Opposite Bifurcations in a Uniform-Coefficient Chaotic Jerk Model Based on a Nonlinearity of Tanh(Bx)

摘要

A uniform-coefficient chaotic jerk model based on a nonlinearity of Tanh(Bx) is presented. Either a uniform coefficient A or a parameter B can be a control parameter for bifurcations in negative or positive directions, respectively. The bifurcation in the positive direction can be demonstrated when A is a certain constant and B is an increasing control parameter. By contrast, the opposite bifurcation in the negative direction can be demonstrated when B is a certain constant and A is a decreasing control parameter. Basic dynamical properties are also illustrated.