Abstract
We study bifurcations of homoclinic orbits to hyperbolic saddles and saddle-centers in reversible systems analytically by Melnikov-type methods and algebraically by differential Galois theory.
Information
Published: 1 January 2015
First available in Project Euclid: 30 October 2018
zbMATH: 1344.34054
MathSciNet: MR3381207
Digital Object Identifier: 10.2969/aspm/06410229
Subjects:
Primary:
34C23
,
34C37
,
37C29
Keywords:
bifurcation
,
Differential Galois theory
,
Homoclinic orbits
,
Melnikov method
Rights: Copyright © 2015 Mathematical Society of Japan
