Received October 26, 2013

A hyperchaotic system with an infinite line of
equilibrium points is described. A criterion is proposed for
quantifying the hyperchaos, and the position in the
three-dimensional parameter space where the hyperchaos is
largest is determined. In the vicinity of this point, different
dynamics are observed including periodicity, quasi-periodicity,
chaos, and hyperchaos. Under some conditions, the system has a
unique bistable behavior, characterized by a symmetric pair of
coexisting limit cycles that undergo period doubling, forming a
symmetric pair of strange attractors that merge into a single
symmetric chaotic attractor that then becomes hyperchaotic. The
system was implemented as an electronic circuit whose behavior
confirms the numerical predictions.

Ref: C. Li, J. C. Sprott, and W. Thio, Journal of Experimental and Theoretical Physics

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