02461nmm a2200325 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002200139245010600161250001700267260006300284300003100347505022700378653002300605653003600628653002200664653002600686653001200712653002200724041001900746989003600765490003100801028003000832856007200862082000800934520119300942EB000381818EBX0100000000000000023487000000000000000.0cr|||||||||||||||||||||130626 ||| eng a97836420025331 aLuo, Albert C. J.00aDiscontinuous Dynamical Systems on Time-varying DomainshElektronische Ressourcecby Albert C. J. Luo a1st ed. 2009 aBerlin, HeidelbergbSpringer Berlin Heidelbergc2009, 2009 aXI, 228 pbonline resource0 aFlow 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 aMechanics, Applied aClassical and Continuum Physics aDynamical Systems aEngineering Mechanics aPhysics aDynamical systems07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aNonlinear Physical Science50a10.1007/978-3-642-00253-340uhttps://doi.org/10.1007/978-3-642-00253-3?nosfx=yxVerlag3Volltext0 a530 a"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