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J. Awrejcewicz
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دانلود کتاب Bifurcation and Chaos in Nonsmooth Mechanical Systems (World Scientific Series on Nonlinear Science: Series A) (v. 45)
by J. Awrejcewicz|
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عنوان فارسی: انشعاب و هرج و مرج در Nonsmooth سیستم های مکانیکی (سری جهانی علمی در علوم غیر خطی: سری A) (V 45.) |
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جزییات کتاب
This volume presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments.
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