%0 eBook
%M Solr-EB000381818
%A Luo, Albert C. J.
%I Springer Berlin Heidelberg
%D 2009
%C Berlin, Heidelberg
%G English
%B Nonlinear Physical Science
%@ 9783642002533
%T Discontinuous Dynamical Systems on Time-varying Domains
%U https://doi.org/10.1007/978-3-642-00253-3?nosfx=y
%7 1st ed. 2009
%X "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