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This paper describes a previously undocumented phenomenon in dynamical
systems theory; namely, the occurrence of heteroclinic cycles that are structurally
stable within the space of Cr vector fields...
Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles
Exponential Dichotomies Homoclinic Orbits Heteroclinic Cycle Melnikov Function
2013/1/30
In this paper, we investigate the homoclinic bifurcations from a heteroclinic cycle by using exponential dichotomies.We give a Melnikov!atype condition assuring the existence ofhomoclinic orbits form ...