Author： Koltsova O.
Publisher： Springer Publishing Company
ISSN： 1072-3374
Source： Journal of Mathematical Sciences, Vol.128, Iss.2, 2005-07, pp. : 2787-2790
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We consider a real analytic Hamiltonian system with two degrees of freedom having a homoclinic orbit to a saddle-center equilibrium (two nonzero real and two nonzero imaginary eigenvalues). We take a two-parameter unfolding for such a system and show that in the nonresonance case, there are countable sets of multi-round homoclinic orbits to a saddle-center. We also find families of periodic orbits accumulating at homoclinic orbits. Bibliography: 6 titles.
Related content
Homoclinic solutions for a class of second order Hamiltonian systems
MATHEMATISCHE NACHRICHTEN, Vol. 288, Iss. 8-9, 2015-06 ,pp. :
Access to resources
Recommend
By Teramoto Hiroshi Toda Mikito Komatsuzaki Tamiki
Nonlinearity, Vol. 28, Iss. 8, 2015-08 ,pp. :