Onset of spatiotemporal chaos in a nonlinear system

Journal Article · Fri Jun 15 00:00:00 EDT 2007 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PHYSREVE.75.067202· OSTI ID:21075563

Szezech, Jr, J D; Lopes, S R; Viana, R L ^[1]

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1. Departamento de Fisica, Universidade Federal do Parana, Caixa Postal 19081, 81531-990, Curitiba, Parana (Brazil)

We describe the onset of spatiotemporal chaos in a spatially extended nonlinear dynamical system as a result of the loss of transversal stability of an invariant manifold representing a spatially homogeneous and temporally chaotic state. The onset of spatiotemporal chaos is characterized by the switching between spatially homogeneous and nonhomogeneous states with statistical properties of on-off intermittency.

• OSTI ID: 21075563
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 6 Vol. 75; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
NONLINEAR PROBLEMS
STABILITY