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An analog electronic implementation by means of operational amplifiers of a class of hybrid dissipative systems in R3 is presented. The switching systems have two unstable hyperbolic focus-saddle equilibria with the same stability index, a positive real eigenvalue and a pair of complex conjugated eigenvalues with negative real part. The analog circuit generates signals that oscillate in an attractor located between the two unstable equilibria, and may present saturation states at the moment of energizing it, i.e. if the initial voltage on the capacitors do not belong to the basin of attraction the circuit will end on a saturation state. © 2016 World Scientific Publishing Company.
analog computation; chaos; Electronic implementation; hybrid systems; piecewise linear systems Analog computers; Chaos theory; Eigenvalues and eigenfunctions; Hybrid systems; Linear systems; Piecewise linear techniques; Analog computation; Analog electronics; Basin of attraction; Dissipative systems; Electronic implementations; Piece-wise linear systems; Saturation state; Stability indices; Operational amplifiers
Analog Electronic Implementation of a Class of Hybrid Dissipative Dynamical System
Generically Dependent Continuant
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International Journal of Bifurcation and Chaos
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