Bifurcations of continuous dynamical systems under extreme and new transversality conditions

DOI10.1016/j.amc.2008.10.026zbMath1166.37019OpenAlexW1979172495MaRDI QIDQ1015778

J. Martínez

Publication date: 30 April 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.026

zbMATH Keywords

local bifurcationdegenerate conditions

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10)

Cites Work

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• Local bifurcations of continuous dynamical systems under higher order conditions
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Applications of centre manifold theory
• \(C^\infty\)-normal forms of local vector fields
• Normal form for families of Hamiltonian systems
• Discrete Dynamical Systems in Dimensions One and Two
• Properties of Center Manifolds
• Simplest Normal Forms of Hopf–Neimark–Sacker Bifurcations
• Normal Forms and Unfoldings for Local Dynamical Systems
• Elements of applied bifurcation theory

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