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

DOI10.1142/S0218127407019056zbMath1185.37047MaRDI QIDQ3498794

Jaume Llibre, Montserrat Corbera

Publication date: 16 May 2008

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

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (1)

Symmetric periodic orbits near a heteroclinic loop in \(\mathbb R^3\) formed by two singular points, a semistable periodic orbit and their invariant manifolds

Cites Work

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• Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2
• On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
• SYMMETRIC PERIODIC ORBITS NEAR HETEROCLINIC LOOPS AT INFINITY FOR A CLASS OF POLYNOMIAL VECTOR FIELDS
• A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE

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