Dynamic characterisers of spatiotemporal intermittency

Abstract

We study spatiotemporal intermittency in a system of coupled sine circle maps. The phase diagram of the system shows parameter regimes where the STI lies in the directed percolation class, as well as regimes which show pure spatial intermittency (where the temporal behaviour is regular) which do not belong to the DP class. Thus, both DP and non-DP behaviour can be seen in the same system. The signature of DP and non-DP behaviour can be seen in the dynamic characterisers, viz. the spectrum of eigenvalues of the linear stability matrix of the evolution equation, as well as in the multifractal spectrum of the eigenvalue distribution. The eigenvalue spectrum of the system in the DP regimes is continuous, whereas it shows evidence of level repulsion in the form of gaps in the spectrum in the non-DP regime. The multifractal spectrum of the eigenvalue distribution also shows the signature of DP and non-DP behaviour. These results have implications for the manner in which correlations build up in extended systems.

24 pages, 9 figures. To be published in Phys. Rev. E

References in corpus (12)

• Universality classes in nonequilibrium lattice systems
• Disordered Regimes of the one-dimensional complex Ginzburg-Landau equation
• Spatio-temporal oscillations and rheochaos in a simple model of shear banding
• Characteristic distributions of finite-time Lyapunov exponents
• Absorbing Phase Transitions of Branching-Annihilating Random Walks
• Directed Percolation Universality in Asynchronous Evolution of Spatio-Temporal Intermittency
• Critical exponents of directed percolation measured in spatiotemporal intermittency
• Breakdown of universality in transitions to spatio-temporal chaos
• Routes to spatiotemporal chaos in the rheology of nematogenic fluids
• Evidence for directed percolation universality at the onset of spatiotemporal intermittency in coupled circle maps
• Synchronisation in Coupled Sine Circle Maps
• The role of diffusion in branching and annihilation random walk models

Cited by in corpus (8)

• Spatiotemporal intermittency and scaling laws in the coupled sine circle map lattice
• The dynamical origin of the universality classes of spatiotemporal intermittency
• Chimera states for a globally coupled sine circle map lattice: spatiotemporal intermittency and hyperchaos
• Stretched exponential dynamics of coupled logistic maps on a small-world network
• Non-universal dependence of spatiotemporal regularity on randomness in coupling connections
• Emergence of order from chaos through a continuous phase transition in a turbulent reactive flow system
• Dynamic Phase Transition from Localized to Spatiotemporal Chaos in Coupled Circle Map with Feedback
• Probabilistic signatures of spatiotemporal intermittency in the coupled sine circle map lattice