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An Introduction to Dynamical Systems and Chaos / by G.C. Layek
版 | 1st ed. 2015. |
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出版者 | New Delhi : Springer India : Imprint: Springer |
出版年 | 2015 |
本文言語 | 英語 |
大きさ | XVIII, 622 p. 222 illus. in color : online resource |
著者標目 | *Layek, G.C author SpringerLink (Online service) |
件 名 | LCSH:Dynamical systems FREE:Dynamical Systems |
一般注記 | Continuous Dynamical Systems -- Linear Systems -- Phase Plane Analysis -- Stability Theory -- Oscillations -- Theory of Bifurcations -- Hamiltonian Systems -- Symmetry Analysis -- Discrete Dynamical Systems -- Some Maps -- Conjugacy of Maps -- Chaos -- Fractals The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1–8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9–13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonianflows and symmetries of nonlinear systems are among the main focuses of this book. Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering HTTP:URL=https://doi.org/10.1007/978-81-322-2556-0 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9788132225560 |
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EB00237779 |
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※2017年9月4日以降