GEOMETRIC LIFT OF PATHS OF HAMILTONIAN EQUILIBRIA AND HOMOCLINIC BIFURCATION

DOI10.1142/S021812741250304XzbMath1258.34089OpenAlexW2019014823MaRDI QIDQ4908414

Thomas J. Bridges

Publication date: 5 March 2013

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

Full work available at URL: https://doi.org/10.1142/s021812741250304x

zbMATH Keywords

Hamiltonianhomoclinicsaddle-center

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Unnamed Item
• Degenerate relative equilibria, curvature of the momentum map, and homoclinic bifurcation
• The Krein signature, Krein eigenvalues, and the Krein Oscillation Theorem
• Stability predictions through a succession of folds
• Reduction, symmetry, and phases in mechanics
• On the number of unstable modes of an equilibrium
• On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems

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