Article ID Journal Published Year Pages File Type
4627717 Applied Mathematics and Computation 2014 9 Pages PDF
Abstract

The subharmonic bifurcations and chaotic motions are investigated both analytically and numerically for the traveling solutions of compound Kdv–Burgers equation with external and parametrical excitations. The critical curves separating the chaotic and non-chaotic regions are obtained. The chaotic feature on the system parameters are discussed in detail. Some new dynamical phenomena including the “controllable frequency” are presented. The conditions for subharmonic bifurcations are also obtained. Numerical results are given, which verify the analytical ones.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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