Chaos and geometrical resonance in the damped pendulum subjected to periodic pulses

DOI10.1063/1.531816zbMath0874.70017OpenAlexW1989623046MaRDI QIDQ4339568

Ricardo Chacón

Publication date: 9 November 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531816

zbMATH Keywords

homoclinic chaosMelnikov's analysisinfinite period drivingperiodic string of pulses

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Effects of random excitations on the dynamical response of Duffing systems ⋮ Asymptotic analysis of resonances in nonlinear vibrations of the 3-dof pendulum ⋮ Nonlinear Lorentzian-type standing wave solutions of ac-driven sine-Gordon equation ⋮ Resonance Phenomena in Bistable Systems ⋮ Chaotic behavior in a dissipative non-ideal periodically kicked rotator ⋮ Pattern control and suppression of spatiotemporal chaos using geometrical resonance ⋮ CONSTANT-PHASE-INDUCED CONTROL OF CHAOTIC CHARGED PARTICLES IN THE FIELD OF A WAVE PACKET

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