Title :
Complex Dynamics of an Autonomous Prey-Predator System with Impulsive State Feedback Control
Author :
Xiong, Zuoliang ; Wang, Xin ; Li, Shunyi
Author_Institution :
Dept. of Mathematic, Nanchang Univ., Nanchang, China
Abstract :
The complex dynamics of an autonomous prey-predator system with impulsive state feedback control is studied. The sufficient conditions for the existence and stability of semi-trivial are obtained by using the Poincare map. Numerical simulations show that the complex dynamics of system we considered, including the doubling-bifurcations, chaos, etc.
Keywords :
Poincare mapping; bifurcation; large-scale systems; predator-prey systems; stability; state feedback; Poincare map; autonomous prey-predator system; bifurcation; chaos; complex dynamics; impulsive state feedback control; numerical simulation; stability; Bifurcation; Chaos; Continuous time systems; Control systems; Differential equations; Mathematics; Numerical simulation; Stability; State feedback; Sufficient conditions; periodic solution; state impulsive; the Poincaré criterion; the Poincaré map;
Conference_Titel :
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location :
Manchester
Print_ISBN :
978-0-7695-3634-7
DOI :
10.1109/ICIC.2009.255
