Abstract
By using a parametric representation of the stable and unstable manifolds, we prove that for some given values of the parameter (in particular in the case first investigated by Hénon) the Hénon mapping has a transversal homoclinic orbit.
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Franceschini, V., Russo, L. Stable and unstable manifolds of the Hénon mapping. J Stat Phys 25, 757–769 (1981). https://doi.org/10.1007/BF01022365
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DOI: https://doi.org/10.1007/BF01022365