Discontinuous Dynamical Systems on Time-varying Domains
Springer Berlin (Verlag)
978-3-642-00252-6 (ISBN)
"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.
Flow Switchability.- Transversality and Sliding Phenomena.- A Frictional Oscillator on Time-varying Belt.- Two Oscillators with Impacts and Stick.- Dynamical Systems with Frictions.- Principles for System Interactions.
| Erscheint lt. Verlag | 13.8.2009 |
|---|---|
| Reihe/Serie | Nonlinear Physical Science |
| Zusatzinfo | XI, 228 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Technik ► Maschinenbau | |
| Schlagworte | Bifurcations • Discontinuous dynamical systems • Dynamical system • Friction • HEP • Mechanics • Nonlinear Dynamics • NPS • Singularity • System interactions |
| ISBN-10 | 3-642-00252-8 / 3642002528 |
| ISBN-13 | 978-3-642-00252-6 / 9783642002526 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
aus dem Bereich
