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Titlebook: Chaos in Electronics; M. A. Wyk,W.-H Steeb Book 1997 Springer Science+Business Media B.V. 1997 MatLab.chaos.circuit.electronic circuit.ele

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发表于 2025-3-21 16:40:39 | 显示全部楼层 |阅读模式
书目名称Chaos in Electronics
编辑M. A. Wyk,W.-H Steeb
视频video
丛书名称Mathematical Modelling: Theory and Applications
图书封面Titlebook: Chaos in Electronics;  M. A. Wyk,W.-H Steeb Book 1997 Springer Science+Business Media B.V. 1997 MatLab.chaos.circuit.electronic circuit.ele
描述Many dynamical systems in physics, chemistry and biology exhibit complex be­ haviour. The apparently random motion of a fluid is the best known example. How­ ever also vibrating structures, electronic oscillators, magnetic devices,lasers, chemical oscillators, and population kinetics can behave in a complicated manner. One can find irregular oscillations, which is now known as chaotic behaviour. The research field of nonlinear dynamical systems and especially the study of chaotic systems has been hailed as one of the important breaktroughs in science this century. The sim­ plest realization of a system with chaotic behaviour is an electronic oscillator. The purpose of this book is to provide a comprehensive introduction to the application of chaos theory to electronic systems. The book provides both the theoretical and experimental foundations of this research field. Each electronic circuit is described in detail together with its mathematical model. Controlling chaos of electronic oscilla­ tors is also included. End of proofs and examples are indicated by •. Inside examples the end of proofs are indicated with O. We wish to express our gratitude to Catharine Thompson for a critica
出版日期Book 1997
关键词MatLab; chaos; circuit; electronic circuit; electronics; micro-alloy transistor
版次1
doihttps://doi.org/10.1007/978-94-015-8921-5
isbn_softcover978-90-481-4857-8
isbn_ebook978-94-015-8921-5Series ISSN 1386-2960
issn_series 1386-2960
copyrightSpringer Science+Business Media B.V. 1997
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发表于 2025-3-22 00:09:58 | 显示全部楼层
M. P. Dobhal,V. Gupta,M. D. Lechner,R. Gupta if it exhibits sensitive dependence on initial conditions and has an infinite number of different periodic responses. If, for a system, the state space trajectories originating from two closely spaced initial conditions diverge exponentially, locally speaking, then we say the system exhibits sensitive dependence on initial conditions.
发表于 2025-3-22 03:21:29 | 显示全部楼层
Introduction, if it exhibits sensitive dependence on initial conditions and has an infinite number of different periodic responses. If, for a system, the state space trajectories originating from two closely spaced initial conditions diverge exponentially, locally speaking, then we say the system exhibits sensitive dependence on initial conditions.
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M. P. Dobhal,V. Gupta,M. D. Lechner,R. Guptat we call the craze, when everybody went searching for chaos in their fields of research. On discovery of chaos in their respective fields of interest, they published their observations. Only recently has chaos research begun to enter its fourth phase, in which researchers attempt to apply chaos in order to solve practical problems.
发表于 2025-3-22 17:49:17 | 显示全部楼层
Controlling Chaos,his collaborators, it is of fundamental importance to preserve the structure of the chaotic attractor, since, in essence this preserves the dynamical characteristics of the system, meaning amongst other things that the result of the control effort is known: a periodic trajectory on the chaotic attractor.
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https://doi.org/10.1007/978-3-662-47224-8iki’s circuit is a modified Van der Pol oscillator. It was originally presented by Shinriki, Yamamoto and Mori as a circuit which exhibits a type of random waveform (see [728]). It is studied here mainly for Hopf bifurcations. Thereafter we give numerical results obtained by Freire . in [259] which show that Shinriki’s circuit exhibits chaos.
发表于 2025-3-23 06:28:34 | 显示全部楼层
Autonomous Systems in Electronics,iki’s circuit is a modified Van der Pol oscillator. It was originally presented by Shinriki, Yamamoto and Mori as a circuit which exhibits a type of random waveform (see [728]). It is studied here mainly for Hopf bifurcations. Thereafter we give numerical results obtained by Freire . in [259] which show that Shinriki’s circuit exhibits chaos.
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