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Chaos control in a special pendulum system for ultra-subharmonic resonance
2017
Discrete and continuous dynamical systems. Series B
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In this paper, we study the chaos control of pendulum system with vibration of suspension axis for ultra-subharmonic resonance by using Melnikov methods, and give a necessary condition for controlling heteroclinic chaos and homoclinic chaos, respectively. We give some bifurcation diagrams by numerical simulations, which indicate that the chaos behaviors for ultra-subharmonic resonance may be inhibited to periodic orbits by adjusting phase-difference of parametric excitation, and prove that
doi:10.3934/dcdsb.2020144
fatcat:x6gamy7lqbe2hgloenocwxqdqi