Strong Chaos in a Forced Negative Conductance Series LCR Circuit

A negative conductance forced LCR circuit exhibiting strong chaos via the torus breakdown route as well as period-doubling route is described. The strong chaoticity is evidenced by the high value of the largest Lyapunov exponent and statistical studies. The dual nature of this circuit exhibiting the rich dynamics of both the Murali–Lakshmanan–Chua (MLC) circuit [Murali et al., 1994] and the circuit due to Inaba and Mori [1991] is also explored. The performance of the circuit is investigated by means of laboratory experiments, PSpice circuit simulation, numerical integration of appropriate mathematical model and explicit analytical studies, which all agree well with each other.

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