Cellular pattern formation in circular domains

DOI10.1063/1.166218zbMath0938.37058OpenAlexW2068050543WikidataQ47870052 ScholiaQ47870052MaRDI QIDQ4936401

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Publication date: 8 February 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/98500541a19c1f81520cc1a89acbbb9b0f82687c

zbMATH Keywords

heteroclinic cyclesuniform rotationscellular patternscircular flame frontflame patternsnonstationary patternsnonuniform rotations

Mathematics Subject Classification ID

Combustion (80A25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (13)

BIFURCATION ANALYSIS OF HOPPING BEHAVIOR IN CELLULAR PATTERN-FORMING SYSTEMS ⋮ Mode selection in concentric jets: the steady–steady 1 : 2 resonant mode interaction with O(2) symmetry ⋮ NOISE-INDUCED INTERMITTENCY IN CELLULAR PATTERN-FORMING SYSTEMS ⋮ Modal decomposition of hopping states in cellular flames ⋮ Hopping behavior in the Kuramoto–Sivashinsky equation ⋮ Experimental observation of near-heteroclinic cycles in the von Kármán swirling flow ⋮ Dynamics in the 1:2 spatial resonance with broken reflection symmetry ⋮ Using Karhunen-Loève decomposition and artificial neural network to model miscible fluid displacement in porous media ⋮ Exploring archetypal dynamics of pattern formation in cellular flames ⋮ Recent advances in \(2+1\)-dimensional simulations of the pattern-forming Kuramoto-Sivashinsky equation ⋮ INTERMITTENCY NEAR A CODIMENSION THREE STEADY-STATE BIFURCATION ⋮ Complex dynamics in the 1:3 spatial resonance ⋮ Geometry and boundary control of pattern formation and competition

Uses Software

• KLTOOL

Cites Work

• The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
• Bifurcation problems with \(O(2)\oplus Z_ 2\) symmetry and the buckling of a cylindrical shell
• Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
• The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
• Steady-state mode interactions in the presence of 0(2)-symmetry
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Nonlinear Marangoni convection in bounded layers. Part 1. Circular cylindrical containers

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