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arXiv · 1711.06777

Stability of Fixed Points and Chaos in Fractional Systems

Mark Edelman
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Abstract

In this paper we propose a method to define the range of stability of fixed points for a variety of discrete fractional systems of the order $0 < \alpha <2$. The method is tested on various forms of fractional generalizations of the standard and logistic maps. Based on our analysis we make a conjecture that chaos is impossible in the corresponding continuous fractional systems.

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Mark Edelman. 2017-11-18. Stability of Fixed Points and Chaos in Fractional Systems. https://doi.org/10.1063/1.5016437

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