Scaling attractors of fractional differential systems. (English) Zbl 1147.34042
Summary: Scaling attractors of fractional differential systems are studied by means of synchronization methods. The synchronization error systems between the drive and response systems are analyzed by using the theory of Laplace transform. An efficient computational scheme is developed. Both numerical simulations and computer graphics show that the developed techniques work well.
MSC:
| 34D45 | Attractors of solutions to ordinary differential equations |
| 26A33 | Fractional derivatives and integrals |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 34D05 | Asymptotic properties of solutions to ordinary differential equations |
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