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.