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Patterns at Primary Hopf Bifurcations of a Plexus of Identical Oscillators

https://doi.org/10.1137/0146015
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Outgoing claims: the papers this work cites, builds on, or argues with.

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A Mathematical Model of Two Cells Via Turing’s Equation
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The Geometry of Biological Time
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Global bifurcations of phase-locked oscillators
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Bifurcation analysis of reaction-diffusion equations—III. Chemical oscillations
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Bifurcation of periodic motions in two weakly coupled van der Pol oscillators
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Snakes: Oriented families of periodic orbits, their sources, sinks, and continuation
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Some global results for nonlinear eigenvalue problems
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Instability and dynamic pattern in cellular networks
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Two coupled neural oscillators as a model of the circadian pacemaker
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A three-oscillator model of the human circadian system controlling the core temperature rhythm and the sleep-wake cycle
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Nonlinear oscillations in power systems
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Interactions of Reaction and Diffusion in Open Systems
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Power System Control and Stability
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Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction
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Introduction to Matrix Analysis
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Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems
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Hopf bifurcation in the presence of symmetry
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Analytical Investigation of Dynamic Instability Occuring at Powerton Station
inferredcites →https://doi.org/10.1111/j.1749-6632.1979.tb29474.xopenalex-snapshot
BIFURCATING WAVES*
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Large Populations of Coupled Chemical Oscillators
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Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
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Global Bifurcations of Periodic Orbits

What points at this work

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Symmetry and Pattern Formation in Coupled Cell Networks
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Coupled nonlinear oscillators and the symmetries of animal gaits
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Modulation effects on the dynamics of a ring of three Duffing oscillators coupled unidirectionally with time-dependent damping
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Stability analysis of synchronous oscillations in a weakly coupled integrodifferential system
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Rotating waves and multistability in locomotion models
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Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays
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Dynamics of coexisting rotating waves in unidirectional rings of bistable Duffing oscillators
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Synchronous chaos in coupled oscillator systems
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Observation of a Fast Rotating Wave in Rings of Coupled Chaotic Oscillators
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Transient Periodic Rotating Waves and Fast Propagation of Synchronization in Linear Arrays of Chaotic Systems
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Synchronization of Pulse-Coupled Biological Oscillators
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Splay-Phase Orbits for Equivariant Flows on Tori
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Size instabilities in rings of chaotic synchronized systems
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Route to Chaos in a Unidirectional Ring of Three Diffusively Coupled Erbium-Doped Fiber Lasers
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