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Global Hopf bifurcation of two-parameter flows

https://doi.org/10.1007/bf00278243
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Geometrical Methods in the Theory of Ordinary Differential Equations
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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A Mathematical Model of Two Cells Via Turing’s Equation
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Methods of Bifurcation Theory
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Stable Mappings and Their Singularities
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Geometrical Methods in the Theory of Ordinary Differential Equations
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Differential Topology
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Infinite Period Bifurcation in Simple Chemical Reactors
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Spatial patterns in coupled biochemical oscillators
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The Hopf Bifurcation Theorem in infinite dimensions
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Versal deformations of a singular point of a vector field on the plane in the case of zero eigenvalues
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Some periodicity criteria for functional differential equations
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The mathematical theory of diffusion and reaction in permeable catalysts
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Singularities of vector fields
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An index for the global continuation of relatively isolated sets of periodic orbits
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A periodic orbit index which is a bifurcation invariant
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Flows on S3 and R3 without periodic orbits
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Global Hopf bifurcation in porous catalysts
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The bifurcation behavior of tubular reactors
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Snakes: Oriented families of periodic orbits, their sources, sinks, and continuation
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Families of periodic orbits: Virtual periods and global continuability
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Fredholm vector fields and a transversality theorem
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Strange attractors in coupled reaction-diffusion cells
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Generic Bifurcations of Dynamical Systems††AMS (MOS) 1970 SUBJECT CLASSIFICATION: 58F99.
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Symmetry Breaking Instabilities in Dissipative Systems. II
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LECTURES ON BIFURCATIONS IN VERSAL FAMILIES
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Obstruction Theory and Multiparameter Hopf Bifurcation
inferredcites →https://doi.org/10.1090/s0273-0979-1983-15191-1openalex-snapshot
Cascades of period-doubling bifurcations: A prerequisite for horseshoes
inferredcites →https://doi.org/10.1137/0141010openalex-snapshot
Infinite Period Bifurcation and Global Bifurcation Branches
inferredcites →https://doi.org/10.1137/0515001openalex-snapshot
Multiple Bifurcation Problems of Codimension Two
inferredcites →https://doi.org/10.1137/0517065openalex-snapshot
Global Hopf Bifurcation for Volterra Integral Equations
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An index for global Hopf bifurcation in parabolic systems.
inferredcites →https://doi.org/10.21136/cmj.1975.101333openalex-snapshot
Generic properties of parametrized vectorfields. I
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On two-parametric systems of matrices and diffeomorphisms
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An Infinite Dimensional Version of Sard's Theorem
inferredcites →https://doi.org/10.2307/2373851openalex-snapshot
Global Bifurcations of Periodic Orbits
inferredcites →https://doi.org/10.4310/jdg/1214436225openalex-snapshot
Families of periodic orbits: local continuability does not imply global continuability

What points at this work

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

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Bifurcation and stability analysis of laminar flow in curved ducts
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Branch Inclusion in Generic Hopf Bifurcation: General Approach
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Time-Averaging under Fast Periodic Forcing of Parabolic Partial Differential Equations: Exponential Estimates
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Topological Bifurcation
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Interaction between fold and Hopf curves leads to new bifurcation phenomena
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Augmented Systems for Generalized Turning Points
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Numerical computation of origins for Hopf bifurcation in a two-parameter problem
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A quick multiparameter test for periodic solutions
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Multiplicity-Induced Oscillations in Porous Catalysts
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Multistability, Scaling, and Oscillations
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Eigenvalue Problems with the Symmetry of a Group and Bifurcations
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Substrate degradation by a mutualistic association of two species in the Chemostat
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Quadratic autocatalysis in a non-isothermal CSTR
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Interaction between fold and Hopf curves leads to new bifurcation phenomena
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Global dynamic bifurcation of local semiflows and nonlinear evolution equations
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Multi-parameter Hopf bifurcations of rimming flows
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Simplest bifurcation diagrams for monotone families of vector fields on a torus
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Numerical Determination of an Emanating Branch of Hopf Bifurcation Points in a Two-Parameter Problem
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Estimates of Periods and Global Continua of Periodic Solutions for State-Dependent Delay Equations
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Hopf bifurcation in a gene regulatory network model: Molecular movement causes oscillations
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Exponentially small splitting of homoclinic orbits of parabolic differential equations under periodic forcing
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Global Hopf bifurcation in networks with fast feedback cycles
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Global Hopf Bifurcation in the ZIP regulatory system
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