Multi-round Homoclinic Orbits to a Hamiltonian with Saddle-center
نویسنده
چکیده
We consider a real analytic, two degrees of freedom Hamiltonian system possessing a homoclinic orbit to a saddle-center equilibrium p (two nonzero real and two nonzero imaginary eigenvalues). We take a two-parameter unfolding for such the system and show that in nonresonance case there are countable sets of multiround homoclinic orbits to p. We also find families of periodic orbits, accumulating at homoclinic orbits.
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