Sun Jian-hua. Periodic Solution and Chaotic Behavior of a Class of Nonautonomic Pendulum Systems with Large Damping[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1129-1137.
Citation: Sun Jian-hua. Periodic Solution and Chaotic Behavior of a Class of Nonautonomic Pendulum Systems with Large Damping[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1129-1137.

Periodic Solution and Chaotic Behavior of a Class of Nonautonomic Pendulum Systems with Large Damping

  • Received Date: 1987-08-04
  • Publish Date: 1988-12-15
  • In this paper the existence and uniqueness of the periodic solution is studied for a class of second order nonautonomic pendulum systems and the parameter regions tor which the system in chaos is myestigated when φ(t)=1-ελcosωt,F(t)=β+εμ(cosωt-ωsinωt) and the tamping coefficient a>0 is large. The result obtained generalize the corresponding conclusions of papers [1-8].
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    Lasalle. J.I. and S, Lefsechetz, Stability by Lyapunov's Direct Method with Application. New York, Academic Press (1961).
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