Dynamical Behavior of the Forced Compound KdV-Burgers-type Equation with High-order Nonlinear Terms

Abstract

The dynamical behavior of the forced compound KdV-Burgers-type equation with high-order nonlinear terms is investigated. It is shown that chaos can occur when systematic parameters are appropriately chosen. Abundant bifurcation structures and different routes to chaos such as period-doubling bifurcations, intermittent bifurcations and crises are found by applying bifurcation diagrams, Poincare maps and phase portraits.