Abstract
In this paper, a new function is introduced to generate various multi-double-scroll and multi-double-wing hidden attractors. In order to prove the effectiveness of the proposed method, three chaotic systems are taken into consideration: a 3D chaotic system with stable equilibria, a 4D chaotic system and a 4D hyper-chaotic system both without equilibrium. And the dynamical behaviors of these systems are theoretically analyzed and numerically simulated, such as analysis of equilibria and their stability, Lyapunov exponent spectra and bifurcation diagrams. Moreover, a corresponding electronic circuit is designed based on the 4D chaotic system. The hardware experimental results are in agreement with the numerical simulations on the Matlab platform.
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