Analysis of basin structure of Milnor attractor in Globally Coupled Map
نویسندگان
چکیده
Abstract Chaotic Itinerancy (CI) have been of much interest, for example, in relevance to information processing in neural systems. Globally Coupled Map (GCM) is the most popular high-dimensional dynamical system which shows CI. Still its mechanism is not fully understood, it has been pointed out that relation between CI and the existence of Milnor attractor which has extreme instability for perturbation. In this study, to understand spatial structure of Milnor attractor in particular, we investigated basin structure of Milnor attractor in GCM. As a result, it is shown that Milnor attractors in GCM have riddled basins. This result suggests that the basins of coexisting attractors are intermingled each other over wide range of spatial scales.
منابع مشابه
On the Strength of Attractors in a High-dimensional System: Milnor Attractor Network, Robust Global Attraction, and Noise-induced Selection
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