Discontinuous Dynamical Systems on Time-varying Domains

"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...

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מחבר ראשי: Luo, Albert C. J., 1964-
פורמט: Livre numérique
שפה:Anglais
יצא לאור: Berlin, Heidelberg : Springer Berlin Heidelberg 2009.
Cham : Springer Nature
סדרה:Nonlinear Physical Science
גישה מקוונת:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
Accès INSA CVL
הערה: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Discontinuous dynamical systems on time-varying domains, Albert C. J. Luo, Beijing, Higher Education Press, Springer, 2009, 1 vol. (XI-222 p.-4 p. de pl. en coul.), Nonlinear physical science, 978-3-642-00252-6
• Discontinuous Dynamical Systems on Time-varying Domains, Texte imprimé, 9783642010262
• Discontinuous Dynamical Systems on Time-varying Domains, Texte imprimé, 9783642269080
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505 0 |a 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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520 |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 
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