Discontinuous Dynamical Systems on Time-varying Domains

• Κύριος συγγραφέας: Luo, Albert C. J. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Nonlinear Physical Science,
• Θέματα: Physics.; Dynamics.; Ergodic theory.; Continuum physics.; Mechanics.; Mechanics, Applied.; Classical Continuum Physics.; Dynamical Systems and Ergodic Theory.; Theoretical and Applied Mechanics.

 "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.