04642nam 2200697 450 00001266920050718115500.03-540-54512-320030429d1991----km-y0itay0103----baengDEPeriodic solutions of nonlinear dynamical systemsnumerical computation, stability, bifurcation and transition to chaosEduard ReithmeierBerlin [etc.]Springerc1991VI, 171 p.ill.25 cm.Lecture notes in mathematics14832001Lecture notes in mathematicsEquazioni differenziali non lineariSoluzioni numericheSistemi dinamici515.355(21. ed.)Analisi. Equazioni differenziali non lineari34B15Ordinary differential equations. Nonlinear boundary value problems34C15Ordinary differential equations. Qualitative theory. Nonlinear oscillations, coupled oscillators34C25Ordinary differential equations. Qualitative theory. Periodic solutions34DxxOrdinary differential equations. Stability theory37C75Dynamical systems and ergodic theory. Smooth dynamical systems: general theory. Stability theory37D99Dynamical systems and ergodic theory. Dynamical systems with hyperbolic behavior37E99Dynamical systems and ergodic theory. Low-dimensional dynamical systems37H20Dynamical systems and ergodic theory. Random dynamical systems. Bifurcation theory37J25Dynamical systems and ergodic theory. Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems. Stability problems37K45Dynamical systems and ergodic theory. Infinite-dimensional Hamiltonian systems. Stability problems37L15Dynamical systems and ergodic theory. Infinite-dimensional dissipative dynamical systems. Stability problems34C23Ordinary differential equations. Qualitative theory. Bifurcation34K18Ordinary differential equations. Functional-differential and differential-difference equations, with or without deviating arguments. Bifurcation theory35B32Partial differential equations. Qualitative properties of solutions. Bifurcation37GxxDynamical systems and ergodic theory. Local and nonlocal bifurcation theory37J20Dynamical systems and ergodic theory. Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems. Bifurcation problems37K50Dynamical systems and ergodic theory. Infinite-dimensional Hamiltonian systems. Bifurcation problems37L10Dynamical systems and ergodic theory. Infinite-dimensional dissipative dynamical systems. Normal forms, center manifold theory, bifurcation theory37M20Dynamical systems and ergodic theory. Approximation methods and numerical treatment of dynamical systems. Computational methods for bifurcation problems70K50Mechanics of particles and systems. Nonlinear dynamics. Bifurcations and instability34C05Ordinary differential equations. Qualitative theory. Location of integral curves, singular points, limit cycles37C25Dynamical systems and ergodic theory. Smooth dynamical systems: general theory. Fixed points, periodic points, fixed-points index theory37C27Dynamical systems and ergodic theory. Smooth dynamical systems: general theory. Periodic orbits of vector fields and flows37G15Dynamical systems and ergodic theory. Local and nonlocal bifurcation theory. Bifurcations of limit cycles and periodic orbits70K05Mechanics of particles and systems. Nonlinear dynamics. Phase plane analysis, limit cyclesReithmeier,Eduard59911ITUniversità della Basilicata - B.I.A.RICAunimarc000012669Periodic solutions of nonlinear dynamical systems78639UNIBASMONSCISCIENZEEXT0030120030429BAS011222EXT0030120030429BAS011222EXT0030120030508BAS01175820050601BAS011755batch0120050718BAS01105120050718BAS01111020050718BAS01114020050718BAS011155BAS01BAS01BOOKBASA5Dipartimento MatematicaGENCollezione generaleMAT879M8792003042951Riservati