Noise-induced attractor annihilation in the delayed feedback logistic map

摘要: We study dynamics of the bistable logistic map with delayed feedback, under influence white Gaussian noise and periodic modulation applied to variable. This system may serve as a model describe population finite resources in noisy environment seasonal fluctuations. While very small amount has no effect on global structure coexisting attractors phase space, an intermediate totally eliminates one attractors. Slow enhances attractor annihilation.