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Numerical Determination of an Emanating Branch of Hopf Bifurcation Points in a Two-Parameter Problem

https://doi.org/10.1137/0910041
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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The Hopf Bifurcation and Its Applications
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Elementary Stability and Bifurcation Theory
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Steady State and Periodic Solution Paths: their Bifurcations and Computations
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The Numerical Calculation of Cusps, Bifurcation Points and Isola Formation Points in Two Parameter Problems
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Numerical computation of origins for Hopf bifurcation in a two-parameter problem
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Determination of Bifurcation Points and Catastrophes for the Brusselator Model with Two Parameters
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A quick multiparameter test for periodic solutions
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Global Hopf bifurcation of two-parameter flows
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Periodic and aperiodic regimes in coupled dissipative chemical oscillators
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Numerical computation of branch points in nonlinear equations
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New algorithms for the evaluation of complex bifurcation points in ordinary differential equations. a comparative numerical study
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An algorithm for the computation of Hopf bifurcation points in comparison with other methods
inferredcites →https://doi.org/10.1016/0377-0427(89)90151-9openalex-snapshot
A note on the calculation of paths of Hopf bifurcations
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Interaction between fold and Hopf curves leads to new bifurcation phenomena
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Numerical analysis of parametrized nonlinear equations
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Symmetry Breaking Instabilities in Dissipative Systems. II
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The chemical basis of morphogenesis
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Infinite Period Bifurcation and Global Bifurcation Branches
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A Direct Method for the Computation of Hopf Bifurcation Points
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The Calculation of Turning Points of Nonlinear Equations
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Deflation Techniques and Block-Elimination Algorithms for Solving Bordered Singular Systems
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Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
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A locally parameterized continuation process
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Bifurcation and Stability Analysis of a One-Dimensional Diffusion-Autocatalytic Reaction System

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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