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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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发表于 2025-3-21 17:23:32 | 显示全部楼层 |阅读模式
书目名称Discontinuous Dynamical Systems on Time-varying Domains
编辑Albert C. J. Luo
视频video
概述First book on a theory of discontinuous dynamical systems on time-varying domains.Offers a fundamental theory and methodology in discontinuous dynamical systems
丛书名称Nonlinear Physical Science
图书封面Titlebook: Discontinuous Dynamical Systems on Time-varying Domains;  Albert C. J. Luo Book 2009 Springer-Verlag Berlin Heidelberg 2009 Bifurcations.Di
描述."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..
出版日期Book 2009
关键词Bifurcations; Discontinuous dynamical systems; Dynamical system; HEP; NPS; Singularity; System interaction
版次1
doihttps://doi.org/10.1007/978-3-642-00253-3
isbn_ebook978-3-642-00253-3Series ISSN 1867-8440 Series E-ISSN 1867-8459
issn_series 1867-8440
copyrightSpringer-Verlag Berlin Heidelberg 2009
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发表于 2025-3-21 23:20:22 | 显示全部楼层
Flow Switchability, discontinuous dynamical systems will be introduced to investigate singularity in discontinuous dynamical systems. Based on the .-functions, the full and half sink and source, non-passable flows to the separation boundary in the systems will be presented, and the switchability of a flow from a domai
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Two Oscillators with Impacts and Stick, chatter with stick at the moving boundary will be presented from the local singularity theory of discontinuous dynamical systems. The analytical conditions for the onset and vanishing of stick motions will be developed, and the condition for maintaining stick motion will be achieved as well. Analyt
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Dynamical Systems with Frictions,ary. For such a problem, the analytical conditions for motion switching and sliding on the time-varying boundary will be developed. Based on the time-varying boundary, the basic mappings are introduced and the mapping structures for periodic motions will be developed. From a certain mapping structur
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Albert C. J. LuoFirst book on a theory of discontinuous dynamical systems on time-varying domains.Offers a fundamental theory and methodology in discontinuous dynamical systems
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