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Titlebook: Bifurcation and Chaos in Discontinuous and Continuous Systems; Michal Fečkan Book 2011 Springer-Verlag Berlin Heidelberg 2011 HEP.NPS.anal

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发表于 2025-3-21 20:01:20 | 显示全部楼层 |阅读模式
期刊全称Bifurcation and Chaos in Discontinuous and Continuous Systems
影响因子2023Michal Fečkan
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发行地址Comprehensive theory of chaos in nonlinear dynamical systems with applications to mechanics and vibrations.Precise and complete proofs of derived results.Many stimulating and illustrative examples.Rig
学科分类Nonlinear Physical Science
图书封面Titlebook: Bifurcation and Chaos in Discontinuous and Continuous Systems;  Michal Fečkan Book 2011 Springer-Verlag Berlin Heidelberg 2011 HEP.NPS.anal
影响因子."Bifurcation and Chaos in Discontinuous and Continuous Systems" provides rigorous mathematical functional-analytical tools for handling chaotic bifurcations along with precise and complete proofs together with concrete applications presented by many stimulating and illustrating examples. A broad variety of nonlinear problems are studied involving difference equations, ordinary and partial differential equations, differential equations with impulses, piecewise smooth differential equations, differential and difference inclusions, and differential equations on infinite lattices as well..This book is intended for mathematicians, physicists, theoretically inclined engineers and postgraduate students either studying oscillations of nonlinear mechanical systems or investigating vibrations of strings and beams, and electrical circuits by applying the modern theory of bifurcation methods in dynamical systems..Dr. Michal Fečkan is a Professor at the Department of Mathematical Analysis and Numerical Mathematics on the Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovakia. He is working on nonlinear functional analysis, bifurcation theory and dyna
Pindex Book 2011
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Michal FečkanComprehensive theory of chaos in nonlinear dynamical systems with applications to mechanics and vibrations.Precise and complete proofs of derived results.Many stimulating and illustrative examples.Rig
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Person, Personal Identity, and PersonalityThis chapter is devoted to functional analytical methods for showing chaos in discrete dynamical systems involving difference equations, diffeomorphisms, regular and singular ODEs with impulses, and inflated mappings as well.
发表于 2025-3-22 21:33:37 | 显示全部楼层
Ethics of Science and Technology AssessmentFunctional analytical methods are presented in this chapter to predict chaos for periodically forced PDEs modeling vibrations of beams and depend on parameters.
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Neurotransplantation and Gene TransferThis chapter is devoted to proving chaos for periodically perturbed piecewise smooth ODEs. We study two cases: firstly, when the homoclinic orbit of the unperturbed piecewise smooth ODE transversally crosses the discontinuity surface, and secondly, when a part of homoclinic orbit is sliding on the discontinuity surface.
发表于 2025-3-23 06:49:04 | 显示全部楼层
Preliminary Results,In this chapter, we recall some known mathematical notations, notions and results which will be used later to help readers to understand this book better. For more details, we refer readers to quoted textbooks of nonlinear functional analysis, differential topology, singularities of smooth maps, complex analysis and dynamical systems.
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