Emergence of Chaos in Asymmetric Networks.
نویسنده
چکیده
The dynamics of a network of N nonlinear elements interacting via random asymmetric weights is studied analytically. A transition from an ordered phase to a chaotic one is obtained when the number of relevant modes used to construct the weights exceeds N 1y2 # d # 1. In the ordered phase the dynamics of each element is characterized by an embedding dimension equal to one, or is dominated by one Fourier component. The transition to chaos reflecting that N coupled elements cannot follow more than N modes encoded in the weights was confirmed numerically. [S0031-9007(96)01776-0]
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ورودعنوان ژورنال:
- Physical review letters
دوره 77 23 شماره
صفحات -
تاریخ انتشار 1996