Dynamic characterizers of spatiotemporal intermittency and mapping to cellular automaton : An inhomogeneous coupled map lattice

We investigate spatiotemporal intermittency (STI) using dynamic characterizers like asymptotic Lyapunov exponents and finite-time Lyapunov exponents. The transition to fully turbulent state via spatiotemporal intermittency is apparent in the asymptotic Lyapunov exponents and the distribution of finite time Lyapunov exponents. The asymptotic Lyapunov exponents display relatively high fluctuations, whereas the distribution of finite time Lyapunov exponents shows larger variance near to the transition. A change from spreading to non-spreading state occurs if we move from the point of STI to the point of spatial intermittency (SI) along a straight line joining them. This transition corresponds to the transition from probabilistic to deterministic cellular automaton in the map of the model to equivalent cellular automaton.