Abstract
A circuit employing resistances, capacitors, operational amplifiers, and diodes in antiparallel as nonlinear elements is analytically, numerically, and experimentally investigated in this chapter. The mathematical model describing the circuit is a three-dimensional autonomous system with a nonlinear term in the form of a hyperbolic sine function. By analyzing the stability of the equilibrium points, the existence of Hopf bifurcation is established. For a suitable choice of the parameters, the circuit displays single- and double-scroll chaotic attractors. The circuit can generate period-doubling bifurcations, symmetry breaking and recovering bifurcations, antimonotonicity, bistabe chaotic attrators, and periodic and chaotic bubbles attractors. Finally, the chaotic attractors generated in the circuit are experimentally confirmed via an electronic realization of the circuit. A good qualitative agreement is illustrated between the numerical and the experimental results.
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