Detection of generic one parameter bifurcations of Hamiltonian equilibria

DOI10.1016/S0168-9274(98)00028-2zbMath0989.37043OpenAlexW2090871417MaRDI QIDQ1294532

Timo Eirola

Publication date: 29 July 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00028-2

zbMATH Keywords

Hamiltonian systemtest functionHamilton Hopf bifurcation

Mathematics Subject Classification ID

Uses Software

• AUTO
• LOCBIF

Cites Work

• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix
• Generic bifurcation of Hamiltonian systems with symmetry. With an appendix by Jerrold Marsden
• Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
• A normally elliptic Hamiltonian bifurcation
• Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
• Computing Hopf Bifurcations I
• Lectures on Mechanics
• Topological Properties of Subanalytic Sets
• Defining Functions for Multiple Hopf Bifurcations
• Elements of applied bifurcation theory
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