Analysis and synchronization for a new fractional-order chaotic system with absolute value term. (English) Zbl 1267.34008
Summary: A new fractional-order chaotic system with absolute value term is introduced. Some dynamical behaviors are investigated and analyzed. Furthermore, synchronization of this system is achieved by utilizing the drive-response method and the feedback method. The suitable parameters for achieving synchronization are studied. Both the theoretical analysis and numerical simulations show the effectiveness of the two methods.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 93D15 | Stabilization of systems by feedback |
| 34D06 | Synchronization of solutions to ordinary differential equations |
| 34K35 | Control problems for functional-differential equations |
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