Four-scroll chaotic attractor and four-scroll hyperchaotic attractor generated from a new four-dimensional dynamical system

In this paper, a new 4-D hyperchaotic system with one equilibrium point is first introduced. It contains ten terms with three quadratic nonlinearities. Of particular interest is that this novel system can generate periodic attractor, quasi-periodic attractor, four-scroll chaotic attractor and four-scroll hyperchaotic attractor with the variation of one of its parameters. Major dynamical properties of the new system are investigated such as...