Overview
- First book developing an energy flow theory to investigate nonlinear dynamical systems governed by vector field equations in phase space
- Presents a set of generalized equations in phase space describing nonlinear phenomena met in various sciences and engineering fields
- Provides many applications and Matlab examples describing interesting nonlinear systems, such as Van der Pol’s system, Duffing’s equation, Lorenz system, Rossler system, SD oscillator
Part of the book series: Emergence, Complexity and Computation (ECC, volume 17)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields. Important nonlinear phenomena such as, stabilities, periodical orbits, bifurcations and chaos are tack-led and the corresponding energy flow behaviors are revealed using the proposed energy flow approach. As examples, the common interested nonlinear dynamical systems, such as, Duffing’s oscillator, Van der Pol’s equation, Lorenz attractor, Rössler one and SD oscillator, etc, are discussed. This monograph lights a new energy flow research direction for nonlinear dynamics. A generalised Matlab code with User Manuel is provided for readers to conduct the energy flow analysis of their nonlinear dynamical systems. Throughout the monograph the author continuously returns to some examples in each chapter to illustrate the applications of the discussed theory and approaches. The book can be used as an undergraduate or graduate textbook or a comprehensive source for scientists, researchers and engineers, providing the statement of the art on energy flow or power flow theory and methods.
Authors and Affiliations
Bibliographic Information
Book Title: Energy Flow Theory of Nonlinear Dynamical Systems with Applications
Authors: Jing Tang Xing
Series Title: Emergence, Complexity and Computation
DOI: https://doi.org/10.1007/978-3-319-17741-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-17740-3Published: 10 June 2015
Softcover ISBN: 978-3-319-36834-4Published: 29 October 2016
eBook ISBN: 978-3-319-17741-0Published: 28 May 2015
Series ISSN: 2194-7287
Series E-ISSN: 2194-7295
Edition Number: 1
Number of Pages: XVI, 299
Number of Illustrations: 65 b/w illustrations
Topics: Complexity, Complex Systems, Applications of Nonlinear Dynamics and Chaos Theory, Thermodynamics