Abstract
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 Nδ 1/2<=δ<=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 Nδ modes encoded in the weights was confirmed numerically.
Original language | English |
---|---|
Pages (from-to) | 4844-4847 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 77 |
Issue number | 23 |
DOIs | |
State | Published - 1996 |