The nonlinear dynamics of the damped and driven Toda chain. I: Energy bifurcation diagrams

DOI10.1016/0167-2789(88)90016-4zbMath0709.34045OpenAlexW1853581660MaRDI QIDQ921223

Werner Lauterborn, Karlheinz Geist

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90016-4

zbMATH Keywords

periodic boundary conditionsToda chainquasiperiodicaperiodicmotionsenergy bifurcation diagrams

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamics induced by flows and semiflows (37C10)

Related Items

Dynamics of non-autonomous oscillator with a controlled phase and frequency of external forcing, The nonlinear dynamics of the damped and driven Toda chain. II: Fourier and Lyapunov analysis of tori, IMPACT DYNAMICS OF LARGE DIMENSIONAL SYSTEMS, The nonlinear dynamics of the damped and driven Toda chain. III: Classification of the nonlinear resonances and local bifurcations, Spatio-temporal dynamics in large arrays of fluid-elastic, Toda-type oscillators, Chaos and hyperchaos in coupled antiphase driven Toda oscillators, Hopf-zero bifurcation of the ring unidirectionally coupled Toda oscillators with delay, Period-infinity periodic motions, chaos, and spatial coherence in a 10 degree of freedom impact oscillator

Cites Work

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