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

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Nonlinear Dynamics, 91(4), 2523–2540 (2018) .

Full text: http://dx.doi.org/10.1007/s11071-017-4029-5

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Pre-print (draft before peer review) - added by Marius Florin Danca

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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 withoutequilibria, the system has hidden attractors.

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