Generalization to differential-algebraic equations of Lyapunov-Schmidt type reduction at Hopf bifurcations

DOI10.1016/j.cnsns.2024.107833OpenAlexW4391055519WikidataQ129670568 ScholiaQ129670568MaRDI QIDQ6121830

Uwe Ehrenstein

Publication date: 27 February 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2024.107833

zbMATH Keywords

Hopf bifurcationdifferential-algebraic equationsLyapunov-Schmidt reductionnumerical algorithm

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

• A Hopf bifurcation theorem for singular differential-algebraic equations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Singularities and groups in bifurcation theory. Volume I
• Applications of centre manifold theory
• The index of general nonlinear DAEs
• The Hopf bifurcation theorem for quasilinear differential-algebraic equations.
• A bioeconomic differential algebraic predator-prey model with nonlinear prey harvesting
• An efficient center manifold technique for Hopf bifurcation of \(n\)-dimensional multi-parameter systems
• Local bifurcations and feasibility regions in differential-algebraic systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalization to differential-algebraic equations of Lyapunov-Schmidt type reduction at Hopf bifurcations