Distribution of periodic orbits and the homoclinic tangle

DOI10.1007/BF00054553zbMath0885.58067MaRDI QIDQ1363515

C. Polymilis, E. Grousouzakou, George Contopoulos

Publication date: 7 April 1998

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

periodic orbitsHamiltonian systemshomoclinic tangle

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

A review of the ``Third integral ⋮ Analytical invariant manifolds near unstable points and the structure of chaos ⋮ Some remarks on the abundance of stable periodic orbits inside homoclinic lobes ⋮ Topological degree theory and local analysis of area preserving maps ⋮ REACTION PATHS AND ELEMENTARY BIFURCATIONS TRACKS: THE DIABATIC ¹B₂-STATE OF OZONE

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Recycling of strange sets: I. Cycle expansions
• BURRAU'S PROBLEM OF THREE BODIES
• Unnamed Item

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