INTERMITTENCY NEAR A CODIMENSION THREE STEADY-STATE BIFURCATION

DOI10.1142/S0218127411028428zbMath1208.34061MaRDI QIDQ3086322

Joan Manuel Martinez, Peter Blomgren, Antonio Palacios

Publication date: 30 March 2011

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

zbMATH Keywords

bifurcationspatio-temporal patternscellular flames

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Pattern formations in context of PDEs (35B36)

Cites Work

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• Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
• Robust heteroclinic cycles
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• NOISE-INDUCED INTERMITTENCY IN CELLULAR PATTERN-FORMING SYSTEMS
• Structurally stable heteroclinic cycles
• Bifurcation from O(2) symmetric heteroclinic cycles with three interacting modes
• Functional measure for gauge fields on periodic lattices
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry
• Cellular pattern formation in circular domains
• Hopping behavior in the Kuramoto–Sivashinsky equation

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