The orbit structure of the Hopf bifurcation problem

DOI10.1016/0022-0396(75)90046-7zbMath0352.34045OpenAlexW1987173293MaRDI QIDQ1235823

Neil Fenichel

Publication date: 1975

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90046-7

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34C99)

Related Items

The uniqueness of normal forms via Lie transforms and its applications to Hamiltonian systems ⋮ Bifurcation and stability of n T-periodic solutions branching from T-periodic solutions at points of resonance ⋮ Bifurcation of higher dimensional Tori ⋮ Inertial manifolds and normal hyperbolicity ⋮ Bifurcation of an attracting invariant circle: a Denjoy attractor ⋮ Exponential dichotomies and Melnikov functions for singularly perturbed systems

Cites Work

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• On the nature of turbulence
• Stability of bifurcating solutions by Leray-Schauder degree
• Some Properties of Differentiable Varieties and Transformations
• A mathematical example displaying features of turbulence

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