Chaotic Dynamics of a Harmonically Excited Spring-Pendulum System with Internal Resonance

作者: Won Kyoung Lee , Hae Dong Park

DOI: 10.1023/A:1008256920441

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摘要: An investigation into chaotic responses of a weakly nonlinear multi-degree-of-freedom system is made. The specific examined harmonically excited spring pendulum system, which known to be good model for variety engineering systems, including ship motions with coupling between pitching and rolling motions. By the method multiple scales original nonautonomous reduced an approximate autonomous amplitude phase variables. shown have Hopf bifurcation sequence period-doubling bifurcations leading In order examine what happens in when exhibits chaos, we compare largest Lyapunov exponents both systems.

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