4.6 Article

A Novel Four-Dimensional Hyperchaotic Four-Wing System With a Saddle-Focus Equilibrium

Journal

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2016.2585680

Keywords

Bifurcation diagram; chaos; hyperchaos; Lyapunov exponents; nonlinear circuit; Poincare section; regular orbits

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A novel 4-D hyperchaotic four-wing system with a saddle-focus equilibrium is introduced in this brief. The qualitative analysis of the proposed system confirms its complex dynamic behavior, which is studied by using well-known numerical tools of nonlinear theory, such as the bifurcation diagram, Lyapunov exponents, Poincare maps, and phase portraits. Furthermore, the novel hyperchaotic system is experimentally emulated by an electronic circuit, and its dynamic behavior is studied to confirm the feasibility of the theoretical model.

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