Sliding and transversal motions on an inclined boundary in a periodically forced discontinuous system
✍ Scribed by Albert C.J. Luo; Brandon M. Rapp
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 835 KB
- Edition
- 2009
- Volume
- 15
- Category
- Article
- ISBN-13
- 9783642002526
- ISSN
- 1007-5704
No coin nor oath required. For personal study only.
✦ Synopsis
"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.