Relevant bibliographies by topics / Chaos/complexity theory

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Chaos/complexity theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 20 February 2023

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Journal articles on the topic "Chaos/complexity theory"

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Woehle, Ralph. "Complexity Theory, Nonlinear Dynamics, and Change: Augmenting Systems Theory." Advances in Social Work 8, no. 1 (April 30, 2007): 141–51. http://dx.doi.org/10.18060/137.

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Social work change processes are addressed in terms of complexity theory and nonlinear dynamics, adding the edge-of-chaos, as well as chaos to the entropy and homeostasis of ecosystems theory. Complexity theory sees the edge-of-chaos as valuable to living systems.A logistic difference equation is utilized to model the nonlinear dynamics of the hypothetical contentment of an individual. The modeling suggests that substantial input would be required to move an individual from homeostasis to the beneficial stage at the edge-of-chaos, but that too much input might result in chaos.With good measurement and data observed over time, social work might benefit from complexity theory and nonlinear dynamics, which are already advancing in related disciplines.
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Tsoukas, Haridimos. "Introduction: Chaos, Complexity and Organization Theory." Organization 5, no. 3 (August 1998): 291–313. http://dx.doi.org/10.1177/135050849853001.

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Johnson, Jonathan L., and Brian K. Burton. "Chaos and Complexity Theory for Management." Journal of Management Inquiry 3, no. 4 (December 1994): 320–28. http://dx.doi.org/10.1177/105649269434005.

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Érdi, Péter. "Complexity underestimated?" Behavioral and Brain Sciences 26, no. 6 (December 2003): 676–77. http://dx.doi.org/10.1017/s0140525x03310155.

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Instead of commenting directly on Foundations of Language: Brain, Meaning, Grammar, Evolution, I provide some remarks from an interdisciplinary view. Language theory is examined from the perspective of the theory of complex systems. The gestural-vocal dichotomy, network theory, evolutionary mechanisms/algorithms, chaos theory, and constructive approach are briefly mentioned.
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Ichinose, Natsuhiro, and Kazuyuki Aihara. "Challange to Complexity. (3). Theory of Chaos." Journal of the Institute of Television Engineers of Japan 50, no. 3 (1996): 358–65. http://dx.doi.org/10.3169/itej1978.50.358.

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MASON, ROGER B. "COPING WITH COMPLEXITY AND TURBULENCE - AN ENTREPRENEURIAL SOLUTION." Journal of Enterprising Culture 14, no. 04 (December 2006): 241–66. http://dx.doi.org/10.1142/s0218495806000155.

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This paper considers the adoption of an entrepreneurial orientation as a paradigm for companies operating in a complex and turbulent environment, viewing the environment as a complex and turbulent system in terms of chaos theory. Approaches suggested by chaos theory are compared with the entrepreneurial orientation to identify if such an orientation matches these suggested approaches. Literature on chaos theory and entrepreneurship is compared, and a short case is presented, providing an illustration of how a company operating successfully in a complex and turbulent environment has used the principles of an entrepreneurial orientation. The paper identifies considerable similarity between the management approaches suggested by chaos theory and the principles of the entrepreneurial orientation, indicating that chaos theory may provide the theoretical underpinning of the relationship between entrepreneurial orientation and turbulent environments. The case also shows how an entrepreneurial orientation has been successfully used in a complex and turbulent environment. The conclusion is that companies operating in a complex and turbulent environment could benefit from adopting an entrepreneurial orientation.
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Joshi, Ravindra V., and handrashekhar N. "PACS.i - A Complexity Theory based Framework for Battle Management." Webology 19, no. 1 (January 20, 2022): 3330–47. http://dx.doi.org/10.14704/web/v19i1/web19219.

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A Platform based on Complexity Theory will consist of domain specific framework, dynamics, and systems. PACS.i is a framework through modern combat missions can be conveniently managed. PACS stand for Planner, Analyst, Commander and Soldier. While Planner and Analyst define pre and post battle view, soldier models frog’s view of combat in execution and commander bird’s view of same. These roles should handle Population, Spatial, Temporal and Causal dynamics (with their sub-classes). Also four types of Systems - regular, complex, chaos-based and stochastic can realize these architectures with varied benefits and losses. This paper explores the relation between roles, dynamics, and systems. PACS.i framework is result of synergy between all three of these.
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SENGUPTA, A. "TOWARD A THEORY OF CHAOS." International Journal of Bifurcation and Chaos 13, no. 11 (November 2003): 3147–233. http://dx.doi.org/10.1142/s021812740300851x.

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This paper formulates a new approach to the study of chaos in discrete dynamical systems based on the notions of inverse ill-posed problems, set-valued mappings, generalized and multivalued inverses, graphical convergence of a net of functions in an extended multifunction space [Sengupta & Ray, 2000] and the topological theory of convergence. Order, chaos and complexity are described as distinct components of this unified mathematical structure that can be viewed as an application of the theory of convergence in topological spaces to increasingly nonlinear mappings, with the boundary between order and complexity in the topology of graphical convergence being the region in (Multi(X)) that is susceptible to chaos. The paper uses results from the discretized spectral approximation in neutron transport theory [Sengupta, 1988, 1995] and concludes that the numerically exact results obtained by this approximation of the Case singular eigenfunction solution is due to the graphical convergence of the Poisson and conjugate Poisson kernels to the Dirac delta and the principal value multifunctions respectively. In (Multi(X)), the continuous spectrum is shown to reduce to a point spectrum, and we introduce a notion of latent chaotic states to interpret superposition over generalized eigenfunctions. Along with these latent states, spectral theory of nonlinear operators is used to conclude that nature supports complexity to attain efficiently a multiplicity of states that otherwise would remain unavailable to it.
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Petrovic, Slavica. "The complexity paradigm in management reconceptualizing." Ekonomski anali 50, no. 167 (2005): 107–39. http://dx.doi.org/10.2298/eka0567107p.

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Chaos and complexity theory is a special, functionalist systems approach to dealing with complex, dynamic, nonlinear systems. Through treating organizations as complex, with their environments coevolving, nonlinear systems, complexity theory is aimed at creative research of their erratic nature. When an organization is in a state of bounded instability, at the edge of chaos, order and disorder are intertwined, its behavior is irregular and unpredictable but has some pattern. According to the complexity paradigm organizations have to strive to avoid the equilibrium states of stability and instability. They have instead to strive to remain in a state of bounded instability, at the edge of chaos, where they are able to display their full potential for creativity and innovation.
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Burke, John P., and Stanley L. Pestotnik. "Antibiotic resistance-systems thinking, chaos and complexity theory." Current Opinion in Infectious Diseases 12, no. 4 (August 1999): 317–19. http://dx.doi.org/10.1097/00001432-199908000-00001.

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Dissertations / Theses on the topic "Chaos/complexity theory"

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Colijn, Caroline. "Addressing complexity, exploring social change through chaos and complexity theory." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/mq43374.pdf.

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Greybe, Sylvia Elizabeth. "Comparing chaos and complexity : the quest for knowledge." Thesis, Stellenbosch : Stellenbosch University, 2004. http://hdl.handle.net/10019.1/49889.

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Thesis (MA)--University of Stellenbosch, 2004.
ENGLISH ABSTRACT: The question of what it means to say one knows something, or has knowledge of something, triggered an epistemological study after the nature of knowledge and its acquisition. There are many different ways in which one can go about acquiring knowledge, manydifferent frameworks that one can use to search after truth. Because most real systems about which one could desire knowledge (organic, social, economic etc.) are non-linear, an understanding of non-linear systems is important for the process of acquiring knowledge. Knowledge exhibits the characteristics of a dynamic, adaptive system, and as such could be approached via a dynamic theory of adaptive systems. Therefore, chaos theory and complexity theory are two theoretical (non-linear) frameworks that can facilitate the knowledge acquisition process. As a modernist instrument for acquiring knowledge, chaos theory provides one with deterministic rules that make mathematical understanding of non-linear phenomenaa bit easier, but it is limited in that it can only provide one with certain knowledge up until the (system's) next bifurcation (i.e. when chaos sets in). After this, it is near impossible to predict what a chaotic system will do. Complexity theory, as a postmodern tool for knowledge acquisition, gives one insight into the dynamic, self-organising nature of the non-linear systems around one. By analysing the global stability complex systems produce during punctuated equilibrium, one can learn much about how these systems adapt, evolve and survive. Complexity and chaos, therefore, together can provide one with a useful framework for understanding the nature and workings of non-linear systems. However, it should be remembered that every observer of knowledge does so out of his/her own personal framework of beliefs, circumstances and history, and that knowledge therefore can never be 100 percent objective. Knowledge and truth can never be entirely relative either, however, for this would mean that all knowledge (and thereby all opposing claims and statements) is equally correct or true. This is clearly not possible. What is possible, though, is the fulfilling and successful pursuit of knowledge for the sake of the journey of learning and understandi ng.
AFRIKAANSE OPSOMMING: Die vraag na wat dit eintlik beteken om te sê mens weet iets, of dra kennis van iets, het na 'n epistemologiese soeke na die wese van kennis en die verwerwing daarvan toe gelei. Daar is baie maniere waarop mens kennis kan verwerf, baie verskillende raamwerke wat mens kan gebruik om te soek na waarheid. Omdat die meeste wesenlike stelsels waarvan mens kennis sou wou verkry (organies, sosiaal, ekonomies ens.) nie-lineêr is, is 'n verstaan van nie-lineêre stelsels belangrik vir die kennisverwerwingsproses. Kennis vertoon die eienskappe van I n dinamiese, aanpassende stelsel, en kan dus via 'n dinamiese teorie van aanpassendestelsels benader word. Daarom is chaosteorie en kompleksiteitsteorie twee teoretiese (nie-lineêre) raamwerke wat die proses van kennisverwerwing kan vergemaklik. As I n modernistiese instrument vir kennisverwerwing, verskaf chaosteorie deterministiese reëls wat die wiskundige verstaan van nie-lineêre verskynsels bietjie vergemaklik, maar dit is beperk deurdat dit net sekere kennis tot op die (stelsel se) volgende splitsing (d.w.s. waar chaos begin) verskaf. Hierna, word dit naasonmoontlik om te voorspel wat I n chaotiese stelsel gaandoen. Kompleksiteitsteorie, as I n postmodernistiese gereedskap vir kennisverwerwing, gee mens insig in die dinamiese, selforganiserende aard van die nie-lineêre stelsels om mens. Deur die globale stabiliteit wat komplekse stelsels gedurende onderbreekte ewewig ("punctuated equi/ibrium"}toon te analiseer, kan mens baie leer van hoe hierdie stelsels aanpas, ontwikkel en oorleef. Kompleksiteit en chaos, saam, kan mens dus van a nuttige raamwerk vir die verstaan van die wese en werkinge van nie-lineêre stelsels, voorsien. Daar moet egter onthou word dat elke waarnemer van kennis dit doen uit sy/haar persoonlike raamwerk van oortuiginge, omstandighede en geskiedenis, en dat kennis dus nooit 100 persent objektief kan wees nie. Kennis en waarheid kan egter ook nooit heeltemaal relatief wees nie, want dit sou beteken dat alle kennis (en hiermee ook alle teenstrydige aansprake en stellings) gelyk korrek of waar is. Hierdie is duidelik onmoontlik. Wat wel moontlik is, is die vervullende en suksesvolle strewe na kennis ter wille van die reis van leer en verstaan.
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Bengtsson, Jonas. "Thriving at the Edge of Chaos." Thesis, Blekinge Tekniska Högskola, Institutionen för programvaruteknik och datavetenskap, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-5975.

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In this master thesis two different worldviews are compared: a mechanistic, and an organic worldview. The way we think the world and the nature work reflects on how we think organizations work, or how they ought to work. The mechanistic worldview has dominated our way of thinking since the seventeenth century, and it compares the world with a machine. The organic worldview could use a number of different metaphors, but the one addressed in this thesis is complexity theory. Complexity theory is related to chaos theory and is concerned with complex adaptive systems (cas). Complex adaptive systems exist everywhere and are systems such as the human immune system, economies, and ecosystems. What complexity theory tries to do is to understand these systems—how they arise, how they function and how order emerge in them. When looking at complex adaptive systems you can’t just look at the different parts. You must take a more holistic view and look at the whole and the interaction of the parts. If you just look at the parts you will miss the emergent properties that have emerged as the system has self-organized. One prominent aspect of these systems is that they don’t have any central authority, but somehow order do arise. In relation to organizations, complexity theory has something to say about almost all aspects of organizations: from what kind of leadership is needed, and how teams should be organized to the physical structure of the organization. To understand what complexity theory is and how to relate that to (software developing) organizations is the main focus of this thesis. Scrum is an agile and lightweight process which can be applied on development projects in general, but have been used in such diverse examples as software development projects, marketing programs, and business process reengineering (BPR) initiatives. In this thesis Scrum is used as an example of how to apply complexity theory to organizations. The result of the thesis showed that Scrum is highly influenced and compatible with complexity theory, which implies that complexity theory is of some use in software development. However, there are more work to be done to determine how effective it is, how to introduce it into organizations, and to explore more specific implementations. This master thesis should give the reader a good understanding of what complexity theory is, some specific issues to consider when applying complexity theory on organizations, and some specific examples of how to apply complexity theory on organizations.
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Milliner, Lloyd A., and n/a. "Systems Thinking and Strategic Decision-Making: A Consideration of Chaos Theory." Griffith University. Griffith Business School, 2006. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20070212.162743.

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Strategic decision-making is a fundamental process in business management as strategic decisions affect the long-term health of the organisation. However, a constantly and unpredictably changing business environment, becoming progressively more complex as time passes makes strategy formulation increasingly difficult. Shock events such as terrorist attacks, rapidly spreading communicable diseases, and unexpected business failures of large and well-established companies greatly affect organisations by making it difficult to effectively plan for the future. This thesis contributes to the strategic decision-making literature by investigating the role of shock events in a complex system, namely strategic decision-making. Using chaos/complexity theory as an intellectual platform this thesis argues that strategic decision-making is a complex, open, dynamic and non-linear system and that shock events can represent an opportunity in strategic decision-making. A number of contemporary writers are calling for more integrated models. In response this research proposes a generic and integrative framework that highlights the complexity of strategic decision-making and its processes. The research is qualitative and a single-case study approach was chosen, examining the decision-making processes in a large Australian regional airport. Data collection was triangulated, consisting mainly of in-depth interviews with executives but also included questionnaires, and quantitative and qualitative archival data. It was found that shock events influenced strategic decision-making by causing evolutionary changes in the strategic decision-making processes. In addition it was found that shock events impacted on internal drivers such as cognition and organisational culture. The shock event was perceived as an opportunity, which resulted in changing decision-making processes a change in business strategy. It was concluded that environmental perception, intuition and an opportunity-seeking culture can play an important part in strategic decision-making following a shock event.
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Milliner, Lloyd A. "Systems Thinking and Strategic Decision-Making: A Consideration of Chaos Theory." Thesis, Griffith University, 2006. http://hdl.handle.net/10072/366984.

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Strategic decision-making is a fundamental process in business management as strategic decisions affect the long-term health of the organisation. However, a constantly and unpredictably changing business environment, becoming progressively more complex as time passes makes strategy formulation increasingly difficult. Shock events such as terrorist attacks, rapidly spreading communicable diseases, and unexpected business failures of large and well-established companies greatly affect organisations by making it difficult to effectively plan for the future. This thesis contributes to the strategic decision-making literature by investigating the role of shock events in a complex system, namely strategic decision-making. Using chaos/complexity theory as an intellectual platform this thesis argues that strategic decision-making is a complex, open, dynamic and non-linear system and that shock events can represent an opportunity in strategic decision-making. A number of contemporary writers are calling for more integrated models. In response this research proposes a generic and integrative framework that highlights the complexity of strategic decision-making and its processes. The research is qualitative and a single-case study approach was chosen, examining the decision-making processes in a large Australian regional airport. Data collection was triangulated, consisting mainly of in-depth interviews with executives but also included questionnaires, and quantitative and qualitative archival data. It was found that shock events influenced strategic decision-making by causing evolutionary changes in the strategic decision-making processes. In addition it was found that shock events impacted on internal drivers such as cognition and organisational culture. The shock event was perceived as an opportunity, which resulted in changing decision-making processes a change in business strategy. It was concluded that environmental perception, intuition and an opportunity-seeking culture can play an important part in strategic decision-making following a shock event.
Thesis (Masters)
Master of Philosophy (MPhil)
Griffith Business School
Griffith Business School
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Romano, Arthur. "Educating on the edge of chaos : using complexity theory to examine pedagogical responses to global complexity by peace educators." Thesis, University of Bradford, 2012. http://hdl.handle.net/10454/5725.

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This dissertation examines the nexus of complexity theory and peace education and its implications for developing educational praxis that engages with the demands of global complexity. In this thesis, I argue that as societies become more globalized and complex (global complexity) there is an onus upon education to adapt its methods so people can understand the workings of these processes better and further develop the ethical and creative resources needed for responding to system dynamics effectively. My central thesis is that the most appropriate way to do this is to use methods that are congruent with the subject matter of global complexity - that is to align one's pedagogy with one's subject area. This dissertation therefore investigates the situated and contingent responses of peace educators working in the field to the challenges and opportunities that arise when attempting to adapt to local/global dynamics. It utilizes ethnography, narrative inquiry, and autoethnography and draws its data from interviews with over 50 educators in India, Japan, and the US. This research demonstrates that when engaging with global complexity, peace educators adapt both their ontological understanding and methodological orientation in ways congruent at times with the insights of complexity theory. While this understanding can be at odds with mass educational methodologies, this tension also is a touchstone for peace educator's creative formulation of novel praxis in response to the demands of global complexity. This dissertation thus examines some of the possibilities for learning within complex knowledge production systems and highlights the need for further research into the dynamics and processes at play within global educational 'networks'.
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Ortegón, Monroy María Carolina. "An explanation of chaos and complexity theory in management from a critical systems thinking perspective." Thesis, University of Lincoln, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.269786.

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Della-Bosca, Daniel J. "The Aesthetic Implications of Complexity Theory in Regard to Object Creation and Haptic Response." Thesis, Griffith University, 2021. http://hdl.handle.net/10072/409180.

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This research explores the idea of complexity for the express purpose of contributing to and expanding upon the lexicons of Art and Design. This exploration of complexity is undertaken by questioning a sensorial response to complex form, particularly through touch. The question in plain terms is, do we like to touch simple things or complex things? Touch is of course but one aspect of the suite of haptic senses, so proprioceptive, vestibular, and kinaesthetic senses are addressed, as is the deep and intertwined relationship between hapticity and sight. The research methodology is practice-led and has encompassed the methods of action research and participant study. I offer that the primary contributions to research are in the method of dialogue between creative practitioner and fractal algorithms expressed through novel technical methods of procedure explored and conveyed through object and through analysis in this thesis.
Thesis (PhD Doctorate)
Doctor of Philosophy (PhD)
Queensland College of Art
Arts, Education and Law
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Krützmann, Nikolai Christian. "Application of Complexity Measures to Stratospheric Dynamics." Thesis, University of Canterbury. Physics and Astronomy, 2008. http://hdl.handle.net/10092/2020.

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This thesis examines the utility of mathematical complexity measures for the analysis of stratospheric dynamics. Through theoretical considerations and tests with artificial data sets, e.g., the iteration of the logistic map, suitable parameters are determined for the application of the statistical entropy measures sample entropy (SE) and Rényi entropy (RE) to methane (a long-lived stratospheric tracer) data from simulations of the SOCOL chemistry-climate model. The SE is shown to be useful for quantifying the variability of recurring patterns in a time series and is able to identify tropical patterns similar to those reported by previous studies of the ``tropical pipe'' region. However, the SE is found to be unsuitable for use in polar regions, due to the non-stationarity of the methane data at extra-tropical latitudes. It is concluded that the SE cannot be used to analyse climate complexity on a global scale. The focus is turned to the RE, which is a complexity measure of probability distribution functions (PDFs). Using the second order RE and a normalisation factor, zonal PDFs of ten consecutive days of methane data are created with a Bayesian optimal binning technique. From these, the RE is calculated for every day (moving 10-day window). The results indicate that the RE is a promising tool for identifying stratospheric mixing barriers. In Southern Hemisphere winter and early spring, RE produces patterns similar to those found in other studies of stratospheric mixing. High values of RE are found to be indicative of the strong fluctuations in tracer distributions associated with relatively unmixed air in general, and with gradients in the vicinity of mixing barriers, in particular. Lower values suggest more thoroughly mixed air masses. The analysis is extended to eleven years of model data. Realistic inter-annual variability of some of the RE structures is observed, particularly in the Southern Hemisphere. By calculating a climatological mean of the RE for this period, additional mixing patterns are identified in the Northern Hemisphere. The validity of the RE analysis and its interpretation is underlined by showing that qualitatively similar patterns can be seen when using observational satellite data of a different tracer. Compared to previous techniques, the RE has the advantage that it requires significantly less computational effort, as it can be used to derive dynamical information from model or measurement tracer data without relying on any additional input such as wind fields. The results presented in this thesis strongly suggest that the RE is a useful new metric for analysing stratospheric mixing and its variability from climate model data. Furthermore, it is shown that the RE measure is very robust with respect to data gaps, which makes it ideal for application to observations. Hence, using the RE for comparing observations of tracer distributions with those from model simulations potentially presents a novel approach for analysing mixing in the stratosphere.
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Oliveira, Jefferson Freitas Amancio de. "Estudo sobre a emergência de padrões de estrutura organizacional em empresas atuantes no Brasil: uma abordagem baseada na teoria da complexidade e do caos." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/12/12139/tde-28082013-165731/.

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A proposta da tese é contribuir para um melhor entendimento das organizações por meio da utilização de conceitos da teoria da Complexidade e Caos. Entendendo a organização como um sistema adaptativo complexo, busca-se, através de aspectos relacionados à conectividade, interdependência e diversidade, a identificação de padrões de estrutura organizacional em empresas brasileiras. Foi realizada uma pesquisa exploratória a partir de bases de dados de 417 empresas, 118 mil de seus funcionários, de 22 setores de atividades diferentes que se candidatam ao prêmio de \"Melhores Empresas para se Trabalhar\", organizado pela FIA - Fundação Instituto de Administração e Você S/A. Para análise foram utilizadas técnicas diversas de mineração de dados, de escalonamento multidimensional e desenvolvidos algoritmos para o delineamento de formações gráficas da amplitude de controle e rotinas para análise da estrutura de tarefas e da tensão adaptativa entre objetivos individuais e da organização. Os resultados da pesquisa revelaram que foram identificados padrões relacionados à conectividade e interdependência interna. Especificamente, observou-se também que fatores como a amplitude de controle e tensão adaptativa entre objetivos pessoais e organizacionais também manifestaram a emergência de padrões estruturais, independente do setor de atividade.
The purpose of this dissertation is to contribute to a better understanding of organizations through the use of the concepts of the Chaos and Complexity theory. Assuming the organization as a complex adaptive system, it aims to identify patterns of organizational structure in Brazilian companies through connectivity, interdependence and diversity organizational aspects. The study entails an exploratory research in databases in 417 companies (22 economic sectors) and 118 thousands employees that applied for the award of the best companies to work for (Melhores Empresas para se Trabalhar) organized by FIA - Fundação Instituto de Administração and Você S/A. In the analysis it was used data mining techniques, multidimensional scaling and algorithms developed for the design of graphical formations, the span of control, structure and tasks and the adaptive tension between individual goals and the ones found in organizations where the employee works at. The results of the study point to patterns identified and related to organizational characteristics that denote the internal connectivity and interdependence. Structural patterns on information from different economic sectors companies were identified and related to factors such as span of control and adaptive tension between individual goals and perceived characteristics in organizations.
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Books on the topic "Chaos/complexity theory"

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Kelsey, Robert Bruce. Chaos and complexity in software. Commack, N.Y: Nova Science Publishers, 1999.

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Applied chaos theory: A paradigm for complexity. Boston: Academic Press, 1993.

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Chaos and complexity theory in world politics. Hershey PA: Business Science Reference, 2014.

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Chaos and complexity theory for management: Nonlinear dynamics. Hershey, PA: Information Science Reference, 2013.

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Workshop on Chaos and Complexity (1987 Turin, Italy). Workshop on Chaos and Complexity, Torino, October 5-11, 1987. Edited by Livi Roberto and Institute for Scientific Interchange. Singapore: World Scientific, 1988.

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Bütz, Michael R. Chaos and complexity: Implications for psychological theory and practice. Washington, DC: Taylor & Francis, 1997.

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Geert, Paul van. Dynamic systems of development: Change between complexity and chaos. New York: Harvester Wheatsheaf, 1994.

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Matthijs, Koopmans, and Pincus David 1969-, eds. Chaos and complexity in psychology: The theory of nonlinear dynamical systems. Cambridge: Cambridge University Press, 2009.

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Encounter with chaos: Self-organized hierarchical complexity in semiconductor experiments. Berlin: Springer-Verlag, 1992.

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The Nazis' march to chaos: The Hitler era through the lenses of chaos-complexity theory. Westport, CT: Praeger, 2000.

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Book chapters on the topic "Chaos/complexity theory"

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Turtz, John. "Chaos and Complexity Theory." In Enriching Psychoanalysis, 47–67. London: Routledge, 2022. http://dx.doi.org/10.4324/9781003271499-6.

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Abu el Ata, Nabil, and Maurice J. Perks. "Singularity and Chaos Theory." In Solving the Dynamic Complexity Dilemma, 175–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54310-4_17.

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Buzzi, Jérôme. "Chaos and Ergodic Theory." In Mathematics of Complexity and Dynamical Systems, 63–87. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-1806-1_6.

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Buzzi, Jérôme. "Chaos and Ergodic Theory." In Encyclopedia of Complexity and Systems Science, 953–78. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-30440-3_64.

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Alia, Mohammad Ahmad. "Cryptosystems Based on Chaos Theory." In Chaos, Complexity and Leadership 2013, 129–45. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09710-7_11.

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Kappraff, Jay. "Complexity and Chaos Theory in Art." In The Frontiers Collection, 117–38. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27577-8_9.

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Erkoçak, Ege, and Şuay Nilhan Açıkalın. "Complexity Theory in Public Administration and Metagovernance." In Chaos, Complexity and Leadership 2013, 73–84. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09710-7_6.

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Bozlağan, Recep. "Ideas on Municipalities, Chaos Theory and Transformational Leadership." In Chaos, Complexity and Leadership 2012, 165–75. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-7362-2_21.

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Kanat, Selim. "International System, Transformation of Terrorism and Chaos Theory." In Chaos, Complexity and Leadership 2020, 107–20. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-74057-3_9.

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Klages, Rainer. "Weak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics." In Nonlinear Systems and Complexity, 3–42. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6962-9_1.

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Conference papers on the topic "Chaos/complexity theory"

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Togawa, K., A. Benigni, and A. Monti. "A MATLAB graphical user interface for nonintrusive polynomial chaos theory." In 2012 Complexity in Engineering (COMPENG). IEEE, 2012. http://dx.doi.org/10.1109/compeng.2012.6242955.

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Herbert, Donald E. "Overview of nonlinear dynamical systems and complexity theory." In Introduction to chaos and the changing nature of science and medicine. AIP, 1996. http://dx.doi.org/10.1063/1.51056.

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Werbos, P. J. "Extending chaos and complexity theory to address life, brain and quantum foundations." In Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium. IEEE, 2000. http://dx.doi.org/10.1109/ijcnn.2000.860744.

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Greany, Toby. "Emergence or Chaos? School Networks in Aotearoa and England Through the Lens of Complexity Theory." In 2022 AERA Annual Meeting. Washington DC: AERA, 2022. http://dx.doi.org/10.3102/1883506.

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Parra, M., and Francisco Cuadros. "Statistics, Probability and Chaos." In Statistics and the Internet. International Association for Statistical Education, 2003. http://dx.doi.org/10.52041/srap.03311.

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The study of chaotic behaviour has received substantial attention in many disciplines such as biology, medicine, economics, chemistry, engineering, physics, just to name a few. Although it is often based on deterministic models, chaos is associated with complex, random behaviour and forms of unpredictability. Actually, stochastic methods are well established with nonlinear systems theory. System bifurcations like period-doubling or intermittency, for example, can be observed through estimation of power spectra. Moreover, the concepts for nonlinear measures like correlation dimension or Kolmogorov-entropy are based on probabilistic descriptions. The definition of dimension originally is derived from the probability to find system states within volume elements of an infinitesimal diameter. This definition relies on the fact, that in case of chaotic system, the states in phase space converge to a fractal attractor set. In this sense, probabilistic descriptions are already incorporated in nonlinear system theory. The understanding of some of these concepts is not a trivial task for a beginner student. We present multimedia tools, which can reduce this complexity. The student will experiment with the ideas presented to create fractal landscapes, chaotic systems and to compute fractal dimension.
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Gao, Jianbo, Jing Hu, and Wen-wen Tung. "Multiscale Analysis of Biological Signals." In ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASMEDC, 2011. http://dx.doi.org/10.1115/dscc2011-6084.

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Complex systems often generate highly nonstationary and multiscale signals, due to nonlinear and stochastic interactions among their component systems and hierarchical regulations imposed by the operating environments. The further advances in the fields of life sciences, systems biology, nano-sciences, information systems, and physical sciences, have made it increasingly important to develop complexity measures that incorporate the concept of scale explicitly, so that different behaviors of the signals on varying scales can be simultaneously characterized by the same scale-dependent measure. Here, we propose such a measure, the scale-dependent Lyapunov exponent (SDLE), and develop a unified theory of multiscale analysis of complex data. We show that the SDLE can readily characterize low-dimensional chaos and random 1/fα processes, as well as accurately detect epileptic seizures from EEG data and distinguish healthy subjects from patients with congestive heart failure from heart rate variability (HRV) data. More importantly, our analyses of EEG and HRV data illustrate that commonly used complexity measures from information theory, chaos theory, and random fractal theory can be related to the values of the SDLE at specific scales, and useful information on the structured components of the data is also embodied by the SDLE.
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Ghisu, Tiziano, and Shahrokh Shahpar. "Toward Affordable Uncertainty Quantification for Industrial Problems: Part I — Theory and Validation." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64842.

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Non-intrusive Polynomial Chaos (NIPC) methods have become popular for uncertainty quantification, as they have the potential to achieve a significant reduction in computational cost (number of evaluations) with respect to traditional techniques such as the Monte Carlo approach, while allowing the model to be still treated as a black box. This work makes use of Least Squares Approximations (LSA) in the context of appropriately selected PC bases. An efficient technique based on QR column pivoting has been employed to reduce the number of evaluations required to construct the approximation, demonstrating the superiority of the method with respect to sparse grid quadratures and to LSA with randomly selected quadrature points. Orthogonal (or orthonormal) polynomials used for the PC expansion are calculated numerically based on the given uncertainty distribution, making the approach optimal for any type of input uncertainty. The benefits of the proposed techniques are verified on a number of analytical test functions of increasing complexity and on two engineering test problem (uncertainty quantification of the deflection of a 3- and a 10-bar structure with up to 15 uncertain parameters). The results demonstrate how an LSA approach within a PC framework can be an effective method for UQ, with a significant reduction in computational cost with respect to full tensor and sparse grid quadratures.
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Schäfer, Friederike, Jacob Sturdy, Mateusz Mesek, Aleksander Sinek, Ryszard Białecki, Ziemowit Ostrowski, Bartłomiej Melka, Marcin Nowak, and Leif Rune Hellevik. "Uncertainty quantification and sensitivity analysis during the development and validation of numerical artery models." In 63rd International Conference of Scandinavian Simulation Society, SIMS 2022, Trondheim, Norway, September 20-21, 2022. Linköping University Electronic Press, 2022. http://dx.doi.org/10.3384/ecp192036.

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Increasing age and cardiovascular diseases lead to stiffening of the vasculature. Knowledge about an individual’s arterial stiffness gives insights into the current state of the cardiovascular system and it is considered to be a valuable diagnostic index. However, arterial stiffness cannot be measured directly. Numerical modelling based on measurements of flow and deformation in an individual’s artery enable an indirect means. Our research aims to develop a method to estimate the local arterial stiffness of an artery from non-invasive measurements through inverse modelling. Experimental measurement limitations and the unmeasurable nature of model input parameters lead to uncertainties in the model prediction. Uncertainty quantification and sensitivity analysis (UQSA) inform about how the model prediction is influenced by these uncertainties. Due to the computational expenses of 3D fluid-structure interaction (FSI) models, we reduced the model’s complexity to a 1D model. To verify the 3D-FSI implementation and validate the 1D implementation we performed simulated inflation tests and compared the results with analytical theory. 3D-FSI simulations were performed and compared to the 1D-model predictions for different simplification assumptions. To quantify the impact of uncertainties in input data, polynomial chaos expansion for UQSA was applied to the 1D-model. This analysis revealed the model input parameters which lead to the highest variability in model prediction. UQSA showed that variations in the Young’s modulus and the lumen radius lead to the largest variability in the 1D-model prediction. Thus, we focused in the validation process on the comparison between the the arterial wall behaviour between the 1D and the 3D-FSI model.
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Dogaru, Radu, Ioana Dogaru, Hyongsuk Kim, Sungsik Shin, and Oubong Gwun. "Binary synchronization of chaos in hybrid cellular automata for low complexity image compression and transmission." In 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA 2010). IEEE, 2010. http://dx.doi.org/10.1109/cnna.2010.5430253.

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Tredicce, J. R., E. J. D’Angelo, C. Green, G. B. Mindlin, L. M. Narducci, H. Solari, G. L. Oppo, and L. Gil. "Symmetry Breaking and Defect-Mediated Turbulence in Lasers." In Nonlinear Dynamics in Optical Systems. Washington, D.C.: Optica Publishing Group, 1990. http://dx.doi.org/10.1364/nldos.1990.stdopd146.

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There is a new issue that needs to be explored which concerns the spatial behavior of optical systems and lasers in particular: are lasers able to display the type of complex spatial structures such as one finds under fully developed turbulence conditions in hydrodynamic systems? Turbulence involves increasing complexity not only in time but also in space; one could argue that, just as dynamical chaos results from the presence of at least a few competing frequencies in a nonlinear system, spatial complexity may be obtained when competing spatial structures play a relevant role in the evolution of a dynamical system.
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Reports on the topic "Chaos/complexity theory"

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Soloviev, Vladimir, Andrii Bielinskyi, Oleksandr Serdyuk, Victoria Solovieva, and Serhiy Semerikov. Lyapunov Exponents as Indicators of the Stock Market Crashes. [б. в.], November 2020. http://dx.doi.org/10.31812/123456789/4131.

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The frequent financial critical states that occur in our world, during many centuries have attracted scientists from different areas. The impact of similar fluctuations continues to have a huge impact on the world economy, causing instability in it concerning normal and natural disturbances [1]. The an- ticipation, prediction, and identification of such phenomena remain a huge chal- lenge. To be able to prevent such critical events, we focus our research on the chaotic properties of the stock market indices. During the discussion of the re- cent papers that have been devoted to the chaotic behavior and complexity in the financial system, we find that the Largest Lyapunov exponent and the spec- trum of Lyapunov exponents can be evaluated to determine whether the system is completely deterministic, or chaotic. Accordingly, we give a theoretical background on the method for Lyapunov exponents estimation, specifically, we followed the methods proposed by J. P. Eckmann and Sano-Sawada to compute the spectrum of Lyapunov exponents. With Rosenstein’s algorithm, we com- pute only the Largest (Maximal) Lyapunov exponents from an experimental time series, and we consider one of the measures from recurrence quantification analysis that in a similar way as the Largest Lyapunov exponent detects highly non-monotonic behavior. Along with the theoretical material, we present the empirical results which evidence that chaos theory and theory of complexity have a powerful toolkit for construction of indicators-precursors of crisis events in financial markets.
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