BIFURCATION ANALYSIS OF HOPPING BEHAVIOR IN CELLULAR PATTERN-FORMING SYSTEMS

DOI10.1142/S0218127407017380zbMath1145.35331OpenAlexW2033497098MaRDI QIDQ3499140

Scott Gasner, Antonio Palacios, Peter Blomgren

Publication date: 28 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407017380

zbMATH Keywords

circular domaincellular flamesmode decomposition analysissymmetry-based arguments

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Developmental biology, pattern formation (92C15) Invariance and symmetry properties for PDEs on manifolds (58J70) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (2)

Recent advances in \(2+1\)-dimensional simulations of the pattern-forming Kuramoto-Sivashinsky equation ⋮ INTERMITTENCY NEAR A CODIMENSION THREE STEADY-STATE BIFURCATION

Cites Work

• Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• On Flame Propagation Under Conditions of Stoichiometry
• Bifurcation from O(2) symmetric heteroclinic cycles with three interacting modes
• Cellular pattern formation in circular domains
• Hopping behavior in the Kuramoto–Sivashinsky equation

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