Chaos in a fractional-order Rössler system. (English) Zbl 1198.34001
Summary: The dynamic behaviors in the fractional-order Rössler equations were numerically studied. Basic properties of the system have been analyzed by means of Lyapunov exponents and bifurcation diagrams. The parameter and the derivative order ranges used were relatively broad. Regular motions (including period-3 motion) and chaotic motions were examined. The chaotic motion identified was validated by the positive Lyapunov exponent.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.
MSC:
| 34-04 | Software, source code, etc. for problems pertaining to ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
| 34H10 | Chaos control for problems involving ordinary differential equations |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
Software:
Sprott's SoftwareReferences:
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