Phase multistability of synchronous chaotic oscillations.

Vadivasova, T.E.; Sosnovtseva, O.V.; Balanov, A.G.; Astakhov, V.V.

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By introducing a feedback control to a proposed Sprott E system, an extremely complex chaotic attractor with only one stable equilibrium is derived. The system evolves into periodic and chaotic behaviors by detailed numerical as well as theoretical analysis. Analysis results show that chaos also can be generated via a period-doubling bifurcation when the system has one and only one stable equilibrium. Based on Lyapunov stability theory, the adaptive control law and the parameter update...