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**Chaos control and hybrid projective synchronization of a novel chaotic system.**
*(English)*
Zbl 1213.34077

Summary: Adaptive feedback controllers based on Lyapunov’s direct method for chaos control and hybrid projective synchronization (HPS) of a novel 3D chaotic system are proposed. Especially, the controller can be simplified ulteriorly into a single scalar one to achieve complete synchronization. The HPS between two nearly identical chaotic systems with unknown parameters is also studied, and adaptive parameter update laws are developed. Numerical simulations are demonstrated to verify the effectiveness of the control strategies.

### MSC:

34H10 | Chaos control for problems involving ordinary differential equations |

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

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\textit{T. Wang} et al., Math. Probl. Eng. 2011, Article ID 452671, 13 p. (2011; Zbl 1213.34077)

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