PERIODIC ORBITS NEAR A HETEROCLINIC LOOP FORMED BY ONE-DIMENSIONAL ORBIT AND A TWO-DIMENSIONAL MANIFOLD: APPLICATION TO THE CHARGED COLLINEAR THREE-BODY PROBLEM

DOI10.1142/S0218127407018312zbMath1141.37307OpenAlexW1972364864MaRDI QIDQ3510228

Jaume Llibre, Daniel Paşca

Publication date: 2 July 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407018312

Mathematics Subject Classification ID

Three-body problems (70F07) Nonlinear dynamics in mechanics (70K99) Motion of charged particles (78A35) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Cites Work

• A restricted charged four-body problem
• Triple collision in the collinear three-body problem
• THE RHOMBOIDAL CHARGED POUR BODY PROBLEM
• GLOBAL BEHAVIOR OF THE CHARGED ISOSCELES THREE-BODY PROBLEM