Exploring chaos and ergodic behavior of an inductorless circuit driven by stochastic parameters

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  • What: The authors determine the probability density function of the stochastic map and verify its invariance under initial conditions. As the period-incrementing cascade with chaotic inclusion only occurs in nonsmooth maps this paper numerically shows the stochasticity of a piecewise-smooth map obtained from a practical system for the first time where randomness is introduced in the parameter space. The stochasticity in this work is chosen from a probability distribution within a specific parameter range from the work shown. By doing so, the authors aim to explore whether the system exhibits any new dynamical behavior other . . .

     

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