Relevant bibliographies by topics / Classical oscillator

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Classical oscillator'

Author: Grafiati
Published: 25 May 2024

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Journal articles on the topic "Classical oscillator"

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Li, Minggen, and Jingdong Bao. "Effect of Self-Oscillation on Escape Dynamics of Classical and Quantum Open Systems." Entropy 22, no. 8 (July 30, 2020): 839. http://dx.doi.org/10.3390/e22080839.

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We study the effect of self-oscillation on the escape dynamics of classical and quantum open systems by employing the system-plus-environment-plus-interaction model. For a damped free particle (system) with memory kernel function expressed by Zwanzig (J. Stat. Phys. 9, 215 (1973)), which is originated from a harmonic oscillator bath (environment) of Debye type with cut-off frequency wd, ergodicity breakdown is found because the velocity autocorrelation function oscillates in cosine function for asymptotic time. The steady escape rate of such a self-oscillated system from a metastable potential exhibits nonmonotonic dependence on wd, which denotes that there is an optimal cut-off frequency makes it maximal. Comparing results in classical and quantum regimes, the steady escape rate of a quantum open system reduces to a classical one with wd decreasing gradually, and quantum fluctuation indeed enhances the steady escape rate. The effect of a finite number of uncoupled harmonic oscillators N on the escape dynamics of a classical open system is also discussed.
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Adhikari, Sondipon. "Qualitative dynamic characteristics of a non-viscously damped oscillator." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2059 (June 16, 2005): 2269–88. http://dx.doi.org/10.1098/rspa.2005.1485.

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This paper considers the linear dynamics of a single-degree-of-freedom non-viscously damped oscillator. It is assumed that the non-viscous damping force depends on the history of velocity via a convolution integral over an exponentially decaying kernel function. Classical qualitative dynamic properties known for viscously damped oscillators have been generalized to such non-viscously damped oscillators. The following questions of fundamental interest have been addressed: (i) under what conditions can a non-viscously damped oscillator sustain oscillatory motions? (ii) how does the natural frequency of a non-viscously damped oscillator compare with that of an equivalent undamped oscillator? and (iii) how does the decay rate compare with that of an equivalent viscously damped oscillator? Introducing two non-dimensional factors, namely, the viscous damping factor and the non-viscous damping factor, we provide answers to these questions. Wherever possible, attempts are made to relate the new results with equivalent classical results for a viscously damped oscillator.
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Wang, Wei-Ping. "Binary-Oscillator Networks: Bridging a Gap between Experimental and Abstract Modeling of Neural Networks." Neural Computation 8, no. 2 (February 15, 1996): 319–39. http://dx.doi.org/10.1162/neco.1996.8.2.319.

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This paper proposes a simplified oscillator model, called binary-oscillator, and develops a class of neural network models having binary-oscillators as basic units. The binary-oscillator has a binary dynamic variable v = ±1 modeling the “membrane potential” of a neuron, and due to the presence of a “slow current” (as in a classical relaxation-oscillator) it can oscillate between two states. The purpose of the simplification is to enable abstract algorithmic study on the dynamics of oscillator networks. A binary-oscillator network is formally analogous to a system of stochastic binary spins (atomic magnets) in statistical mechanics.
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Khan, Kamran-ul-Haq, and Suhaib Masroor. "Numerical simulation along with the experimental work for an underdamped oscillator using fourth order Runge–Kutta method. An undergraduate experiment." Physics Education 58, no. 6 (August 31, 2023): 065006. http://dx.doi.org/10.1088/1361-6552/acede4.

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Abstract Experiments based on oscillatory motion are an essential part of the curricula for students of physics and engineering in their undergraduate studies, such as the determination of spring constant for a well-known classical oscillator i.e., spring-mass system. Moreover, it is important for students to understand the physics of damped oscillators because, in real-world scenarios, a system involving oscillations cannot be completely analysed without understanding conditions of damped oscillations i.e., underdamped, overdamped, and critical damped. In this work, we design a computational physics lab for the simulation of the underdamped oscillator using an Excel spreadsheet by employing 4th order Runge–Kutta method. Further, we construct a simple experimental setup to observe the damped oscillation and obtaindata for the underdamped system. Final analysis was based on comparison between the experimental data and the numerically estimated data.
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da Costa, Bruno G., Ignacio S. Gomez, and Biswanath Rath. "Exact solution and coherent states of an asymmetric oscillator with position-dependent mass." Journal of Mathematical Physics 64, no. 1 (January 1, 2023): 012102. http://dx.doi.org/10.1063/5.0094564.

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We revisit the problem of the deformed oscillator with position-dependent mass [da Costa et al., J. Math. Phys. 62, 092101 (2021)] in the classical and quantum formalisms by introducing the effect of the mass function in both kinetic and potential energies. The resulting Hamiltonian is mapped into a Morse oscillator by means of a point canonical transformation from the usual phase space ( x, p) to a deformed one ( x γ, Π γ). Similar to the Morse potential, the deformed oscillator presents bound trajectories in phase space corresponding to an anharmonic oscillatory motion in classical formalism and, therefore, bound states with a discrete spectrum in quantum formalism. On the other hand, open trajectories in phase space are associated with scattering states and continuous energy spectrum. Employing the factorization method, we investigate the properties of the coherent states, such as the time evolution and their uncertainties. A fast localization, classical and quantum, is reported for the coherent states due to the asymmetrical position-dependent mass. An oscillation of the time evolution of the uncertainty relationship is also observed, whose amplitude increases as the deformation increases.
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Frolov, Andrei V., and Valeri P. Frolov. "Classical Mechanics with Inequality Constraints and Gravity Models with Limiting Curvature." Universe 9, no. 6 (June 10, 2023): 284. http://dx.doi.org/10.3390/universe9060284.

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In this paper, we discuss mechanical systems with inequality constraints Φ(q,q˙,...)≤0. We demonstrate how such constraints can be taken into account by proper modification of the action which describes the original unconstrained dynamics. To illustrate this approach, we consider a harmonic oscillator in the model with limiting velocity. We compare the behavior of such an oscillator with the behavior of a relativistic oscillator and demonstrate that when the amplitude of the oscillator is large, the properties of both types of oscillators are quite similar. We also discuss inequality constraints, which contain higher derivatives. At the end of the paper, we briefly discuss possible applications of the developed approach to gravity models with limiting curvature.
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POPOV, I. P. "MULTI–INERT OSCILLATORY MECHANISM." Fundamental and Applied Problems of Engineering and Technology 2 (2020): 19–25. http://dx.doi.org/10.33979/2073-7408-2020-340-2-19-25.

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A mechanical oscillatory system with homogeneous elements, namely, with n massive loads (multi– inert oscillator), is considered. The possibility of the appearance of free harmonic oscillations of loads in such a system is shown. Unlike the classical spring pendulum, the oscillations of which are due to the mutual conversion of the kinetic energy of the load into the potential energy of the spring, in a multi–inert oscillator, the oscillations are due to the mutual conversion of only the kinetic energies of the goods. In this case, the acceleration of some loads occurs due to the braking of others. A feature of the multi–inert oscillator is that its free oscillation frequency is not fixed and is determined mainly by the initial conditions. This feature can be very useful for technical applications, for example, for self–neutralization of mechanical reactive (inertial) power in oscillatory systems.
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NEŠKOVIĆ, P. V., and B. V. UROŠEVIĆ. "QUANTUM OSCILLATORS: APPLICATIONS IN STATISTICAL MECHANICS." International Journal of Modern Physics A 07, no. 14 (June 10, 1992): 3379–88. http://dx.doi.org/10.1142/s0217751x92001496.

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We consider a canonical ensemble of q oscillators. Using classical realization for q oscillator algebra,17 we calculate, for a small real q, the partition function and thermodynamic potentials F, E and S. We show that F reaches the minimum and E and S the maximum (as functions of the deformation parameter q) when q = 1 (for the classical oscillator). We argue about possible far-reaching consequences of this fact. As an application we obtain a first quantum correction to Planck's black body radiation law. We introduce the slightly deformed oscillator (SDO) model, which provides us with a significant amount of information about the system. When q = 1, our results are shown to coincide with classical results.
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Murakami, Shintaro, Okuto Ikeda, Yusuke Hirukawa, and Toshiharu Saiki. "Investigation of Eigenmode-Based Coupled Oscillator Solver Applied to Ising Spin Problems." Symmetry 13, no. 9 (September 19, 2021): 1745. http://dx.doi.org/10.3390/sym13091745.

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We evaluate a coupled oscillator solver by applying it to square lattice (N × N) Ising spin problems for N values up to 50. The Ising problems are converted to a classical coupled oscillator model that includes both positive (ferromagnetic-like) and negative (antiferromagnetic-like) coupling between neighboring oscillators (i.e., they are reduced to eigenmode problems). A map of the oscillation amplitudes of lower-frequency eigenmodes enables us to visualize oscillator clusters with a low frustration density (unfrustrated clusters). We found that frustration tends to localize at the boundary between unfrustrated clusters due to the symmetric and asymmetric nature of the eigenmodes. This allows us to reduce frustration simply by flipping the sign of the amplitude of oscillators around which frustrated couplings are highly localized. For problems with N = 20 to 50, the best solutions with an accuracy of 96% (with respect to the exact ground state) can be obtained by simply checking the lowest ~N/2 candidate eigenmodes.
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Kordahl, David. "Complementarity and entanglement in a simple model of inelastic scattering." American Journal of Physics 91, no. 10 (October 1, 2023): 796–804. http://dx.doi.org/10.1119/5.0141389.

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A simple model coupling a one-dimensional beam particle to a one-dimensional harmonic oscillator is used to explore complementarity and entanglement. This model, well-known in the inelastic scattering literature, is presented under three different conceptual approaches, with both analytical and numerical techniques discussed for each. In a purely classical approach, the final amplitude of the oscillator can be found directly from the initial conditions. In a partially quantum approach, with a classical beam and a quantum oscillator, the final magnitude of the quantum-mechanical amplitude for the oscillator's first excited state is directly proportional to the oscillator's classical amplitude of vibration. Nearly the same first-order transition probabilities emerge in the partially and fully quantum approaches, but conceptual differences emerge. The two-particle scattering wavefunction clarifies these differences and allows the consequences of quantum entanglement to be explored.
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Dissertations / Theses on the topic "Classical oscillator"

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Bystrik, Y. "Driven anharmonic oscillator: classical and quantum analysis." Thesis, Sumy State University, 2016. http://essuir.sumdu.edu.ua/handle/123456789/46814.

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The existence of a perfectly isolated quantum system is impossible. In reality, no quantum system is completely isolated from its surroundings, so every quantum system is open to some extent. The dynamics of any open quantum system is described by Lindblad equation [1].
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Tran, Viet-Dung. "Modélisation du dichroïsme circulaire des protéines : modèle simple et applications." Thesis, Orléans, 2015. http://www.theses.fr/2015ORLE2076.

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La spectroscopie de dichroïsme circulaire (CD) est une des techniques fondamentales en biologie structurale qui permet la détermination du contenu en structures secondaires d'une protéine. Le rayonnement synchrotron a considérablement augmenté l’utilité de la méthode, car il permet de travailler avec une gamme spectrale étendue et à meilleure intensité. Le développement de modèles permettant d’établir une relation entre la structure d’une protéine et son spectre CD d’une manière efficace n’a pourtant pas suivi l’évolution technique et l’analyse de spectres CD de protéines entières reste un défi sur le plan théorique. Dans ce contexte, nous avons développé un modèle "minimaliste" pour la spectroscopie CD des protéines, où chaque atome C-alpha de la chaîne principale porte un oscillateur de Lorentz classique, i.e. une charge mobile qui est tenue par un potentiel quadratique. Les oscillateurs sont couplés par un potentiel coulombien et leurs déplacements suivent les tangentes locales respectives de la courbe spatiale décrite par les atomes C-alpha. Le système d'oscillateurs est couplé à une onde électromagnétique plane décrivant la source de lumière et le phénomène d'absorption est modélisé par des forces de friction. Nous montrons que le modèle reproduit correctement le phénomène CD d'une chaîne polypeptidique hélicoïdale et en particulier son signe en fonction de l'orientation de la chaîne. Comme première application, nous présentons l'ajustement du modèle au spectre CD d'un polypeptide composé de 15 résidus qui se plie sous forme d'une hélice alpha. La transférabilité de ces paramètres est ensuite évaluée pour la myoglobine, une protéine de 153 résidus contenant 8 hélices alpha
Circular dichroism (CD) spectroscopy is one of the fundamental techniques in structural biology that allows us to investigate the secondary structure of proteins. Synchrotron radiation has considerably increased the usefulness of the method because it allows to work with a wider range of spectrum and much greater signal-to-noise ratios. The development of a theoretical model to establish a relationship between the structure of a protein and its CD spectra in an efficient manner proved to be a complex task. The calculation of the CD spectra of large molecules, such as protein, remains a challenge, due to the size and flexibility of the molecules. In this context, we have developed a “minimal” model to explain the CD spectroscopy of proteins, which associates each C-alpha position on the protein backbone with a classical Lorentz oscillator i.e. a mobile charge attaches to a corresponding atom by a quadratic potential. The coupling between charges is through the Coulomb potential and their displacements follow the direction of the respective local tangents to the Calpha space curve. This system is coupled to a planar electromagnetic wave describing the light source and the absorption phenomenon is modeled by frictional forces. We show that the model correctly reproduces the CD phenomenon of a helical polypeptide chain and in particular its sign depending on the orientation of the chain. At first, we have fitted a model to CD spectra of a polypeptide chain of 15 residues folded into alpha helix. The transferability of these parameters is then evaluated with myoglobin, a protein of 153 residues containing eight alpha helices
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Burks, Sidney. "Towards A Quantum Memory For Non-Classical Light With Cold Atomic Ensembles." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2010. http://tel.archives-ouvertes.fr/tel-00699270.

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Une mémoire quantique réversible permettant de stocker et relire de l'information quantique est une composante majeure dans la mise en œuvre de nombreux protocoles d'information quantique. Comme la lumière est un porteur de l'information quantique fiable sur des longues distances, et comme les atomes offrent la possibilité d'obtenir de longues durées de stockage, le recherche actuelle sur la création d'une mémoire quantique se concentre sur la transfert des fluctuations quantiques de la lumière sur des cohérences atomiques. Le travail réalisé durant cette thèse porte sur le développement d'une mémoire quantique pour la lumière comprimée, utilisant un ensemble d'atomes froids de Césium stock'es dans un piege magnéto-optique. Nos deux principaux objectifs étaient le développement d'une source de lumière non-classique, et le développement d'un milieu atomique pour le stockage de celle-ci. Tout d'abord, nous commençons par présenter la construction d'un oscillateur paramétrique optique qui utilise un cristal non-linéaire de PPKTP. Cet OPO fonctionne comme source d'états de vide comprime résonant avec la raie D2 du Césium. Nous caractérisons ces états grâce à une reconstruction par tomographie quantique, en utilisant une approche de vraisemblance maximale. Ensuite, nous examinons une nouvelle expérience qui nous permet d'utiliser comme milieu de stockage des atomes froids de Césium dans un piège magneto-optique récemment développé. Car cette expérience exige l'utilisation de nouveaux outils et techniques, nous discutons le développement de ceux-ci, et comment ils ont contribue à notre progression vers le stockage des états quantiques dans nos atomes des Césium, et finalement vers l'intrication de deux ensembles atomiques.
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Armstrong, Craig Keith. "Hamilton-Jacobi Theory and Superintegrable Systems." The University of Waikato, 2007. http://hdl.handle.net/10289/2340.

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Hamilton-Jacobi theory provides a powerful method for extracting the equations of motion out of some given systems in classical mechanics. On occasion it allows some systems to be solved by the method of separation of variables. If a system with n degrees of freedom has 2n - 1 constants of the motion that are polynomial in the momenta, then that system is called superintegrable. Such a system can usually be solved in multiple coordinate systems if the constants of the motion are quadratic in the momenta. All superintegrable two dimensional Hamiltonians of the form H = (p_x)sup2 + (p_y)sup2 + V(x,y), with constants that are quadratic in the momenta were classified by Kalnins et al [5], and the coordinate systems in which they separate were found. We discuss Hamilton-Jacobi theory and its development from a classical viewpoint, as well as superintegrability. We then proceed to use the theory to find equations of motion for some of the superintegrable Hamiltonians from Kalnins et al [5]. We also discuss some of the properties of the Poisson algebra of those systems, and examine the orbits.
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Bharath, Ranjeetha. "Nonlinear observer design and synchronization analysis for classical models of neural oscillators." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/83684.

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Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2013.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 37-38).
This thesis explores four nonlinear classical models of neural oscillators, the Hodgkin- Huxley model, the Fitzhugh-Nagumo model, the Morris-Lecar model, and the Hindmarsh-Rose model. Analysis techniques for nonlinear systems were used to develop a set of observers and perform synchronization analysis on the aforementioned neural systems. By using matrix analysis techniques, a study of biological background and motivation, and MATLAB simulation with mathematical computation, it was possible to do a preliminary contraction and nonlinear control systems structural study of these classical neural oscillator models. Neural oscillation and signaling models are based fundamentally on the biological function of the neuron, with behavior mediated through the channeling of ions across a cell membrane. The variable assumed to be measured for this study is the voltage or membrane potential, which could be measured empirically through the use of a neuronal force-clamp system. All other variables were estimated by using the partial state and full state observers developed here. Preliminary observer rate convergence analysis was done for the Fitzhugh-Nagumo system, and preliminary synchronization analysis was done for both the Fitzhugh-Nagumo and the Hodgkin- Huxley systems. It was found that by using a variety of techniques and mathematical matrix analyses methods (e.g. diagonal dominance or other norms), it was possible to develop a case-by-case nonlinear control systems approach to each particular system as a biomathematical entity.
by Ranjeetha Bharath.
S.B.
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Conte, Riccardo. "A dynamical approach to the calculation of thermal reaction rate constants." Doctoral thesis, Scuola Normale Superiore, 2008. http://hdl.handle.net/11384/85794.

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Jason, Peter. "Comparisons between classical and quantum mechanical nonlinear lattice models." Licentiate thesis, Linköpings universitet, Teoretisk Fysik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-105817.

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In the mid-1920s, the great Albert Einstein proposed that at extremely low temperatures, a gas of bosonic particles will enter a new phase where a large fraction of them occupy the same quantum state. This state would bring many of the peculiar features of quantum mechanics, previously reserved for small samples consisting only of a few atoms or molecules, up to a macroscopic scale. This is what we today call a Bose-Einstein condensate. It would take physicists almost 70 years to realize Einstein's idea, but in 1995 this was finally achieved. The research on Bose-Einstein condensates has since taken many directions, one of the most exciting being to study their behavior when they are placed in optical lattices generated by laser beams. This has already produced a number of fascinating results, but it has also proven to be an ideal test-ground for predictions from certain nonlinear lattice models. Because on the other hand, nonlinear science, the study of generic nonlinear phenomena, has in the last half century grown out to a research field in its own right, influencing almost all areas of science and physics. Nonlinear localization is one of these phenomena, where localized structures, such as solitons and discrete breathers, can appear even in translationally invariant systems. Another one is the (in)famous chaos, where deterministic systems can be so sensitive to perturbations that they in practice become completely unpredictable. Related to this is the study of different types of instabilities; what their behavior are and how they arise. In this thesis we compare classical and quantum mechanical nonlinear lattice models which can be applied to BECs in optical lattices, and also examine how classical nonlinear concepts, such as localization, chaos and instabilities, can be transfered to the quantum world.
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Ellis, Jason Keith. "Emergent Phenomena in Classical and Quantum Systems: Cellular Dynamics in E. coli and Spin-Polarization in Fermi Superfluids." [Kent, Ohio] : Kent State University, 2009. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=kent1256932939.

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Darling, Ryan Daniel. "Single Cell Analysis of Hippocampal Neural Ensembles during Theta-Triggered Eyeblink Classical Conditioning in the Rabbit." Miami University / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=miami1225460517.

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Zhang, Kuanshou. "Intracavity optical nonlinear devices using X(2) quasi-phase-matched material : classical and quantum properties and application to all-optical regeneration." Paris 6, 2002. http://www.theses.fr/2002PA066553.

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Books on the topic "Classical oscillator"

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Introduction to classical and quantum harmonic oscillators. New York: Wiley, 1997.

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1953-, Kurths J., and Zhou Changsong, eds. Synchronization in oscillatory networks. Berlin: Springer, 2007.

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de Sá Caetano, Elsa. Cable Vibrations in Cable-Stayed Bridges. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2007. http://dx.doi.org/10.2749/sed009.

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<p>The fifty years of experience of construction of cable-stayed bridges since their establishment as a new category among the classical types have brought an immense progress, ranging from design and conception to materials, analysis, construction, observation and retrofitting. The growing construction of cable-stayed bridges has also triggered researchers’ and designers’ attention to the problem of cable vibrations. Intensive research has been developed all over the world during the last two decades as a consequence of the numerous cases of cable vibrations exhibited by all types of cable-stayed bridges.<p>Despite the increased knowledge of the various vibration phenomena, most of the outcomes and research results have been published in journals and conference proceedings and scarce information is currently provided by the existing recommendations and codes. <p>The present book provides a comprehensive survey on the governing phenomena of cable vibration, both associated with direct action of wind and rain: buffeting, vortex-shedding, wake effects, rain-wind vibration; and resulting from the indirect excitation through anchorage oscillation: external and parametric excitation. Methodologies for assessment of the effects of those phenomena are presented and illustrated by practical examples. Control of cable vibrations is then discussed and state-of-art results on the design of passive control devices are presented. <p>The book is complemented with a series of case reports reflecting the practical approach shared by experienced designers and consultants: Yves Bournand (VSL International), Chris Geurts (TNO), Carl Hansvold (Johs. Holt), Allan Larsen (Cowi) and Randall Poston (WDP & Associates).
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Bloch, Sylvan C. Introduction to Classical and Quantum Harmonic Oscillators. Wiley & Sons, Incorporated, John, 2013.

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Bloch, S. C. Introduction to Classical and Quantum Harmonic Oscillators. Wiley & Sons, Incorporated, John, 2013.

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Kurths, Jürgen, Grigory V. Osipov, and Changsong Zhou. Synchronization in Oscillatory Networks. Springer, 2010.

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Kurths, Jürgen, Grigory V. Osipov, and Changsong Zhou. Synchronization in Oscillatory Networks (Springer Series in Synergetics). Springer, 2007.

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Tiwari, Sandip. Semiconductor Physics. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198759867.001.0001.

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A graduate-level text, Semiconductor physics: Principles, theory and nanoscale covers the central topics of the field, together with advanced topics related to the nanoscale and to quantum confinement, and integrates the understanding of important attributes that go beyond the conventional solid-state and statistical expositions. Topics include the behavior of electrons, phonons and photons; the energy and entropic foundations; bandstructures and their calculation; the behavior at surfaces and interfaces, including those of heterostructures and their heterojunctions; deep and shallow point perturbations; scattering and transport, including mesoscale behavior, using the evolution and dynamics of classical and quantum ensembles from a probabilistic viewpoint; energy transformations; light-matter interactions; the role of causality; the connections between the quantum and the macroscale that lead to linear responses and Onsager relationships; fluctuations and their connections to dissipation, noise and other attributes; stress and strain effects in semiconductors; properties of high permittivity dielectrics; and remote interaction processes. The final chapter discusses the special consequences of the principles to the variety of properties (consequences of selection rules, for example) under quantum-confined conditions and in monolayer semiconductor systems. The text also bring together short appendices discussing transform theorems integral to this study, the nature of random processes, oscillator strength, A and B coefficients and other topics important for understanding semiconductor behavior. The text brings the study of semiconductor physics to the same level as that of the advanced texts of solid state by focusing exclusively on the equilibrium and off-equilibrium behaviors important in semiconductors.
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Gill, Denise. Melancholic Modes, Healing, and Reparation. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780190495008.003.0006.

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Chapter 5 maps the way melancholy becomes lived as a reparative Turkish identity practice by musicians today. An outline is presented of five centuries of Ottoman musico-medicinal treatises on melancholy as disease and melancholic musics that aided physicians in the task of healing patients suffering from melancholy. This chapter oscillates between melancholy as affective practice and objects of melancholy—specific musical modes (makam-s) and the illness affecting one of the four bodily humors. The author exposes how contemporary Turkish classical musicians have resurrected Ottoman notions of the positive effects of melancholy after the medicalization of physiological states in the early years of the Republic of Turkey. Today, Turkish classical musicians deem melancholy a position to dwell in because it is pleasurable and connects individuals to one another.
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Goswami, B. N., and Soumi Chakravorty. Dynamics of the Indian Summer Monsoon Climate. Oxford University Press, 2017. http://dx.doi.org/10.1093/acrefore/9780190228620.013.613.

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Lifeline for about one-sixth of the world’s population in the subcontinent, the Indian summer monsoon (ISM) is an integral part of the annual cycle of the winds (reversal of winds with seasons), coupled with a strong annual cycle of precipitation (wet summer and dry winter). For over a century, high socioeconomic impacts of ISM rainfall (ISMR) in the region have driven scientists to attempt to predict the year-to-year variations of ISM rainfall. A remarkably stable phenomenon, making its appearance every year without fail, the ISM climate exhibits a rather small year-to-year variation (the standard deviation of the seasonal mean being 10% of the long-term mean), but it has proven to be an extremely challenging system to predict. Even the most skillful, sophisticated models are barely useful with skill significantly below the potential limit on predictability. Understanding what drives the mean ISM climate and its variability on different timescales is, therefore, critical to advancing skills in predicting the monsoon. A conceptual ISM model helps explain what maintains not only the mean ISM but also its variability on interannual and longer timescales.The annual ISM precipitation cycle can be described as a manifestation of the seasonal migration of the intertropical convergence zone (ITCZ) or the zonally oriented cloud (rain) band characterized by a sudden “onset.” The other important feature of ISM is the deep overturning meridional (regional Hadley circulation) that is associated with it, driven primarily by the latent heat release associated with the ISM (ITCZ) precipitation. The dynamics of the monsoon climate, therefore, is an extension of the dynamics of the ITCZ. The classical land–sea surface temperature gradient model of ISM may explain the seasonal reversal of the surface winds, but it fails to explain the onset and the deep vertical structure of the ISM circulation. While the surface temperature over land cools after the onset, reversing the north–south surface temperature gradient and making it inadequate to sustain the monsoon after onset, it is the tropospheric temperature gradient that becomes positive at the time of onset and remains strongly positive thereafter, maintaining the monsoon. The change in sign of the tropospheric temperature (TT) gradient is dynamically responsible for a symmetric instability, leading to the onset and subsequent northward progression of the ITCZ. The unified ISM model in terms of the TT gradient provides a platform to understand the drivers of ISM variability by identifying processes that affect TT in the north and the south and influence the gradient.The predictability of the seasonal mean ISM is limited by interactions of the annual cycle and higher frequency monsoon variability within the season. The monsoon intraseasonal oscillation (MISO) has a seminal role in influencing the seasonal mean and its interannual variability. While ISM climate on long timescales (e.g., multimillennium) largely follows the solar forcing, on shorter timescales the ISM variability is governed by the internal dynamics arising from ocean–atmosphere–land interactions, regional as well as remote, together with teleconnections with other climate modes. Also important is the role of anthropogenic forcing, such as the greenhouse gases and aerosols versus the natural multidecadal variability in the context of the recent six-decade long decreasing trend of ISM rainfall.
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Book chapters on the topic "Classical oscillator"

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Grozin, Andrey. "Classical Nonlinear Oscillator." In Introduction to Mathematica® for Physicists, 145–51. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00894-3_19.

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Greene, Ronald L. "The Harmonic Oscillator." In Classical Mechanics with Maple, 107–40. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-4236-9_4.

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Cushman, Richard H., and Larry M. Bates. "The harmonic oscillator." In Global Aspects of Classical Integrable Systems, 3–32. Basel: Springer Basel, 2015. http://dx.doi.org/10.1007/978-3-0348-0918-4_1.

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Cushman, Richard H., and Larry M. Bates. "The harmonic oscillator." In Global Aspects of Classical Integrable Systems, 1–36. Basel: Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8891-2_1.

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Dittrich, W., and Martin Reutera. "Linear Oscillator with Time-Dependent Frequency." In Classical and Quantum Dynamics, 227–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56430-7_21.

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Dittrich, W., and Martin Reutera. "Partition Function for the Harmonic Oscillator." In Classical and Quantum Dynamics, 281–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56430-7_26.

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Dittrich, W., and Martin Reutera. "Berry Phase and Parametric Harmonic Oscillator." In Classical and Quantum Dynamics, 357–69. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56430-7_34.

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Dittrich, Walter, and Martin Reuter. "Linear Oscillator with Time-Dependent Frequency." In Classical and Quantum Dynamics, 259–74. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36786-2_21.

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Dittrich, Walter, and Martin Reuter. "Partition Function for the Harmonic Oscillator." In Classical and Quantum Dynamics, 317–23. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36786-2_26.

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Dittrich, Walter, and Martin Reuter. "Berry Phase and Parametric Harmonic Oscillator." In Classical and Quantum Dynamics, 409–23. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36786-2_34.

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Conference papers on the topic "Classical oscillator"

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Li, Wei, Gen-xiang Chen, Xun Li, and Wei-ping Huang. "Active Mode Locking: Quantum Oscillator vs. Classical Coupled Oscillators." In 2006 IEEE International Conference on Electro/Information Technology. IEEE, 2006. http://dx.doi.org/10.1109/eit.2006.252106.

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DUBOIS, DANIEL M. "Hyperincursive Algorithms of Classical Harmonic Oscillator Applied to Quantum Harmonic Oscillator Separable Into Incursive Oscillators." In Unified Field Mechanics: Natural Science Beyond the Veil of Spacetime. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814719063_0005.

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Yuan, Jian-Min, and Mingwhei Tung. "Dissipative quantum and classical dynamics: driven molecular vibration." In International Laser Science Conference. Washington, D.C.: Optica Publishing Group, 1986. http://dx.doi.org/10.1364/ils.1986.thb4.

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We study quantum mechanical behavior of a Morse oscillator coupled to a bath of harmonic oscillators and driven by an infrared laser. The purpose is to compare quantum behavior of such a system with the classical and semiclassical solutions of a driven damped Morse oscillator. The general picture coming out of classical and semiclassical studies is that the total energy of the Morse oscillator in steady states or steady oscillations show jump and hysteretic behavior, as expected in a cusp catastrophe, when laser intensity or frequency is varied. Along with the bistable behavior we have also found period-doubling bifurcations leading to chaos on one or both branches. In the quantum treatment a generalized master equation is derived from the Liouville equation, in which the Hamiltonian of the Morse oscillator is expressed in terms of generators of an SU(2) algebra. This algebra and the Markoffian approximation allows us to derive the equation of motion of the reduced density matrix, which is solved numerically. Bistable behavior does not exist in this quantum treatment, but solutions do show jump behavior and bifurcation phenomenon. Experimental implications of these studies are also discussed.
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Rashkovskiy, S. A. "Quantum-like behavior of nonlinear classical oscillator." In QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS 6. AIP, 2012. http://dx.doi.org/10.1063/1.4773166.

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Apfel, Joseph H. "Classical oscillator dispersion model for optical coatings." In The Hague '90, 12-16 April, edited by Reinhard Herrmann. SPIE, 1990. http://dx.doi.org/10.1117/12.20368.

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Kar, Susmita, and S. P. Bhattacharyya. "Tunneling control using classical non-linear oscillator." In SOLID STATE PHYSICS: Proceedings of the 58th DAE Solid State Physics Symposium 2013. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4872931.

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Hirakawa, K. "Dispersive terahertz gain of non-classical oscillator: Bloch oscillation in semiconductor superlattices." In 2005 IEEE LEOS Annual Meeting. IEEE, 2005. http://dx.doi.org/10.1109/leos.2005.1548339.

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Audenaert, K., M. Cramer, J. Eisert, and M. B. Plenio. "Entanglement scaling in classical and quantum harmonic oscillator lattices." In QUANTUM COMPUTING: Back Action 2006. AIP, 2006. http://dx.doi.org/10.1063/1.2400881.

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Xu, Yufeng, and Om P. Agrawal. "Numerical Solutions of Generalized Oscillator Equations." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12705.

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Harmonic oscillators play a fundamental role in many areas of science and engineering, such as classical mechanics, electronics, quantum physics, and others. As a result, harmonic oscillators have been studied extensively. Classical harmonic oscillators are defined using integer order derivatives. In recent years, fractional derivatives have been used to model the behaviors of damped systems more accurately. In this paper, we use three operators called K-, A- and B-operators to define the equation of motion of an oscillator. In contrast to fractional integral and derivative operators which use fractional power kernels or their variations in their definitions, the K-, A- and B-operators allow the kernel to be arbitrary. In the case when the kernel is a power kernel, these operators reduce to fractional integral and derivative operators. Thus, they are more general than the fractional integral and derivative operators. Because of the general nature of the K-, A- and B-operators, the harmonic oscillators are called the generalized harmonic oscillators. The equations of motion of a generalized harmonic oscillator are obtained using a generalized Euler-Lagrange equation presented recently. In general, the resulting equations cannot be solved in closed form. A numerical scheme is presented to solve these equations. To verify the effectiveness of the numerical scheme, a problem is considered for which a closed form solution could be found. Numerical solution for the problem is compared with the analytical solution. It is demonstrated that the numerical scheme is convergent, and the order of convergence is 2. For a special kernel, this scheme reduces to a scheme presented recently in the literature.
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Förtsch, Michael, G. Schunk, J. U. Fürst, D. V. Strekalov, A. Aiello, U. L. Andersen, Ch Marquardt, and G. Leuchs. "Non-classical light generated in a Whispering Gallery Mode Parametric Oscillator." In International Quantum Electronics Conference. Washington, D.C.: OSA, 2011. http://dx.doi.org/10.1364/iqec.2011.i822.

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Reports on the topic "Classical oscillator"

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Glimm, Tilmann. On the Supersymmetry Group of the Classical Bose-Fermi Oscillator. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-4-2005-45-58.

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