CHAOS AND ADAPTIVE SYNCHRONIZATIONS IN FRACTIONAL-ORDER SYSTEMS
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- CHAOS AND ADAPTIVE SYNCHRONIZATIONS IN FRACTIONAL-ORDER SYSTEMS
- 发表刊物：
- INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
- 摘要：
- In this paper, chaos and adaptive synchronization for a fractional-order Genesio-Tesi system with fifth order nonlinearity are investigated. The minimum effective dimension for the system to remain chaotic is 2.784 in the commensurate-order case and 2.793 in the incommensurate-order case. A period-doubling bifurcation and an interior crisis from single-scroll to double-scroll attractors are also found with the variation of derivative order. Furthermore, based on the stability theory of fractional-order systems, the adaptive synchronization of the system with unknown parameters is realized by designing appropriated controllers. Numerical simulations are carried out to demonstrate the effectiveness and flexibility of the controllers.
- 合写作者：
- Xiaojun Liu, Ling Hong*
- 卷号：
- 23(11)
- 页面范围：
- 1350175
- 是否译文：
- 否
- 发表时间：
- 2013-12-01