The nonlinear dynamics of the damped and driven Toda chain. II: Fourier and Lyapunov analysis of tori
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Publication:2640759
DOI10.1016/0167-2789(90)90025-KzbMath0721.34050MaRDI QIDQ2640759
Karlheinz Geist, Werner Lauterborn
Publication date: 1990
Published in: Physica D (Search for Journal in Brave)
Fourier analysisperiodic boundary conditionsToda chainLyapunov diagramsquasiperiodic motions on torispectral energy bifurcation diagrams
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Trigonometric approximation (42A10) Stability of solutions to ordinary differential equations (34D20) Dynamics induced by flows and semiflows (37C10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Numerical analysis in abstract spaces (65J99)
Related Items
Dynamics of non-autonomous oscillator with a controlled phase and frequency of external forcing ⋮ Phase-locking for maps of a torus: a computer assisted study ⋮ Chaos in planar oscillations of a Toda particle ⋮ The nonlinear dynamics of the damped and driven Toda chain. III: Classification of the nonlinear resonances and local bifurcations ⋮ Chaos and hyperchaos in coupled antiphase driven Toda oscillators ⋮ Phase-locking for dynamical systems on the torus and perturbation theory for Mathieu-type problems
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