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Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system

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In this paper, a continuous approximation to studying a class of PWC systems of fractional-order is presented. Some known results of set-valued analysis and differential inclusions are utilized. The example… Click to show full abstract

In this paper, a continuous approximation to studying a class of PWC systems of fractional-order is presented. Some known results of set-valued analysis and differential inclusions are utilized. The example of a hyperchaotic PWC system of fractional order is analyzed. It is found that without equilibria, the system has hidden attractors.

Keywords: pwc; system; fractional order; continuous approximation; hyperchaotic pwc

Journal Title: Nonlinear Dynamics
Year Published: 2018

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