03708nam0 2200613 i 450 VAN005922020240214022040.54978-35-403-8894-420070514d2007 |0itac50 baengDE|||| |||||Local and semi-local bifurcations in Hamiltonian dynamical systemsresults and examplesHeinz HanssmannBerlinSpringer2007XV, 237 p.24 cmPubblicazione disponibile anche in formato elettronico001VAN01022502001 Lecture notes in mathematics210 Berlin [etc.]Springer1893VAN0234538Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples257290470E20Perturbation methods for rigid body dynamics [MSC 2020]VANC019961MF34CxxQualitative theory for ordinary differential equation [MSC 2020]VANC020690MF37J20Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems [MSC 2020]VANC020694MF58K05Critical points of functions and mappings on manifolds [MSC 2020]VANC020696MF37J40Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion [MSC 2020]VANC020698MF70H33Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics [MSC 2020]VANC020700MF34D30Structural stability and analogous concepts of solutions to ordinary differential equation [MSC 2020]VANC022362MF70K30Nonlinear resonances for nonlinear problems in mechanics [MSC 2020]VANC023348MF37G10Bifurcations of singular points in dynamical systems [MSC 2020]VANC023507MF70H08Nearly integrable Hamiltonian systems, KAM theory [MSC 2020]VANC027476MF37G05Normal forms for dynamical systems [MSC 2020]VANC029109MF37J35Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests [MSC 2020]VANC029280MF70K43Quasi-periodic motions and invariant tori for nonlinear problems in mechanics [MSC 2020]VANC029373MF58K70Symmetries, equivariance on manifolds [MSC 2020]VANC029374MF37C15Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems [MSC 2020]VANC029375MFCantorKW:KDynamical systemsKW:KInvariantKW:KKAM TheoryKW:KMultiparameter bifurcationKW:KOrdinary differential equationsKW:KProofsKW:KRamified torus bundleKW:KSymmetry reductionKW:KTheoremKW:KVersal unfoldingKW:KBerlinVANL000066HanssmannHeinzVANV046895296288Springer <editore>VANV108073650ITSOL20240614RICAhttps://doi.org/10.1007/3-540-38894-Xhttps://doi.org/10.1007/3-540-38894-XBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08VAN0059220BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08PREST 37-XX 1823 08 7667 I 20070514 Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples2572904UNICAMPANIA