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Hyperchaos in a modified canonical Chua’s circuit. (English) Zbl 1067.94597
Summary: We present the hyperchaos dynamics of a modified canonical Chua’s electrical circuit. This circuit, which is capable of realizing the behavior of every member of the Chua’s family, consists of just five linear elements (resistors, inductors and capacitors), a negative conductor and a piecewise linear resistor. The route followed is a transition from regular behavior to chaos and then to hyperchaos through border-collision bifurcation, as the system parameter is varied. The hyperchaos dynamics, characterized by two positive Lyapunov exponents, is described by a set of four coupled first-order ordinary differential equations. This has been investigated extensively using laboratory experiments, Pspice simulation and numerical analysis.
MSC:
94C05Analytic circuit theory
37D45Strange attractors, chaotic dynamics
37G25Bifurcations connected with nontransversal intersection
37C10Vector fields, flows, ordinary differential equations