Investigation and realization of novel chaotic system with one unstable equilibrium and symmetric coexisting attractors

In this paper, a novel four-dimensional chaotic system with three quadratic nonlinearities and only one unstable equilibrium is reported. The dynamical behaviors with respect to system parameters and initial conditions are analyzed. It shows that the novel system performs periodic, quasi-periodic and chaotic motions with the variation of parameters and generates a pair of symmetric coexisting attractors for different initial conditions. Moreover the circuit implementation and impulsive synchronization control of the system are well investigated with the achievement of some theoretical and numerical results