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An Introduction to Dynamical Systems and Chaos

Authors: Layek, G.C.

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  • Presents a comprehensive overview of nonlinear dynamics
    Discusses continuous and discrete systems by using a systematic, sequential, and logical approach 
    Presents numerous solved examples with physical explanations of oscillations, bifurcations, and Lie symmetry analysis of nonlinear systems
    Explains conjugacy, chaos, and fractals in detail
    Is useful to students of mathematics, physics, and engineering

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  • ISBN 978-81-322-2556-0
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Hardcover $109.99
price for USA in USD
  • ISBN 978-81-322-2555-3
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  • Immediate ebook access, if available*, with your print order
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Softcover $109.99
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  • ISBN 978-81-322-3794-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

G. C. LAYEK is professor at the Department of Mathematics, The University of Burdwan, India. He obtained his PhD degree from Indian Institute of Technology Kharagpur and did his postdoctoral studies at Indian Statistical Institute, Kolkata. His areas of research are theoretical fluid dynamics of viscous fluid, fluid turbulence and chaotic systems. Professor Layek has published several research papers in international journals of repute and has visited several international universities including Saint Petersburg State University, Kazan State Technological University, Russia, for collaborative research work and teaching.

Reviews

“The text is a strong and rigorous treatment of the introduction of dynamical systems … . The exercises presented at the end of each chapter are suitable for upper-level undergraduates and graduate students. As a reference source, the text is very well-organized with its division of the subject into continuous and discrete dynamical systems. Summing Up: Recommended. Upper-division undergraduates through professionals and practitioners.” (M. D. Sanford, Choice, Vol. 54 (2), October, 2016)

This textbook provides a clear presentation of many standard topics in dynamical systems. Overall, the book is well written in a clear logical manner. The chapter titles precisely indicate the topics covered by the author. These are…..  

 

s="" are="" used="" in="" study="" of="" continuous="" discrete="" dynamical="" systems.="" due="" to="" combination="" a="" careful="" development="" theory,="" many="" worked="" example="" problems,="" variety="" applications,="" well-chosen="" exercises, An introduction to dynamical systems and chaos is very well suited as either a course text or for self-study by students. The book could also serve as a nice supplement to many of the other standard texts on dynamical systems.


Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-81-322-2556-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-81-322-2555-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-81-322-3794-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Dynamical Systems and Chaos
Authors
Copyright
2015
Publisher
Springer India
Copyright Holder
Springer Nature India Private Limited
eBook ISBN
978-81-322-2556-0
DOI
10.1007/978-81-322-2556-0
Hardcover ISBN
978-81-322-2555-3
Softcover ISBN
978-81-322-3794-5
Edition Number
1
Number of Pages
XVIII, 622
Number of Illustrations
222 illustrations in colour
Topics

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