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K. J. Palmer, “Transversal Heteroclinic Orbits and Cherry’s Example of a Nonintegrable Hamiltonian System,” Journal of Differential Equations, Vol. 65, No. 3, 1986, pp. 321-360. doi:10.1016/0022-0396(86)90023-9

has been cited by the following article:

• TITLE: Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles

  AUTHORS: Tiejun Chen, Yu Xiang, Yuxiao Chen

  KEYWORDS: Exponential Dichotomies; Homoclinic Orbits; Heteroclinic Cycle; Melnikov Function

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.2, June 21, 2012

  ABSTRACT: In this paper, we investigate the homoclinic bifurcations from a heteroclinic cycle by using exponential dichotomies. We give a Melnikov—type condition assuring the existence of homoclinic orbits form heteroclinic cycle. We improve some important results.