03529nam 2200673Ia 450 991044988380332120200520144314.01-281-87691-79786611876913981-256-480-2(CKB)1000000000033245(EBL)234346(OCoLC)123412909(SSID)ssj0000111311(PQKBManifestationID)11806616(PQKBTitleCode)TC0000111311(PQKBWorkID)10075068(PQKB)10001820(MiAaPQ)EBC234346(WSP)00005342(Au-PeEL)EBL234346(CaPaEBR)ebr10085564(CaONFJC)MIL187691(OCoLC)61048703(EXLCZ)99100000000003324520050721d2003 uy 0engur|n|---|||||txtccrBifurcation and chaos in nonsmooth mechanical systems[electronic resource] /Jan Awrejcewicz, Claude-Henri LamarqueRiver Edge, NJ World Scientific20031 online resource (564 p.)World Scientific series on nonlinear science. Series A, Monographs and treatises ;v. 45Description based upon print version of record.981-238-459-6 Includes bibliographical references (p. 507-530) and index.Preface; Contents; Chapter 1 Introduction to Discontinuous ODEs; Chapter 2 Mathematical Background for Multivalued Formulations; Chapter 3 Numerical Schemes and Analytical Methods; Chapter 4 Properties of Numerical Schemes; Chapter 5 Bifurcations of a Particular van der Pol-Duffing Oscillator; Chapter 6 Stick-Slip Oscillator with Two Degrees of Freedom; Chapter 7 Piecewise Linear Approximations; Chapter 8 Chua's Circuit with Discontinuities; Chapter 9 Mechanical System with Impacts and Modal Approaches; Chapter 10 One DOF Mechanical System with FrictionChapter 11 Modelling the Dynamical Behaviour of Elasto-Plastic SystemsChapter 12 A Mechanical System with 7 DOF; Chapter 13 Stability of Singular Periodic Motions in Single Degree of Freedom Vibro-Impact Oscillators and Grazing...; Chapter 14 Triple Pendulum with Impacts; Chapter 15 Analytical Prediction of Stick-Slip Chaos; Chapter 16 Thermoelasticity, Wear and Stick-Slip Movements of a Rotating Shaft with a Rigid Bush; Chapter 17 Control for Discrete Models of Buildings Including Elastoplastic Terms; Bibliography; IndexThis book presents the theoretical frame for studying lumped nonsmoothdynamical systems: the mathematical methods are recalled, and adaptednumerical methods are introduced (differential inclusions, maximalmonotone operators, Filippov theory, Aizerman theory, etc.World Scientific series on nonlinear science.Series A,Monographs and treatises ;v. 45.Bifurcation theoryChaotic behavior in systemsDifferential equations, NonlinearElectronic books.Bifurcation theory.Chaotic behavior in systems.Differential equations, Nonlinear.515/.392Awrejcewicz J(Jan)59397Lamarque Claude-Henri739265MiAaPQMiAaPQMiAaPQBOOK9910449883803321Bifurcation and chaos in nonsmooth mechanical systems1464421UNINA