Bifurcation of homoclinic orbits to a saddle-focus in reversible systems with SO(2)-symmetry

DOI10.1006/jdeq.1999.3675zbMath0951.34022OpenAlexW1965572066WikidataQ59902078 ScholiaQ59902078MaRDI QIDQ1970028

Alexander Mielke, Andrei L. Afendikov

Publication date: 4 December 2000

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4682a4ed13303ea0cfb326ac6b82df9d5ced4fb6

zbMATH Keywords

bifurcationreversible systemshomoclinic orbitstransversality conditionsteady complex Ginzburg-Landau equationhomoclinic \(n\)-pulse solutionsSO(2)-symmetry systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Multi-hump pulses in systems with reflection and phase invariance, Homoclinic and periodic orbits arising near the heteroclinic cycle connecting saddle-focus and saddle under reversible condition, Smooth equivalence of differential equations, and linear automorphisms

Cites Work

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