Path-following methods in bifurcation problems

DOI10.1016/0167-2789(89)90269-8zbMath0667.34042OpenAlexW2067046573MaRDI QIDQ1117378

S. H. Smith

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90269-8

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Proceedings, conferences, collections, etc. pertaining to ordinary differential equations (34-06) Proceedings, conferences, collections, etc. pertaining to partial differential equations (35-06)

Related Items (3)

Nonlinear science -- the impact of biology ⋮ Method for the global analysis of non-linear parametrized systems ⋮ Accelerated Molecular Statics Based on Atomic Inertia Effect

Uses Software

• AUTO
• AUTO-86
• ENTWIFE

Cites Work

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• On the Error Behavior of the Reduced Basis Technique for Nonlinear Finite Element Approximations
• Deflation Techniques and Block-Elimination Algorithms for Solving Bordered Singular Systems
• Local Error Estimates for Parametrized Nonlinear Equations
• Estimation of the Error in the Reduced Basis Method Solution of Nonlinear Equations
• Symmetry and Stability in Taylor-Couette Flow
• Primary and secondary bifurcations in the Couette-Taylor problem
• On the Creation, Growth and Extinction of Oscillatory Solutions for a Simple Pooled Chemical Reaction Scheme
• A New Algorithm for the Numerical Approximation of an Invariant Curve
• Numerical Determination of an Emanating Branch of Hopf Bifurcation Points in a Two-Parameter Problem
• Non-linear symmetrical systems
• A Pseudo-Arclength Continuation Method for Nonlinear Eigenvalue Problems
• Hopf bifurcation in the presence of symmetry

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