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Titlebook: Deterministic Nonlinear Systems; A Short Course Vadim S. Anishchenko,Tatyana E. Vadivasova,Galina Textbook 2014 Springer International Pub

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書目名稱Deterministic Nonlinear Systems
副標題A Short Course
編輯Vadim S. Anishchenko,Tatyana E. Vadivasova,Galina
視頻videohttp://file.papertrans.cn/270/269344/269344.mp4
概述Authored by leading researchers in the field.Concise introduction and presentation, suitable as textbook and as self-study guide.Particular emphasis on systems with self-sustained oscillations and syn
叢書名稱Springer Series in Synergetics
圖書封面Titlebook: Deterministic Nonlinear Systems; A Short Course Vadim S. Anishchenko,Tatyana E. Vadivasova,Galina  Textbook 2014 Springer International Pub
描述.This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. .This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research..
出版日期Textbook 2014
關(guān)鍵詞Anishchenko-Astakhov Oscillator; Deterministic Chaos Theory; Nonlinear Dynamics Textbook; Oscillations
版次1
doihttps://doi.org/10.1007/978-3-319-06871-8
isbn_softcover978-3-319-37852-7
isbn_ebook978-3-319-06871-8Series ISSN 0172-7389 Series E-ISSN 2198-333X
issn_series 0172-7389
copyrightSpringer International Publishing Switzerland 2014
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,Systems with Phase Space Dimension , ≥ 3: Deterministic Chaos,uilibrium states and limit cycles increases significantly, and many of them have not yet been studied. Some saddle sets become possible, such as an equilibrium state of the saddle-focus type and a saddle limit cycle. A cycle of the saddle-focus type and a saddle torus can be realized in a phase spac
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From Order to Chaos: Bifurcation Scenarios (Part I),ce of nonlinearity increases, the dynamical regime becomes more complicated. Simple attractors in the phase space of a dissipative system are replaced by more complicated ones. Under certain conditions, nonlinearity can lead to the onset of dynamical chaos. Moving along a relevant direction in the p
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Robust and Nonrobust Dynamical Systems: Classification of Attractor Types,yagin systems on the plane, there appears a class of robust systems with nontrivial hyperbolicity, i.e., systems with chaotic dynamics. Chaotic attractors of robust hyperbolic systems are, in the rigorous mathematical sense, strange attractors. They usually represent some mathematical idealization a
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Quasiperiodic Oscillator with Two Independent Frequencies,ct that they include two or more independent frequencies in the oscillation spectrum: . where ..(.) = ..., . = 1, 2, ., .. As a result, .(.) in (12.1) is 2.-periodic in each argument ..(.), but the quasiperiodic process itself is, in the general case, non-periodic, i.e., .(.) ≠ .(. + ..).
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