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Homoclinic orbits in degenerate reversible-equivariant systems in \(\mathbb R^6\)

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Publication:394936
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DOI10.1016/j.jmaa.2013.02.024zbMath1282.37018OpenAlexW1975815813MaRDI QIDQ394936

Maurício Firmino Silva Lima, Marco Antonio Teixeira

Publication date: 28 January 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.02.024

zbMATH Keywords

normal formperiodic orbithomoclinic orbitresonancereversibility


Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Homoclinic and heteroclinic orbits for dynamical systems (37C29)


Related Items

Complete transversals of symmetric vector fields, Existence of Chaos in the Chen System with Linear Time-Delay Feedback



Cites Work

  • Time-reversal symmetry in dynamical systems: a survey
  • Families of periodic orbits in resonant reversible systems
  • Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
  • Reversible equivariant Hopf bifurcation
  • Locally compact groups of differentiable transformations
  • Compact groups of differentiable transformations
  • Homoclinic and heteroclinic orbits for the 0² or 0²𝑖𝜔 singularity in the presence of two reversibility symmetries
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