Discontinuous Dynamical Systems on Time-varying Domains

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Beschreibung

"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.



Inhalt
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.

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Produktinformationen

Titel
Discontinuous Dynamical Systems on Time-varying Domains
Autor
EAN
9783642002533
ISBN
978-3-642-00253-3
Format
E-Book (pdf)
Hersteller
Springer Berlin Heidelberg
Herausgeber
Springer
Genre
Physik, Astronomie
Veröffentlichung
06.11.2009
Digitaler Kopierschutz
Wasserzeichen
Dateigrösse
28.34 MB
Anzahl Seiten
228
Jahr
2009
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