Long-range order with local chaos in lattices of diffusively coupled ODEs

DOI10.1016/0167-2789(94)90111-2zbMath0814.34027OpenAlexW2036472967WikidataQ57874749 ScholiaQ57874749MaRDI QIDQ1344760

Paul Manneville, Hugues Chaté, Leonardo Gregory Brunnet

Publication date: 12 June 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90111-2

zbMATH Keywords

diffusively coupled differential equationslocal chaosnon-trivial collective behaviortwo-dimensional square lattice of Rössler systems

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (11)

Phase synchronization of chaotic oscillators by external driving ⋮ Long range order of a cellular structure exhibiting chaotic oscillation ⋮ The Lorenz-Fermi-Pasta-Ulam experiment ⋮ Dynamics of spatial averages ⋮ Spatiotemporal dynamics of mesoscopic chaotic systems ⋮ The world of the complex Ginzburg-Landau equation ⋮ Cooperative behavior of a chain of synaptically coupled chaotic neurons ⋮ Dynamic spectral analysis of phase turbulence ⋮ The synchronization of chaotic systems ⋮ Cluster-splitting bifurcation in a system of coupled maps ⋮ Nonmonotonic maps and related bifurcations in laser accelerators.

Cites Work

• Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation
• Scaling-law for the maximal Lyapunov exponent
• Unnamed Item

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