Birth-death process of local structures in defect turbulence described by the one-dimensional complex Ginzburg-Landau equation

DOI10.1016/J.PHYSLETA.2014.03.002zbMath1323.35171OpenAlexW2053671535MaRDI QIDQ888003

Yusuke Uchiyama, Hidetoshi Konno

Publication date: 4 November 2015

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2014.03.002

zbMATH Keywords

complex Ginzburg-Landau equationlong-memoryPoisson statisticslocal structuresdefect turbulencenon-Markovian master equation

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Ginzburg-Landau equations (35Q56)

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Cites Work

• On the exact solution of a generalized Pólya process
• Stochastic methods. A handbook for the natural and social sciences
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Coherent and incoherent structures in systems described by the 1D CGLE: experiments and identification
• Defect turbulence and generalized statistical mechanics
• Transition to spatiotemporal chaos via stationary branching shocks and holes
• The world of the complex Ginzburg-Landau equation
• Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation
• Pattern formation outside of equilibrium
• First Steps in Random Walks
• Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation

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