An Introduction to Dynamical Systems and Chaos PDF
By:G.C. Layek
Published on 2015-12-01 by Springer
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, Hamiltonian flows 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.
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Book ID of An Introduction to Dynamical Systems and Chaos's Books is wfcUCwAAQBAJ, Book which was written byG.C. Layekhave ETAG "ipyCg2o2f/Y"
Book which was published by Springer since 2015-12-01 have ISBNs, ISBN 13 Code is 9788132225560 and ISBN 10 Code is 8132225562
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Book which have "622 Pages" is Printed at BOOK under CategoryMathematics
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