Overview
- First book on a theory of discontinuous dynamical systems on time-varying domains
- Offers a fundamental theory and methodology in discontinuous dynamical systems
Part of the book series: Nonlinear Physical Science (NPS)
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Table of contents (7 chapters)
Keywords
About this book
"Discontinuous Dynamical Systems on Time-varying Domains" is the first monograph focusing on this topic. While in the classic theory of dynamical systems the focus is on dynamical systems on time-invariant domains, this book presents discontinuous dynamical systems on time-varying domains where the corresponding switchability of a flow to the time-varying boundary in discontinuous dynamical systems is discussed. From such a theory, principles of dynamical system interactions without any physical connections are presented. Several discontinuous systems on time-varying domains are analyzed in detail to show how to apply the theory to practical problems. The book can serve as a reference book for researchers, advanced undergraduate and graduate students in mathematics, physics and mechanics.
Dr. Albert C. J. Luo is a professor at Southern Illinois University Edwardsville, USA. His research is involved in the nonlinear theory of dynamical systems. His main contributions are in the following aspects: a stochastic and resonant layer theory in nonlinear Hamiltonian systems, singularity on discontinuous dynamical systems, and approximate nonlinear theories for a deformable-body.
Authors and Affiliations
Bibliographic Information
Book Title: Discontinuous Dynamical Systems on Time-varying Domains
Authors: Albert C. J. Luo
Series Title: Nonlinear Physical Science
DOI: https://doi.org/10.1007/978-3-642-00253-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Hardcover ISBN: 978-3-642-00252-6Published: 13 August 2009
eBook ISBN: 978-3-642-00253-3Published: 06 November 2009
Series ISSN: 1867-8440
Series E-ISSN: 1867-8459
Edition Number: 1
Number of Pages: XI, 228
Additional Information: Jointly published with Higher Education Press
Topics: Classical and Continuum Physics, Dynamical Systems and Ergodic Theory, Theoretical and Applied Mechanics