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Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria
Homoclinic orbit bifurcation Differential Galois theory Melnikov method
2010/11/30
We study bifurcations of homoclinic orbits to hyperbolic saddle equilibria in a class of four-dimensional systems which may be Hamil-tonian or not. Only one parameter is enough to treat these types of...