It has been suggested that spatiotemporal dynamical systems cannot exhibit fractal basin boundaries, as interactions among chaotic elements at different spatial sites may destroy fine scale phase-space structures. We present evidence of an extreme type of fractal basin boundary in spatiotemporal chaotic systems modeled by globally coupled, two-dimensional maps. The existence of fractal basin boundaries for these systems indicates an extreme sensitive dependence of asymptotic attractors on both initial conditions and parameters.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics