WIAS Preprint No. 577, (2000)

Dynamical phenomena near a homo- or heteroclinic connection involving saddle-foci in a Hamiltonian system


  • Lerman, Lev M.

2010 Mathematics Subject Classification

  • 34C37 37J45


  • Hamiltonian, saddle-focus, homoclinic, heteroclinic, bifurcation, generating function




The main features of the orbit behavior for a Hamiltonian system in a neighborhood of a homoclinic orbit to a saddle-focus equilibrium or of a contour made up of two saddle-foci and two heteroclinic orbits to them are presented. These features includes description of hyperbolic subsets and main bifurcations when varying a value of the Hamiltonian and parameters. The proofs of results about bifurcations are given.

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