Abstract
A hyperchaotic system with an infinite line of equilibrium points is described. A criterion is pro posed 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. DOI: 10.1134/S1063776114030121 STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
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