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Dynamical Systems Theory [PDF]
The International Journal of Communication and Linguistic Studies, 2003 The quest to ensure perfect dynamical properties and the control of different systems is currently the goal of numerous research all over the world. The aim of this book is to provide the reader with a selection of methods in the field of mathematical ...
Oscar Castillo, Patricia Melín
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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
arxiv +4 more sources
Dynamical systems theory for music dynamics [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1994 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 {\it temporal dynamics} in music. (i) Phase space portraits are constructed from
Boon, Jean Pierre, Decroly, Olivier
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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.
europepmc +5 more sources
Dynamical systems theory of cellular reprogramming
Physical Review Research, 2022 In cellular reprogramming, almost all epigenetic memories of differentiated cells are erased by the overexpression of a few genes, resulting in regaining pluripotency, the potential for differentiation.
Yuuki Matsushita +2 more
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Hopf algebras in dynamical systems theory [PDF]
International Journal of Geometric Methods in Modern Physics, 2006 The theory of exact and of approximate solutions for non-autonomous linear differential equations forms a wide field with strong ties to physics and applied problems.
Abraham R. +32 more
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An enactive and dynamical systems theory account of dyadic relationships [PDF]
Frontiers in Psychology, 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.
Miriam eKyselo, Wolfgang eTschacher
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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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Editorial Comment on the Special Issue of “Information in Dynamical Systems and Complex Systems”
Entropy, 2014 This special issue collects contributions from the participants of the “Information in Dynamical Systems and Complex Systems” workshop, which cover a wide range of important problems and new approaches that lie in the intersection of information theory ...
Erik M. Bollt, Jie Sun
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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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