Numerical solution of Hopf bifurcation problems

DOI10.1002/mma.1670020205zbMath0448.65055OpenAlexW2059866123MaRDI QIDQ3894913

Helmut Weber

Publication date: 1980

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670020205

zbMATH Keywords

iterative algorithmperiodic solutionsmultiple shootingautonomous systemheart flutterHopf bifurcation problems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Ordinary differential operators (34L99) Physiological, cellular and medical topics (92Cxx)

Related Items (4)

Two new approaches to computing Hopf bifurcation problems ⋮ Multiple limit point bifurcation for Fredholm operators of non-zero index ⋮ New algorithms for the evaluation of complex bifurcation points in ordinary differential equations. A comparative numerical study ⋮ The computer-aided bifurcation analysis of predator-prey models

Cites Work

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• Numerische Behandlung von Verzweigunsproblemen bei gewöhnlichen Differentialgleichungen
• Numerical solution of bifurcation problems for ordinary differential equations
• Iterations, perturbations and multiplicities for nonlinear bifurcation problems
• A Shooting Algorithm for the Best Least Squares Solution of Two-Point Boundary Value Problems
• Accurate Difference Methods for Nonlinear Two-Point Boundary Value Problems
• The Application of Implicit Runge-Kutta and Collocation Methods to Boundary-Value Problems
• Generalized Green’s Matrices for Two-Point Boundary Problems
• The convergence of shooting methods

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