We study the complex spatiotemporal behaviour of a coupled map lattice with a one-humped chaotic map and an unstable Laplacian coupling. Bifurcations are numerically investigated and interpreted using low-dimensional approximations corresponding to the relevant degrees of freedom of the infinite-dimensional system. Varying the control parameter we find different phases in the chaotic domain such as localized chaos or propagating chaos, spatiotemporal intermittency and transient chaos. According to our results, unstable coupling leads to a number of new features, including the effects that (i) the first bifurcation becomes discontinuous and (ii) the chaotic regime sets in sooner than for a single map.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics