Relevant bibliographies by topics / Dynamical Systems

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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 'Dynamical Systems'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Dynamical Systems"

1

Hornstein, John, and V. I. Arnold. "Dynamical Systems." American Mathematical Monthly 96, no. 9 (1989): 861. http://dx.doi.org/10.2307/2324864.

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Chillingworth, D. R. J., D. K. Arrowsmith, and C. M. Place. "Dynamical Systems." Mathematical Gazette 79, no. 484 (1995): 233. http://dx.doi.org/10.2307/3620112.

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Jacob, G. "Dynamical systems." Mathematics and Computers in Simulation 42, no. 4-6 (1996): 639. http://dx.doi.org/10.1016/s0378-4754(97)84413-8.

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Rota, Gian-Carlo. "Dynamical systems." Advances in Mathematics 58, no. 3 (1985): 322. http://dx.doi.org/10.1016/0001-8708(85)90129-x.

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Meiss, James. "Dynamical systems." Scholarpedia 2, no. 2 (2007): 1629. http://dx.doi.org/10.4249/scholarpedia.1629.

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Li, Zhiming, Minghan Wang, and Guo Wei. "Induced hyperspace dynamical systems of symbolic dynamical systems." International Journal of General Systems 47, no. 8 (2018): 809–20. http://dx.doi.org/10.1080/03081079.2018.1524467.

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Nasim, Imran, and Michael E. Henderson. "Dynamically Meaningful Latent Representations of Dynamical Systems." Mathematics 12, no. 3 (2024): 476. http://dx.doi.org/10.3390/math12030476.

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Dynamical systems are ubiquitous in the physical world and are often well-described by partial differential equations (PDEs). Despite their formally infinite-dimensional solution space, a number of systems have long time dynamics that live on a low-dimensional manifold. However, current methods to probe the long time dynamics require prerequisite knowledge about the underlying dynamics of the system. In this study, we present a data-driven hybrid modeling approach to help tackle this problem by combining numerically derived representations and latent representations obtained from an autoencode
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van Gelder, Tim. "The dynamical hypothesis in cognitive science." Behavioral and Brain Sciences 21, no. 5 (1998): 615–28. http://dx.doi.org/10.1017/s0140525x98001733.

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According to the dominant computational approach in cognitive science, cognitive agents are digital computers; according to the alternative approach, they are dynamical systems. This target article attempts to articulate and support the dynamical hypothesis. The dynamical hypothesis has two major components: the nature hypothesis (cognitive agents are dynamical systems) and the knowledge hypothesis (cognitive agents can be understood dynamically). A wide range of objections to this hypothesis can be rebutted. The conclusion is that cognitive systems may well be dynamical systems, and only sust
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Caballero, Rubén, Alexandre N. Carvalho, Pedro Marín-Rubio, and José Valero. "Robustness of dynamically gradient multivalued dynamical systems." Discrete & Continuous Dynamical Systems - B 24, no. 3 (2019): 1049–77. http://dx.doi.org/10.3934/dcdsb.2019006.

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Landry, Nicholas W., and Juan G. Restrepo. "Hypergraph assortativity: A dynamical systems perspective." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 5 (2022): 053113. http://dx.doi.org/10.1063/5.0086905.

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The largest eigenvalue of the matrix describing a network’s contact structure is often important in predicting the behavior of dynamical processes. We extend this notion to hypergraphs and motivate the importance of an analogous eigenvalue, the expansion eigenvalue, for hypergraph dynamical processes. Using a mean-field approach, we derive an approximation to the expansion eigenvalue in terms of the degree sequence for uncorrelated hypergraphs. We introduce a generative model for hypergraphs that includes degree assortativity, and use a perturbation approach to derive an approximation to the e
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Dissertations / Theses on the topic "Dynamical Systems"

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Behrisch, Mike, Sebastian Kerkhoff, Reinhard Pöschel, Friedrich Martin Schneider, and Stefan Siegmund. "Dynamical Systems in Categories." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-129909.

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In this article we establish a bridge between dynamical systems, including topological and measurable dynamical systems as well as continuous skew product flows and nonautonomous dynamical systems; and coalgebras in categories having all finite products. We introduce a straightforward unifying definition of abstract dynamical system on finite product categories. Furthermore, we prove that such systems are in a unique correspondence with monadic algebras whose signature functor takes products with the time space. We substantiate that the categories of topological spaces, metrisable and uniformi
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Zaks, Michael. "Fractal Fourier spectra in dynamical systems." Thesis, [S.l.] : [s.n.], 2001. http://pub.ub.uni-potsdam.de/2002/0019/zaks.ps.

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Haydn, Nicolai Theodorus Antonius. "On dynamical systems." Thesis, University of Warwick, 1986. http://wrap.warwick.ac.uk/55813/.

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Part A. We prove existence of smooth invariant circles for area preserving twist maps close enough to integrable using renormalisation. The smoothness depends upon that of the map and the Liouville exponent of the rotation number. Part B. Ruelle and Capocaccia gave a new definition of Gibbs states on Smale spaces. Equilibrium states of suitable function there on are known to be Gibbs states. The converse in discussed in this paper, where the problem is reduced to shift spaces and there solved by constructing suitable conjugating homeomorphisms in order to verify the conditions for Gibbs states
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Miles, Richard Craig. "Arithmetic dynamical systems." Thesis, University of East Anglia, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.323222.

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Che, Dzul-Kifli Syahida. "Chaotic dynamical systems." Thesis, University of Birmingham, 2012. http://etheses.bham.ac.uk//id/eprint/3410/.

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In this work, we look at the dynamics of four different spaces, the interval, the unit circle, subshifts of finite type and compact countable sets. We put our emphasis on chaotic dynamical system and exhibit sufficient conditions for the system on the interval, the unit circle and subshifts of finite type to be chaotic in three different types of chaos. On the interval, we reveal two weak conditions’s role as a fast track to chaotic behavior. We also explain how a strong dense periodicity property influences chaotic behavior of dynamics on the interval, the unit circle and subshifts of finite
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Hillman, Chris. "Sturmian dynamical systems /." Thesis, Connect to this title online; UW restricted, 1998. http://hdl.handle.net/1773/5806.

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Umenberger, Jack. "Convex Identifcation of Stable Dynamical Systems." Thesis, The University of Sydney, 2017. http://hdl.handle.net/2123/17321.

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This thesis concerns the scalable application of convex optimization to data-driven modeling of dynamical systems, termed system identi cation in the control community. Two problems commonly arising in system identi cation are model instability (e.g. unreliability of long-term, open-loop predictions), and nonconvexity of quality-of- t criteria, such as simulation error (a.k.a. output error). To address these problems, this thesis presents convex parametrizations of stable dynamical systems, convex quality-of- t criteria, and e cient algorithms to optimize the latter over the former. In particu
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Freeman, Isaac. "A modular system for constructing dynamical systems." Thesis, University of Canterbury. Mathematics, 1998. http://hdl.handle.net/10092/8888.

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This thesis discusses a method based on the dual principle of Rössler, and developed by Deng, for systematically constructing robust dynamical systems from lower dimensional subsystems. Systems built using this method may be modified easily, and are suitable for mathematical modelling. Extensions are made to this scheme, which allow one to describe a wider range of dynamical behaviour. These extensions allow the creation of systems that reproduce qualitative features of the Lorenz Attractor (including bifurcation properties) and of Chua's circuit, but which are easily extensible.
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Ozaki, Junichi. "Dynamical quantum effects in cluster dynamics of Fermi systems." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199083.

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CAPPELLINI, VALERIO. "QUANTUM DYNAMICAL ENTROPIES AND COMPLEXITY IN DYNAMICAL SYSTEMS." Doctoral thesis, Università degli studi di Trieste, 2004. http://thesis2.sba.units.it/store/handle/item/12545.

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2002/2003<br>We analyze the behavior of two quantum dynamical entropies in connection with the classical limit. Using strongly chaotic classical dynamical systems as models (Arnold Cat Maps and Sawtooth Maps), we also propose a discretization procedure that resembles quantization; even in this case, studies of quantum dynamical entropy production are carried out and the connection with the continuous limit is explored. In both case (quantization and discretization) the entropy production converge to the Kolmogorov-Sinai invariant on time-scales that are logarithmic in the quantization
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Books on the topic "Dynamical Systems"

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service), SpringerLink (Online, ed. Dynamical Systems. Springer-Verlag Berlin Heidelberg, 2011.

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Tu, Pierre N. V. Dynamical Systems. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-02779-0.

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Arrowsmith, D. K., and C. M. Place. Dynamical Systems. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2388-4.

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Alexander, James C., ed. Dynamical Systems. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082819.

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Arnold, Ludwig, Christopher K. R. T. Jones, Konstantin Mischaikow, and Geneviève Raugel. Dynamical Systems. Edited by Russell Johnson. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0095237.

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Kurzhanski, Alexander B., and Karl Sigmund, eds. Dynamical Systems. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-662-00748-8.

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Barreira, Luis, and Claudia Valls. Dynamical Systems. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4835-7.

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Pickl, Stefan, and Werner Krabs. Dynamical Systems. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13722-8.

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Marchioro, C., ed. Dynamical Systems. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-13929-1.

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Luo, Albert C. J., ed. Dynamical Systems. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-5754-2.

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Book chapters on the topic "Dynamical Systems"

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Greiner, Walter. "Dynamical Systems." In Classical Mechanics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03434-3_23.

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McLennan, Andrew. "Dynamical Systems." In Advanced Fixed Point Theory for Economics. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0710-2_15.

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Neimark, Juri I. "Dynamical systems." In Foundations of Engineering Mechanics. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-47878-2_2.

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Collet, Pierre, Servet Martínez, and Jaime San Martín. "Dynamical Systems." In Quasi-Stationary Distributions. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33131-2_8.

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Michel, Anthony N., Ling Hou, and Derong Liu. "Dynamical Systems." In Systems & Control: Foundations & Applications. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15275-2_2.

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Bhatia, Nam Parshad, and George Philip Szegö. "Dynamical Systems." In Stability Theory of Dynamical Systems. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-642-62006-5_2.

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Polderman, Jan Willem, and Jan C. Willems. "Dynamical Systems." In Texts in Applied Mathematics. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4757-2953-5_1.

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Sun, Jian-Qiao, Fu-Rui Xiong, Oliver Schütze, and Carlos Hernández. "Dynamical Systems." In Cell Mapping Methods. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0457-6_2.

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Bubnicki, Zdzislaw. "Dynamical Systems." In Analysis and Decision Making in Uncertain Systems. Springer London, 2004. http://dx.doi.org/10.1007/978-1-4471-3760-3_8.

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Everest, Graham, and Thomas Ward. "Dynamical Systems." In Heights of Polynomials and Entropy in Algebraic Dynamics. Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-3898-3_2.

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Conference papers on the topic "Dynamical Systems"

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Cotler, Jordan, and Semon Rezchikov. "Computational Dynamical Systems." In 2024 IEEE 65th Annual Symposium on Foundations of Computer Science (FOCS). IEEE, 2024. http://dx.doi.org/10.1109/focs61266.2024.00021.

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Ferreira, Marcos V., Tatiane N. Rios, and Ricardo A. Rios. "Fuzzifying Chaos in Dynamical Systems." In 2024 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2024. http://dx.doi.org/10.1109/fuzz-ieee60900.2024.10612167.

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Jiang, Yunping, and Lan Wen. "DYNAMICAL SYSTEMS." In Proceedings of the International Conference in Honor of Professor Liao Shantao. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814527002.

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Andersson, Stig I., Ǻke E. Andersson, and Ulf Ottoson. "Dynamical Systems." In Conference. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814535526.

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Shan-Tao, Liao, Ye Yan-Qian, and Ding Tong-Ren. "Dynamical Systems." In Special Program at Nankai Institute of Mathematics. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814535892.

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"Dynamical systems." In Proceedings of the 7th International ISAAC Congress. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814313179_others11.

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Chen, Wenchao, Bo Chen, Yicheng Liu, Qianru Zhao, and Mingyuan Zhou. "Switching Poisson Gamma Dynamical Systems." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/281.

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We propose Switching Poisson gamma dynamical systems (SPGDS) to model sequentially observed multivariate count data. Different from previous models, SPGDS assigns its latent variables into mixture of gamma distributed parameters to model complex sequences and describe the nonlinear dynamics, meanwhile, capture various temporal dependencies. For efficient inference, we develop a scalable hybrid stochastic gradient-MCMC and switching recurrent autoencoding variational inference, which is scalable to large scale sequences and fast in out-of-sample prediction. Experiments on both unsupervised and
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Boutayeb, M. "A decentralized software sensor based approach for large-scale dynamical systems." In 2010 4th Annual IEEE Systems Conference. IEEE, 2010. http://dx.doi.org/10.1109/systems.2010.5482344.

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Rabinovich, Y., A. Sinclair, and A. Wigderson. "Quadratic dynamical systems." In Proceedings., 33rd Annual Symposium on Foundations of Computer Science. IEEE, 1992. http://dx.doi.org/10.1109/sfcs.1992.267761.

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Pokorny, Pavel. "Excitable dynamical systems." In 12th Czech-Slovak-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, edited by Jan Perina, Sr., Miroslav Hrabovsky, and Jaromir Krepelka. SPIE, 2001. http://dx.doi.org/10.1117/12.417864.

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Reports on the topic "Dynamical Systems"

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Newhouse, Sheldon E. Dynamical Systems. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada215319.

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Hale, Jack K. Analysis of Dynamical Systems. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada204636.

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Jones, Christopher, Steven Wiggins, and George Haller. Dynamical Systems and Oceanography. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada279807.

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Jones, Christopher, Steven Wiggins, and George Haller. Dynamical Systems and Oceanography. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada282635.

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Hale, Jack K. Analysis of Dynamical Systems. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada166224.

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Weerasinghe, Ananda P. Controlled Stochastic Dynamical Systems. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada470046.

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Philip Holmes. NONLINEAR DYNAMICAL SYSTEMS - Final report. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/888778.

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Denman, Matthew R., and Arlo Leroy Ames. Dynamical systems probabilistic risk assessment. Office of Scientific and Technical Information (OSTI), 2014. http://dx.doi.org/10.2172/1177044.

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Barbone, Paul E. Shock Survivability of Dynamical Systems. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada363045.

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Glinsky, Michael Edwin, and Poul Hjorth. Helicity in Hamiltonian dynamical systems. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1595915.

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