Chaos in fractional order Systems
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Date
2023-06-04
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Université Echahid Chikh Larbi Tébessi -Tébessa
Abstract
The purpose of thisworkis to study the existence of chaos in somefractional-ordersystems, by brovingthat the studiedfractional system can display chaoticbehavior in two cases. In the case commensurateusing the minimal ordersystems and in the case incommensurateorderusing the caracteristic polynomial, then the corresponding simulation results are provided to demonstrate the effectiveness of the proposedmethod in Matlab.
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Keywords
Dynamical system, chaos, chaos theory, chaotic of Fractional-order, commensurate, incommensurate