Abstract
A novel simple four-dimensional chaotic system with four cross terms is discussed. Four linear terms and four nonlinear terms are included in the 4D chaotic system. The system exhibits chaotic behaviors as its parameters vary in a very large range. Its phase portraits, Poincare maps, equilibrium points, spectra of Lyapunov exponents, bifurcation diagrams, and power spectra are analyzed by mathematical analyses and numerical simulations. Theoretical analysis and simulation test results prove that the proposed 4D system has unstable equilibrium points and strange chaotic or hyper-chaotic attractors when its system parameters belong to a large scope.
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