Overview
- The first monograph to discuss the implicit mapping dynamics of periodic flows to chaos
- Provides both explicit and implicit discrete maps of continuous systems
- Discusses the implicit dynamics of period-m solutions in discrete nonlinear systems
- Offers a way to find periodic flows to chaos in nonlinear systems with and without time-delay
- Presents the discrete Fourier series of discrete nodes of periodic motion
- Includes supplementary material: sn.pub/extras
Part of the book series: Nonlinear Physical Science (NPS)
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Table of contents(6 chapters)
About this book
Authors and Affiliations
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Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, USA
Albert C. J. Luo
About the author
Bibliographic Information
Book Title: Discretization and Implicit Mapping Dynamics
Authors: Albert C. J. Luo
Series Title: Nonlinear Physical Science
DOI: https://doi.org/10.1007/978-3-662-47275-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE, part of Springer Nature 2015
Hardcover ISBN: 978-3-662-47274-3Published: 13 August 2015
Softcover ISBN: 978-3-662-51709-3Published: 23 October 2016
eBook ISBN: 978-3-662-47275-0Published: 30 July 2015
Series ISSN: 1867-8440
Series E-ISSN: 1867-8459
Edition Number: 1
Number of Pages: X, 310
Number of Illustrations: 20 b/w illustrations, 26 illustrations in colour
Additional Information: Jointly published with Higher Education Press, Beijing, China
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Difference and Functional Equations, Vibration, Dynamical Systems, Control