Chaos Suppression in a Pendulum Equation through Parametric Excitation with Phase Shift for Ultra-Subharmonic Resonance
Xianwei Chen, Xiangling Fu, Jintao Tan
Current Journal of Applied Science and Technology · pp. 1–11 · Published 17 Nov 2020
10.9734/cjast/2020/v39i3531048Abstract
Under ultra-subharmonic resonance, we investigate the chaos suppression of pendulum equation by using Melnikov methods, and get the conditions of suppressing chaos for homoclinic and heteroclinic orbits, respectively. At the same time, we give some numerical simulations including the bifurcation diagrams of system and corresponding phase diagrams, and observe that the chaos behaviors of system may be suppressed to period-n(n ∈ Z+) orbits by adjusting the value of Ψ. Although our results are only necessary, not sufficient. Numerical simulations show that our method is effect in suppressing chaos for this case.
Cited by 1
Anastasia Sofroniou, Bhairavi Premnath · WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS · 2024
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