Subharmonic bifurcations and chaotic dynamics are investigated both analytically and numerically for a class of ship power system. Chaos arising from heteroclinic intersections is studied with the Melnikov method. The critical curves separating the chaotic and nonchaotic regions are obtained. The chaotic feature on the system parameters is discussed in detail. It is shown that there exist chaotic bands for this system. The conditions for subharmonic bifurcations with O type or R type are also obtained. It is proved that the system can be chaotically excited through finite subharmonic bifurcations with O type, and it also can be chaotically excited through infinite subharmonic bifurcations with R type. Some new dynamical phenomena are presented. Numerical simulations are given, which verify the analytical results.
Subharmonic Bifurcations and Chaotic Dynamics for a Class of Ship Power System
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 13, 2017; final manuscript received January 9, 2018; published online February 1, 2018. Assoc. Editor: Bogdan I. Epureanu.
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Zhou, L., and Chen, F. (February 1, 2018). "Subharmonic Bifurcations and Chaotic Dynamics for a Class of Ship Power System." ASME. J. Comput. Nonlinear Dynam. March 2018; 13(3): 031011. https://doi.org/10.1115/1.4039060
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