This work is devoted to investigating the synchronization between two novel different hyperchaotic systems with fully unknown parameters, i.e., an uncertain hyperchaotic Lorenz system and an uncertain hyperchaotic LΓΌ system. Based on the Lyapunov stability theory, a new adaptive controller with para
Chaos synchronization between two different fractional-order hyperchaotic systems
β Scribed by Lin Pan; Wuneng Zhou; Long Zhou; Kehui Sun
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 961 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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β¦ Synopsis
a b s t r a c t
This work investigates chaos synchronization between two different fractional-order hyperchaotic system (FOHS)s. A novel FOHS is also proposed in this paper. The Chen FOHS is controlled to be a new FOHS and the LΓΌ FOHS, respectively. The analytical conditions for the synchronization of these pairs of different FOHSs are derived by utilizing Laplace transform. Furthermore, synchronization between two different FOHSs is achieved by utilizing feedback control method in a quite short period and both remain in chaotic states. Numerical simulations are used to verify the theoretical analysis using different values of the fractional-order parameter.
π SIMILAR VOLUMES
Some dynamical behaviors are studied in the fractional order hyperchaotic Chen system which shows hyperchaos with order less than 4. The analytical conditions for achieving synchronization in this system via linear control are investigated theoretically by using the Laplace transform theory. Routh-H
A novel robust control scheme is proposed to realize anti-synchronization of two different hyperchaotic systems with external uncertainties. By introducing a compensator, the novel robust control scheme is developed based on nonlinear control and adaptive control, which can eliminate the influence o
This paper brings attention to hyperchaos anti-synchronization between two identical and different hyperchaotic systems by using adaptive control. The sufficient conditions for achieving the anti-synchronization of two hyperchaotic systems are derived based on Lyapunov stability theory. An adaptive