"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.
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