TY - JOUR
T1 - Periodic orbits near a heteroclinic loop formed by one-dimensional orbit and a two-dimensional manifold: Application to the charged collinear three-body problem
AU - Llibre, Jaume
AU - Paşca, Daniel
PY - 2007/1/1
Y1 - 2007/1/1
N2 - This paper is devoted to the study of a type of differential systems which appear usually in the study of the Hamiltonian systems with two degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. AU these periodic orbits pass near to the total collision. Finally we apply these results to study the existence of periodic orbits in the charged collinear three-body problem. © World Scientific Publishing Company.
AB - This paper is devoted to the study of a type of differential systems which appear usually in the study of the Hamiltonian systems with two degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. AU these periodic orbits pass near to the total collision. Finally we apply these results to study the existence of periodic orbits in the charged collinear three-body problem. © World Scientific Publishing Company.
KW - Charged 3-body problem
KW - Heteroclinic loop
KW - Periodic orbits
UR - https://www.scopus.com/pages/publications/34548409007
U2 - 10.1142/S0218127407018312
DO - 10.1142/S0218127407018312
M3 - Article
SN - 0218-1274
VL - 17
SP - 2175
EP - 2183
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
ER -