Master stability analysis in transient spatiotemporal chaos.
The asymptotic stability of spatiotemporal chaos is difficult to determine, since transient spatiotemporal chaos may be extremely long lived. A master stability analysis reveals that the asymptotic state of transient spatiotemporal chaos in the Gray-Scott system and in the Bär-Eiswirth system is characterized by negative transverse Lyapunov exponents on the attractor of the invariant synchronization manifold. The average lifetime of transient spatiotemporal chaos depends on the number of transverse directions that are unstable along a typical excitation cycle.
Wackerbauer
Renate
R
Department of Physics, University of Alaska, Fairbanks, Alaska 99775-5920, USA. ffraw1@uaf.edu