Nonlinear Dynamics

Non-Integrable Systems and Chaotic Dynamics

Alexander B. Borisov, Vladimir V. Zverev

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English

De Gruyter
21 November 2016

Applied mathematics; Non-linear science; Classical mechanics; Mathematical physics

Series: De Gruyter Studies in Mathematical Physics

The book provides a concise and rigor introduction to the fundamentals of methods for solving the principal problems of modern non-linear dynamics. This monograph covers the basic issues of the theory of integrable systems and the theory of dynamical chaos both in nonintegrable conservative and in dissipative systems. A distinguishing feature of the material exposition is to add some comments, historical information, brief biographies and portraits of the researchers who made the most significant contribution to science. This allows one to present the material as accessible and attractive to students to acquire indepth scientific knowledge of nonlinear mechanics, feel the atmosphere where those or other important discoveries were made. The book can be used as a textbook for advanced undergraduate and graduate students majoring in high-tech industries and high technology (the science based on high technology) to help them to develop lateral thinking in early stages of training.

Contents: Nonlinear Oscillations Integrable Systems Stability of Motion and Structural Stability Chaos in Conservative Systems Chaos and Fractal Attractors in Dissipative Systems Conclusion References Index

By: Alexander B. Borisov, Vladimir V. Zverev
Imprint: De Gruyter
Country of Publication: Germany
Volume: 36
Dimensions: Height: 240mm, Width: 170mm, Spine: 20mm
Weight: 634g
ISBN: 9783110439380
ISBN 10: 3110439387
Series: De Gruyter Studies in Mathematical Physics
Pages: 299
Publication Date: 21 November 2016
Recommended Age: College Graduate Student
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

A. B. Borisov, Institute of Metal Physics, Ekaterinburg, Russia, V. V. Zverev, Ural Federal University, Ekaterinburg, Russia.

Reviews for Nonlinear Dynamics: Non-Integrable Systems and Chaotic Dynamics

The technical calculations are done in detail. The book is a helpful addition to the topics considered in nonlinear dynamics, and for a student starting out with nonlinear dynamics this could be the ideal book. W.-H. Steeb in: Mathematical Reviews Clippings 7/2017, S. 3