The Dynamical Dimension of Defects in Spatiotemporal Chaos

Abstract

Using a new time-dependent measure, we demonstrate for the first time that each defect in a representative defect-mediated spatiotemporally chaotic system is associated with one to two degrees of dynamical freedom. Furthermore, we show that not all dynamical degrees of freedom are related to the defects; additional degrees of freedom are due to underlying phase turbulence. These results yield a deeper understanding of the dynamical role of defects and provide hope that these complicated systems might be reduced to simpler descriptions.

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References in corpus (4)

• Phase Diagram of the Two-Dimensional Complex Ginzburg-Landau Equation
• Characterization of the transition from defect- to phase-turbulence
• Size-Dependent Transition to High-Dimensional Chaotic Dynamics in a Two-Dimensional Excitable Medium
• Lyapunov spectral analysis of a nonequilibrium Ising-like transition

Cited by in corpus (7)

• The World of the Complex Ginzburg-Landau Equation
• Curvature Fields, Topology, and the Dynamics of Spatiotemporal Chaos
• Does the brain behave like a (complex) network? I. Dynamics
• Quantifying Spatiotemporal Chaos in Rayleigh-Bénard Convection
• Penta-hepta defect chaos in a model for rotating hexagonal convection
• Ising-like critical behavior of vortex lattices in an active fluid
• A Non-Equilibrium Defect-Unbinding Transition: Defect Trajectories and Loop Statistics