Abstract

In this paper, a novel four-dimensional(4D) fractional-order chaotic system is proposed deduced from the model of ferromagnetic resonance. The attractor is a three-dimensional (3D) torus like the Olympic nest in Beijing when the system is in stable state. Dynamic behaviors of the novel 4D ferromagnetic system are analyzed in detail, such as phase portrait, Poincare map, Lyapunov exponents and bifurcation diagram. Then the influence of the fractional-order on the dynamic behaviors of this system is analyzed. Numerical simulation results illustrate the feasibility of the novel system.

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