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- Title
Dynamics Analysis and Chaotic Control of a Fractional-Order Three-Species Food-Chain System.
- Authors
Wang, Lina; Chang, Hui; Li, Yuxia
- Abstract
Based on Hastings and Powell's research, this paper extends a three-species food-chain system to fractional-order form, whose dynamics are analyzed and explored. The necessary conditions for generating chaos are confirmed by the stability theory of fractional-order systems, chaos is characterized by its phase diagrams, and bifurcation diagrams prove that the dynamic behaviors of the fractional-order food-chain system are affected by the order. Next, the chaotic control of the fractional-order system is realized by the feedback control method with a good effect in a relative short period. The stability margin of the controlled system is revealed by the theory and numerical analysis. Finally, the results of theory analysis are verified by numerical simulations.
- Subjects
HASTINGS (England); BIFURCATION diagrams; STABILITY theory; NUMERICAL analysis; PHASE diagrams; SYSTEMS theory; FOOD chains; LYAPUNOV stability
- Publication
Mathematics (2227-7390), 2020, Vol 8, Issue 3, p409
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math8030409