LEADER 03529nam 2200673Ia 450 001 9910449883803321 005 20200520144314.0 010 $a1-281-87691-7 010 $a9786611876913 010 $a981-256-480-2 035 $a(CKB)1000000000033245 035 $a(EBL)234346 035 $a(OCoLC)123412909 035 $a(SSID)ssj0000111311 035 $a(PQKBManifestationID)11806616 035 $a(PQKBTitleCode)TC0000111311 035 $a(PQKBWorkID)10075068 035 $a(PQKB)10001820 035 $a(MiAaPQ)EBC234346 035 $a(WSP)00005342 035 $a(Au-PeEL)EBL234346 035 $a(CaPaEBR)ebr10085564 035 $a(CaONFJC)MIL187691 035 $a(OCoLC)61048703 035 $a(EXLCZ)991000000000033245 100 $a20050721d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBifurcation and chaos in nonsmooth mechanical systems$b[electronic resource] /$fJan Awrejcewicz, Claude-Henri Lamarque 210 $aRiver Edge, NJ $cWorld Scientific$d2003 215 $a1 online resource (564 p.) 225 1 $aWorld Scientific series on nonlinear science. Series A, Monographs and treatises ;$vv. 45 300 $aDescription based upon print version of record. 311 $a981-238-459-6 320 $aIncludes bibliographical references (p. 507-530) and index. 327 $aPreface; 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 Friction 327 $aChapter 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; Index 330 $aThis book presents the theoretical frame for studying lumped nonsmoothdynamical systems: the mathematical methods are recalled, and adaptednumerical methods are introduced (differential inclusions, maximalmonotone operators, Filippov theory, Aizerman theory, etc. 410 0$aWorld Scientific series on nonlinear science.$nSeries A,$pMonographs and treatises ;$vv. 45. 606 $aBifurcation theory 606 $aChaotic behavior in systems 606 $aDifferential equations, Nonlinear 608 $aElectronic books. 615 0$aBifurcation theory. 615 0$aChaotic behavior in systems. 615 0$aDifferential equations, Nonlinear. 676 $a515/.392 700 $aAwrejcewicz$b J$g(Jan)$059397 701 $aLamarque$b Claude-Henri$0739265 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910449883803321 996 $aBifurcation and chaos in nonsmooth mechanical systems$91464421 997 $aUNINA