Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems

Abstract

This paper presents a semi-analytical method for periodic flows in continuous nonlinear dynamical systems. For the semi-analytical approach, differential equations of nonlinear dynamical systems are discretized to obtain implicit maps, and a mapping structure based on the implicit maps is employed for a periodic flow. From mapping structures, periodic flows… (More)
DOI: 10.1142/S0218127415500443

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