Overview
- Illustrates new concepts and methodology in discontinuous dynamical systems
- Uses different ideas to describe complicated dynamical systems in real worlds
- Discusses the mechanism of chaos and diffusion in impulsive systems
- Discusses strange attractor fragmentation and hidden mathematical structures
- Contains intuitive illustrations and systematical description
- Has complete example demonstrations
- Includes supplementary material: sn.pub/extras
Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 1)
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About this book
Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive, discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually, the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.
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Table of contents (6 chapters)
Reviews
From the reviews:
“The aim of this book is to provide a basis and a survey of the main topics the author’s research is devoted to. … The first and second chapters of the book contain the nonlinear counterpart of the theory for continuous and discrete dynamical systems. … These two first chapters together with the two appendices conform a textbook for an undergraduate student.” (Maite Grau, Zentralblatt MATH, Vol. 1253, 2013)
Authors and Affiliations
Bibliographic Information
Book Title: Regularity and Complexity in Dynamical Systems
Authors: Albert C. J. Luo
Series Title: Nonlinear Systems and Complexity
DOI: https://doi.org/10.1007/978-1-4614-1524-4
Publisher: Springer New York, NY
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media, LLC 2012
Hardcover ISBN: 978-1-4614-1523-7Published: 21 December 2011
Softcover ISBN: 978-1-4614-6168-5Published: 31 January 2013
eBook ISBN: 978-1-4614-1524-4Published: 21 December 2011
Series ISSN: 2195-9994
Series E-ISSN: 2196-0003
Edition Number: 1
Number of Pages: XI, 497
Number of Illustrations: 196 b/w illustrations
Topics: Mathematical and Computational Engineering, Complex Systems, Numerical and Computational Physics, Simulation, Applications of Nonlinear Dynamics and Chaos Theory