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**Adaptive projective synchronization between two different fractional-order chaotic systems with fully unknown parameters.**
*(English)*
Zbl 1264.34103

Summary: Projective synchronization between two different fractional-order chaotic systems with fully unknown parameters for drive and response systems is investigated. On the basis of the stability theory of fractional-order differential equations, a suitable and effective adaptive control law and a parameter update rule for unknown parameters are designed, such that projective synchronization between the fractional-order chaotic Chen system and the fractional-order chaotic Lü system with unknown parameters is achieved. Theoretical analysis and numerical simulations are presented to demonstrate the validity and feasibility of the proposed method.

### MSC:

34D06 | Synchronization of solutions to ordinary differential equations |

37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |

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\textit{L. Chen} et al., Math. Probl. Eng. 2012, Article ID 916140, 16 p. (2012; Zbl 1264.34103)

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