Chaos control of a discrete coupled Logistic model for the symbiotic interaction of two species

Abstract

In allusion to a discrete coupled Logistic model with symbiotic interaction, the presence of chaos was validated by computing Lyapunov exponent measure. More complex phenomena were found by analyzing bifurcation diagrams of system with varieties of parameter elaborately. By applying tracking control of chaos to stabilize the species to the unstable fixed points, chaotic trajectories in the system were controlled in the anticipant trajectory and chaotic phenomena were eliminated. The correctness of the conclusion was validated by simulation.