| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5499700 | Chaos, Solitons & Fractals | 2017 | 8 Pages |
Abstract
In the present article we take a survey of present literature on chaotic behavior of fractional order dynamical systems. Further we numerically explore fractional Chen, Rössler, Bhalekar-Gejji, Lorenz and Liu systems and observe that chaos always disappear if Σ ⤠2. The existing examples in the literature along with the systems that we have analyzed lead us to conjecture non-existence of chaos if Σ ⤠2; which in some sense is a generalization of classical Poincaré-Bendixon theorem for FODS.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Amey S. Deshpande, Varsha Daftardar-Gejji,