Opposite bifurcations in a uniform-coefficient chaotic jerk model based on a nonlinearity of arcsinh(Bx)

A uniform-coefficient chaotic jerk model based on a nonlinearity of arcsinh(Bx) is presented where either a uniform coefficient A or a parameter B can be a control parameter for bifurcations in either negative or positive directions, respectively. A bifurcation in the positive direction can be demonstrated when A is a certain constant and B is an increasing control parameter. On the contrary, an 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.