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Normally Elliptic Singular Perturbations and Persistence of Homoclinic Orbits
Normally Elliptic Singular Perturbations Persistence of Homoclinic Orbits
2011/1/14
We consider a dynamical system, possibly infinite dimensional or non-autonomous, with fast and slow time scales which is oscillatory with high frequencies in the fast directions. We first derive and j...
Homoclinic and Periodic Orbits Arising Near the Heteroclinic Cycle Connecting Saddle-focus and Saddle Under Reversible Condition
reversible condition homoclinic orbit periodic orbit saddle-focus
2007/12/11
In this paper, we study the dynamical behavior for a 4-dimensional reversible system near its heteroclinic loop connecting a saddle-focus and a saddle. The existence of infinitely many reversible 1-ho...