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Chaotic Behavior in Piecewise Continuous Maps

Chaotic Behavior in Piecewise Continuous Maps

In this paper, chaotic behavior in a piecewise continuous map(PCM) associated with sine circle maps of nonlinear systems of Van der Pol-Mathieu type is studied. At first, a sine circle map and its approximate PCM are derived. Secondly, based on computational experiments on Lyapunov exponents to approximate PCM, existence conditions …