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The homoclinic tangle of a 1:2 resonance in a 2-D Hamiltonian system

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Publication:1405358
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DOI10.1023/A:1022070326091zbMath1027.37040OpenAlexW1610354236MaRDI QIDQ1405358

C. Polymilis, A. Dokoumetzidis, George Contopoulos

Publication date: 25 August 2003

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

Full work available at URL: https://doi.org/10.1023/a:1022070326091


zbMATH Keywords

homoclinic tangencyNewhouse phenomenontrellishomoclinic lobessecondary homoclinic points


Mathematics Subject Classification ID

Hamilton's equations (70H05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


Related Items (1)

Analytical invariant manifolds near unstable points and the structure of chaos






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