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Dynamical Systems Theory [PDF]
The International Journal of Communication and Linguistic Studies, 2001 This chapter introduces the basic concepts of dynamical systems theory, and several basic mathematical methods for controlling chaos. The main goal of this chapter is to provide an introduction to and a summary to the theory of dynamical systems with particular emphasis on fractal theory, chaos theory, and chaos control.
Oscar Castillo, Patricia Melin
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Spectral Theory of Dynamical Systems [PDF]
arXiv, 2020 This is a survey on spectral theory of dynamical systems.
Mariusz Lemańczyk, Adam Kanigowski
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Dynamical systems theory for music dynamics [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1995 We show that, when music pieces are cast in the form of time series of pitch variations, the concepts and tools of dynamical systems theory can be applied to the analysis of temporal dynamics in music. (i) Phase space portraits are constructed from the time series wherefrom the dimensionality is evaluated as a measure of the global dynamics of each ...
Boon, Jean-Pierre, Decroly, O.
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Dynamical systems theory of cellular reprogramming
Physical Review Research, 2022 15 pages, 12 ...
Yuuki Matsushita +2 more
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Dynamical systems theory in physiology. [PDF]
J Gen Physiol, 2011 Readers of the current issue will find something unfamiliar, perhaps tantalizing, perhaps unsettling. I am referring to the articles by Cha et al. (see [“Ionic mechanisms and Ca2+ dynamics…”][1] and [“Time-dependent changes in membrane excitability…”][2]).
Sherman A.
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Vector dissipativity theory for discrete-time large-scale nonlinear dynamical systems [PDF]
Advances in Difference Equations, 2004 In analyzing large-scale systems, it is often desirable to treat the overall system as a collection of interconnected subsystems. Solution properties of the large-scale system are then deduced from the solution properties of the individual subsystems and
Sergey Nersesov +3 more
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An enactive and dynamical systems theory account of dyadic relationships. [PDF]
Front Psychol, 2014 Many social relationships are a locus of struggle and suffering, either at the individual or interactional level. In this paper we explore why this is the case and suggest a modeling approach for dyadic interactions and the well-being of the participants.
Kyselo M, Tschacher W.
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Perturbation theory of dynamical systems [PDF]
, 2001 This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Summer term 2001, to undergraduate Mathematics and Physics students. It covers a few selected topics from perturbation theory at an introductory level. Only certain results are proved, and for some of the most important theorems, sketches of the proofs are ...
Nils Berglund
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A Case Study of Combined Application of Smart Materials in a Thermal Energy Harvester with Vibrating Action [PDF]
Journal of Applied and Computational Mechanics, 2021 This paper demonstrates a case study of a combined application of smart materials in a thermal energy harvester with vibrating action. The conceptual design of the harvester is based on a Shape Memory Alloy wire attached to the free end of a ...
Rosen Mitrev +4 more
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Category of Discrete Dynamical System
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 A dynamical system is a method that can describe the process, behavior, and complexity of a system. In general, a dynamical system consists of a discrete dynamical system and a continuous dynamical system.
Ananda Ayu Permatasari +2 more
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