Abstract
A novel autonomous RLCC-Diodes-Opamp chaotic oscillator with a pair of antiparallel semiconductor diodes implementing hyperbolic sine nonlinearity is introduced. Basic dynamic properties of the new system are categorized numerically with respect to its parameters by exploiting standard nonlinear analysis tools such as time series, bifurcation diagrams, plots of largest Lyapunov exponent, phase portraits, Poincare sections, and basins of attraction. Some striking phenomena are reported including antimonotonicity, period doubling, crises, chaos, hysteresis, and coexisting bifurcations. More importantly, one of the most interesting results is the finding of various regions in the parameters’ space in which the proposed oscillator develops the phenomenon of multiple attractors characterized by the coexistence of up to four disconnected periodic and chaotic attractors for the same values of parameters. Laboratory measurements are consistent with the theoretical results.
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