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Classification and Unfoldings of 1:2 Resonant Hopf Bifurcation
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Secondary Bifurcation in Nonlinear Diffusion Reaction Equations
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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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Singularities and Groups in Bifurcation Theory
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Singularities and Groups in Bifurcation Theory
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The Hopf Bifurcation and Its Applications
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Theory of Functional Differential Equations
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Functional Differential Equations
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Geometrical Methods in the Theory of Ordinary Differential Equations
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Hopf bifurcation at non-semisimple eigenvalues: a singularity theory approach
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Bifurcation of Periodic Orbits in 1:2 Resonance: A Singularity Theory Approach
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The 1:2 resonance withO(2) symmetry and its applications in hydrodynamics
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Regulation of a lumped parameter cantilever beam via internal resonance using nonlinear coupling enhancement
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Geometric Theory of Semilinear Parabolic Equations
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Direct bifurcation of a steady solution of the Navier-stokes equations into an invariant torus
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Classification and unfoldings of degenerate Hopf bifurcations
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Hopf bifurcation: The appearance of virtual periods in cases of resonance
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Hopf's Bifurcation Theorem and the Center Theorem of Liapunov with resonance cases
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Smooth functions invariant under the action of a compact lie group
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A Hopf's bifurcation theorem for nonsimple eigenvalues
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Hopf bifurcation at 1:1 resonance
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On matrices depending on parameters (Volume 26, 1971)
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ON MATRICES DEPENDING ON PARAMETERS
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Hopf-Hopf mode interactions with O(2) symmetry
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Hopf-steady-state mode interactions with 0(2) symmetry
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Hopf bifurcation with non-semisimple 1:1 resonance
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Hopf bifurcation at nonsemisimple eigenvalues
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The constrained Liapunov-Schmidt procedure and periodic orbits
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The unfolding and determinacy theorems for subgroups of 𝒜 and 𝒦
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On phase-locked motions associated with strong resonance
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The double Hopf bifurcation with 2:1 resonance
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UNFOLDING A DEGENERATE NONLINEAR OSCILLATOR: A CODIMENSION TWO BIFURCATION*
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CONJECTURES ON THE ROUTES TO TURBULENCE VIA BIFURCATIONS
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Bifurcations in Three-Dimensional Motions of Articulated Tubes, Part 1: Linear Systems and Symmetry
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Bifurcations in Three-Dimensional Motions of Articulated Tubes, Part 2: Nonlinear Analysis
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Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields
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Periodic and Steady-State Mode Interactions Lead to Tori
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Infinite Period Bifurcation and Global Bifurcation Branches
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Quasiperiodic Bifurcation in Nonlinearly-Coupled Oscillators Near a Point of Strong Resonance
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Flame Propagation in Channels: Secondary Bifurcation to Quasi-Periodic Pulsations
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Stability and Bifurcations of Equilibria in a Multiple-Delayed Differential Equation
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Generic Hopf bifurcation in a class of integro-differential equations
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International Series of Numerical Mathematics
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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1:2 Internal resonance of coupled dynamic system with quadratic and cubic nonlinearities
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Classification of bifurcations for nonlinear dynamical problems with constraints
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Effects of constant excitation on local bifurcation
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The Andronov-Hopf Bifurcation with 2:1 Resonance
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Resonant 1:2 double Hopf bifurcation in an oscillator with delayed feedback
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Resonant double Hopf bifurcation in a diffusive Ginzburg–Landau model with delayed feedback
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Double Hopf bifurcation of coupled dissipative Stuart–Landau oscillators with delay
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Normal resonances in a double Hopf bifurcation
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On the persistence of quasi-periodic invariant tori for double Hopf bifurcation of vector fields
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Nonlinear analysis of a maglev system with time-delayed feedback control
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Numerical semi-global analysis of a 1:2 resonant Hopf–Hopf bifurcation
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Nonlinear oscillations in business cycle model with time lags☆
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Résonance 1 : 2 pour les champs de vecteurs réversibles
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A weakly nonlinear mechanism for mode selection in swirling jets
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1:2 Internal Resonance of Coupled Dynamic System with Quadratic and Cubic Nonlinearities
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Resonant Hopf–Hopf Interactions in Delay Differential Equations
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Interactions between oscillatory modes near a 2:3 resonant Hopf-Hopf bifurcation
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An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
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A Degenerate 2:3 Resonant Hopf--Hopf Bifurcation as Organizing Center of the Dynamics: Numerical Semiglobal Results
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Population Dynamics in Networks of Izhikevich Neurons with Global Delayed Coupling
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An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
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The Main Parameters Affecting the Stability of Rotating Pretwisted Cylindrical Shells
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The Hopf -- Hopf bifurcation with 2:1 resonance: Periodic solutions and invariant tori
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