Secondary structures in a one-dimensional complex Ginzburg–Landau equation with homogeneous boundary conditions

DOI10.1098/rspa.2009.0002zbMath1186.76652OpenAlexW2097356991MaRDI QIDQ3561961

Laurent Nana, Innocent Mutabazi, Alexander B. Ezersky

Publication date: 19 May 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://rspa.royalsocietypublishing.org/content/vol465/issue2107/

zbMATH Keywords

pattern formationcomplex Ginzburg-Landau equationspatio-temporal intermittencyspiral vorticesperiodic amplitude defects

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear effects in hydrodynamic stability (76E30) Experimental work for problems pertaining to fluid mechanics (76-05)

Related Items (5)

Double Hopf bifurcation induces coexistence of periodic oscillations in a diffusive Ginzburg-Landau model ⋮ Transition to spatiotemporal chaos via stationary branching shocks and holes ⋮ Parametric disorder effects on a subcritical stationary bifurcation under nonlinear gradient term ⋮ The structure of spatio-temporal defects in a spiral pattern in the Couette-Taylor flow ⋮ Secondary instability and tertiary states in rotating plane Couette flow

Cites Work

• The world of the complex Ginzburg-Landau equation
• Pattern formation outside of equilibrium

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