Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2

DOI10.1088/0305-4470/39/50/001zbMath1151.37319OpenAlexW2034747258MaRDI QIDQ3418457

Ernesto Pérez-Chavela, Jaume Llibre, Montserrat Corbera

Publication date: 5 February 2007

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10854/2215

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27) Motion of charged particles (78A35) (n)-body problems (70F10) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (3)

GENERATION OF SYMMETRIC PERIODIC ORBITS BY A HETEROCLINIC LOOP FORMED BY TWO SINGULAR POINTS AND THEIR INVARIANT MANIFOLDS OF DIMENSIONS 1 AND 2 IN ℝ³ ⋮ Symmetric periodic orbits for the collinear charged 3-body problem ⋮ Symmetric periodic orbits near a heteroclinic loop in \(\mathbb R^3\) formed by two singular points, a semistable periodic orbit and their invariant manifolds

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