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Titlebook: Discontinuous Dynamical Systems on Time-varying Domains; Albert C. J. Luo Book 2009 Springer-Verlag Berlin Heidelberg 2009 Bifurcations.Di

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Discontinuous Dynamical Systems on Time-varying Domains
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1867-8440 resonant layer theory in nonlinear Hamiltonian systems, singularity on discontinuous dynamical systems, and approximate nonlinear theories for a deformable-body..978-3-642-00253-3Series ISSN 1867-8440 Series E-ISSN 1867-8459
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1867-8440 us dynamical systems."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-varyi
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https://doi.org/10.1007/978-1-4684-5541-0pping structure. The corresponding local stability and bifurcation analyses will be completed, and the grazing and stick conditions will be adopted for the existence of periodic motions. Numerical simulations will be given to illustrate periodic impacting chatters and stick in two oscillators.
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Steroid Receptors in Health and Disease To understand the singularity and switchability of motions to the time-varying boundary in such a two-mass system, illustrations of periodic motions will be given from analytical predictions. The relative forces will be presented for illustration of the analytical conditions.
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A Frictional Oscillator on Time-varying Belt,furcations will be discussed for appearance and vanishing of regular motions in such an oscillator. Parameter maps for specific periodic motions will be obtained through mapping structures. The displacement, velocity and force responses of periodic motions will be presented to illustrate the analytical conditions of stick and non-stick motions.
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