The evolution of the stable and unstable manifold of an equilibrium point

DOI10.1023/A:1008387507657zbMath0936.70016OpenAlexW2121753428MaRDI QIDQ1288676

Kenneth R. Meyer

Publication date: 18 May 2000

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

Full work available at URL: https://doi.org/10.1023/a:1008387507657

zbMATH Keywords

eigenvaluesparameterpolar coordinateslinearized systemHamiltonian system with two degrees of freedomSokol'skij normal form of Hamiltonian

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (3)

The evolution of invariant manifolds in Hamiltonian-Hopf bifurcations ⋮ \(n\)-dimensional stable and unstable manifolds of hyperbolic singular point ⋮ A discussion on the coexistence of heteroclinic orbit and saddle foci for third-order systems

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