Codimension-\(m\) bifurcation theorems applicable to the numerical verification methods

DOI10.1155/2013/420897zbMath1291.65367OpenAlexW2007620720WikidataQ58919025 ScholiaQ58919025MaRDI QIDQ2248676

Tadashi Kawanago

Publication date: 27 June 2014

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/420897

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Related Items (1)

The Hopf bifurcation theorem in Hilbert spaces for abstract semilinear equations

Cites Work

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• The Hopf bifurcation theorem in infinite dimensions
• A symmetry-breaking bifurcation theorem and some related theorems applicable to maps having unbounded derivatives
• Computer assisted proof to symmetry-breaking bifurcation phenomena in nonlinear vibration
• Error analysis of Galerkin's method for semilinear equations
• Bifurcation from simple eigenvalues
• Bifurcation from simple eigenvalues for several parameter families

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