A note on the fractional-order Chen system
β Scribed by Jun Guo Lu; Guanrong Chen
- Book ID
- 108088538
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 162 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0960-0779
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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
In this paper, it is shown that the fractional-order derivatives of a periodic function with a specific period cannot be a periodic function with the same period. The fractional-order derivative considered here can be obtained based on each of the well-known definitions Grunwald-Letnikov definition,
Nonlinear control theory is successfully extended to fractional-order Chen systems to achieve synchronization. The corresponding fraction-order numerical algorithms are established. The analytical results are derived based on the Laplace transformation theory. Moreover, numerical simulations are sho
In this paper, based on a stability theorem proved for linear fractional-order systems, a scheme for robust synchronization of two perturbed fractional-order Chen systems is proposed. In the proposed scheme, both master and slave systems are considered to be involved with external disturbances havin