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Titlebook: Chaos: Concepts, Control and Constructive Use; Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky Book 20091st edition Springer-Verlag Berlin Hei

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书目名称Chaos: Concepts, Control and Constructive Use
编辑Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky
视频videohttp://file.papertrans.cn/224/223918/223918.mp4
丛书名称Understanding Complex Systems
图书封面Titlebook: Chaos: Concepts, Control and Constructive Use;  Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky Book 20091st edition Springer-Verlag Berlin Hei
描述The study of physics has changed in character, mainly due to the passage from the analyses of linear systems to the analyses of nonlinear systems. Such a change began, it goes without saying, a long time ago but the qualitative change took place and boldly evolved after the understanding of the nature of chaos in nonlinear s- tems. The importance of these systems is due to the fact that the major part of physical reality is nonlinear. Linearity appears as a result of the simpli?cation of real systems, and often, is hardly achievable during the experimental studies. In this book, we focus our attention on some general phenomena, naturally linked with nonlinearity where chaos plays a constructive part. The ?rst chapter discusses the concept of chaos. It attempts to describe the me- ing of chaos according to the current understanding of it in physics and mat- matics. The content of this chapter is essential to understand the nature of chaos and its appearance in deterministic physical systems. Using the Turing machine, we formulate the concept of complexity according to Kolmogorov. Further, we state the algorithmic theory of Kolmogorov–Martin-Lof ¨ randomness, which gives a deep under
出版日期Book 20091st edition
关键词chaos; chaos control; mechanics; reconstruction of dynamical systems; resonance; stochastic resonance; syn
版次1
doihttps://doi.org/10.1007/978-3-642-00937-2
isbn_softcover978-3-642-26922-6
isbn_ebook978-3-642-00937-2Series ISSN 1860-0832 Series E-ISSN 1860-0840
issn_series 1860-0832
copyrightSpringer-Verlag Berlin Heidelberg 2009
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Reconstruction of Dynamical Systems,rties of dynamical systems, we are actually studying attractors. In a certain sense, attractors realize the dynamical variant of the statistical principle of shortened description. Indeed, it is not necessary to study the behavior of a system in detail, starting from initial conditions, if after a t
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Controlling Chaos,es created by human hands. However, it is difficult to unambiguously answer whether chaos is useful of harmful. Chaos is beneficial when it increases the chemical reaction rate by intensifying mixing, providing a powerful mechanism for heat and mass transfer. However, in many situations chaos is an
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Synchronization of Chaotic Systems, [121], [122], [123]. Under synchronization, one usually understands the ability of coupled oscillators to switch from an independent oscillation regime, characterized by beats, to a stable coupled oscillation regime with identical or rational frequencies, when the coupling constant increases.
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Book 20091st editionh a change began, it goes without saying, a long time ago but the qualitative change took place and boldly evolved after the understanding of the nature of chaos in nonlinear s- tems. The importance of these systems is due to the fact that the major part of physical reality is nonlinear. Linearity a
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1860-0832 stems. Such a change began, it goes without saying, a long time ago but the qualitative change took place and boldly evolved after the understanding of the nature of chaos in nonlinear s- tems. The importance of these systems is due to the fact that the major part of physical reality is nonlinear. L
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