Hopf bifurcation in a symmetric configuration of transmission lines

DOI10.1016/j.nonrwa.2006.04.004zbMath1119.58008OpenAlexW2130711124MaRDI QIDQ2371009

Haibo Ruan, Zalman Balanov, Wiesław Krawcewicz

Publication date: 29 June 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.04.004

zbMATH Keywords

Hopf bifurcationneutral functional differential equationstransmission linesequivariant degree theory

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Related Items

On variational and topological methods in nonlinear difference equations, Twisted \(\Gamma \times \mathbb T^n\)-equivariant degree with \(n\)-parameters: computational formulae and applications, A short treatise on the equivariant degree theory and its applications, Applications of equivariant degree for gradient maps to symmetric Newtonian systems, Hopf Bifurcations for Neutral Functional Differential Equations with Infinite Delays, Symmetric Hopf bifurcation in implicit neutral functional differential equations: equivariant degree approach

Uses Software

• Maple

Cites Work

• Applied equivariant degree. II: Symmetric Hopf bifurcations of functional differential equations
• Applied equivariant degree. I: An axiomatic approach to primary degree
• Transformation groups
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations
• Theory and applications of partial functional differential equations
• Symmetric systems of van der Pol equations
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