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Hyperchaos in a memristor-based modified canonical Chua’s circuit. (English) Zbl 1270.34123

Summary: A memristor with cubic nonlinear characteristics is employed in the modified canonical Chua’s circuit. A systematic study of hyperchaotic behavior in this circuit is performed with the help of nonlinear tools such as Lyapunov exponents, phase portraits and bifurcation diagrams. In particular, an imitative memristor circuit is examined to reveal the construction of hyperchaotic attractors.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34D08 Characteristic and Lyapunov exponents of ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
94C05 Analytic circuit theory
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