Abstract
We consider coupled map lattices of the type , where for concreteness we take , with . We show that near (no coupling) and the envelope of the largest Lyapunov exponent of the full system obeys the scaling law . We further argue that this law is universal in that it is independent of the details of insofar as has a single critical point in the interval and its lowest order power expansion about has the form . The dependence of on the size of the lattice as well as on the range of the coupling is also discussed.
- Received 25 August 1995
DOI:https://doi.org/10.1103/PhysRevLett.76.1808
©1996 American Physical Society