Abstract
We present main features of the orbit behavior for a Hamiltonian system in a neighborhood of homoclinic orbit to a saddle-focus equilibrium. These features includes description of hyperbolic subsets and main bifurcations when varying a value of the Hamiltonian. The proofs of results about bifurcations are given.
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Lerman, L.M. Dynamical Phenomena near a Saddle-Focus Homoclinic Connection in a Hamiltonian System. Journal of Statistical Physics 101, 357–372 (2000). https://doi.org/10.1023/A:1026411506781
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DOI: https://doi.org/10.1023/A:1026411506781