Symmetries and exponential smallness of bifurcation functions of a class of singular reversible systems

DOI10.1016/S0362-546X(97)00603-2zbMath0983.34026MaRDI QIDQ4259722

Claudio Lazzari

Publication date: 10 April 2002

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

homoclinic orbitsingularly perturbed systemreversible systembifurcation function

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Unnamed Item
• Transversal heteroclinic and homoclinic orbits in singular perturbation problems
• Bounded solutions to singularly perturbed systems of O. D. E
• Exponentially small bifurcation functions in singular systems of O.D.E
• Singular Perturbations of Homoclinic Orbits in $\mathbb{R}^4 $
• Melnikov functions for singularly perturbed ordinary differential equations

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