کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
759109 | 896463 | 2010 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Global bifurcations and chaos in externally excited cyclic systems Global bifurcations and chaos in externally excited cyclic systems](/preview/png/759109.png)
The global bifurcations in mode interaction of a nonlinear cyclic system subjected to a harmonic excitation are investigated with the case of the primary resonance, the averaged equations representing the evolution of the amplitudes and phases of the interacting normal modes exhibit complex dynamics. The energy-phase method proposed by Haller and Wiggins is employed to analyze the global bifurcations for the cyclic system. The results obtained here indicate that there exist the Silnikov-type multi-pulse orbits homoclinic to certain invariant sets for the resonant case in both Hamiltonian and dissipative perturbations, which imply that chaotic motions occur for this class of systems. Homoclinic trees which describe the repeated bifurcations of multi-pulse solutions are found and the visualizations of these complicated structures are presented.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 15, Issue 12, December 2010, Pages 4007–4019