A new seven-term chaotic attractor and its hyperchaos

Abstract

In this paper a new chaotic system reported. Some basic dynamical properties of the new attractor are demonstrated in terms of equilibria, Jacobian matrices, Lyapunov exponents, chaotic waveform in time domain, continuous frequency spectrum and its hyperchaos case. The new system and its hyperchaos case are examined in Matlab-Simulink. The new system has seven terms, two quadratic nonlinearities and has rich dynamic behaviours.