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Global bifurcations of phase-locked oscillators

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-6374-6_17openalex-snapshot
Bifurcations with Symmetry
inferredcites →https://doi.org/10.1007/978-1-4612-6374-6_24openalex-snapshot
A Mathematical Model of Two Cells Via Turing’s Equation
inferredcites →https://doi.org/10.1007/978-3-662-22492-2openalex-snapshot
The Geometry of Biological Time
inferredcites →https://doi.org/10.1007/bf00247751openalex-snapshot
Bifurcations in the presence of a symmetry group
inferredcites →https://doi.org/10.1007/bf01299293openalex-snapshot
Global bifurcation of waves
inferredcites →https://doi.org/10.1016/0022-0396(78)90041-4openalex-snapshot
The Fuller index and global Hopf bifurcation
inferredcites →https://doi.org/10.1016/0022-1236(78)90045-9openalex-snapshot
Bifurcation of zeroes of parametrized functions
inferredcites →https://doi.org/10.1016/0022-1236(79)90027-2openalex-snapshot
The homotopy of certain spaces of nonlinear operators, and its relation to global bifurcation of the fixed points of parametrized condensing operators
inferredcites →https://doi.org/10.1016/0022-5193(71)90154-8openalex-snapshot
Instability and dynamic pattern in cellular networks
inferredcites →https://doi.org/10.1016/s0304-0208(08)70966-6openalex-snapshot
Preface
inferredcites →https://doi.org/10.1090/s0002-9947-1978-0482913-0openalex-snapshot
A Hopf Global Bifurcation Theorem for Retarded Functional Differential Equations
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
inferredcites →https://doi.org/10.1111/j.1749-6632.1979.tb29474.xopenalex-snapshot
BIFURCATING WAVES*
inferredcites →https://doi.org/10.2307/2373851openalex-snapshot
Global Bifurcations of Periodic Orbits

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jdeq.1996.0009openalex-snapshot
Self-Sustained Oscillations in a Ring Array of Coupled Lossless Transmission Lines
inferred← citeshttps://doi.org/10.1006/jdeq.1996.3232openalex-snapshot
Asymptotic and Periodic Boundary Value Problems of Mixed FDEs and Wave Solutions of Lattice Differential Equations
inferred← citeshttps://doi.org/10.1006/jdeq.1998.3422openalex-snapshot
Hopf Bifurcations of Functional Differential Equations with Dihedral Symmetries
inferred← citeshttps://doi.org/10.1006/jdeq.2000.3779openalex-snapshot
Generic Hopf Bifurcation from Lines of Equilibria without Parameters
inferred← citeshttps://doi.org/10.1007/978-1-4471-1965-4_2openalex-snapshot
Identical Oscillator Networks with Symmetry
inferred← citeshttps://doi.org/10.1007/978-3-319-10777-6_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-3-319-10777-6_6openalex-snapshot
Application: Decoupling in Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-86458-2_11openalex-snapshot
Global Hopf Bifurcation in Reaction Diffusion Systems with Symmetry
inferred← citeshttps://doi.org/10.1007/bf02228940openalex-snapshot
Discrete waves and phase-locked oscillations in the growth of a single-species population over a patchy environment
inferred← citeshttps://doi.org/10.1007/bf02429852openalex-snapshot
The dynamics ofn weakly coupled identical oscillators
inferred← citeshttps://doi.org/10.1007/bf02827817openalex-snapshot
On reduced variational equations of coupled systems
inferred← citeshttps://doi.org/10.1007/s10114-005-0842-8openalex-snapshot
Pattern Formation and Continuation in a Trineuron Ring with Delays
inferred← citeshttps://doi.org/10.1007/s11071-011-0269-yopenalex-snapshot
Stability and Hopf bifurcation in a three-neuron unidirectional ring with distributed delays
inferred← citeshttps://doi.org/10.1016/0022-247x(88)90092-3openalex-snapshot
Stability analysis of synchronous oscillations in a weakly coupled integrodifferential system
inferred← citeshttps://doi.org/10.1016/0025-5564(95)00035-6openalex-snapshot
Spatially heterogeneous discrete waves in predator-prey communities over a patchy environment
inferred← citeshttps://doi.org/10.1016/j.cnsns.2014.08.004openalex-snapshot
Symmetric bifurcation analysis of synchronous states of time-delayed coupled Phase-Locked Loop oscillators
inferred← citeshttps://doi.org/10.1016/j.jde.2007.01.027openalex-snapshot
Stability of nonlinear waves in a ring of neurons with delays
inferred← citeshttps://doi.org/10.1016/j.neucom.2013.05.015openalex-snapshot
Stability and Hopf bifurcation in an unidirectional ring of n neurons with distributed delays
inferred← citeshttps://doi.org/10.1016/j.physd.2005.08.008openalex-snapshot
A mechanism of synchronization in interacting multi-cell genetic systems
inferred← citeshttps://doi.org/10.1016/j.physleta.2003.11.016openalex-snapshot
Stability of echo waves in linearly couple oregonators
inferred← citeshttps://doi.org/10.1016/s0096-3003(97)10087-xopenalex-snapshot
Global Hopf-bifurcation in a neural netlet
inferred← citeshttps://doi.org/10.1016/s0167-2789(01)00143-9openalex-snapshot
Dynamical behavior in linearly coupled Oregonators
inferred← citeshttps://doi.org/10.1016/s0167-2789(03)00159-3openalex-snapshot
Hopf bifurcating periodic orbits in a ring of neurons with delays
inferred← citeshttps://doi.org/10.1016/s0362-546x(97)00711-6openalex-snapshot
Theory and applications of Hopf bifurcations in symmetric functional differential equations
inferred← citeshttps://doi.org/10.1016/s0375-9601(99)00118-8openalex-snapshot
Remarks on multi-frequency oscillations in symmetrically coupled oscillators
inferred← citeshttps://doi.org/10.1016/s1468-1218(03)00040-3openalex-snapshot
Multiple slowly oscillating periodic solutions in coupled lossless transmission lines
inferred← citeshttps://doi.org/10.1017/s0308210500004248openalex-snapshot
Global continuation of nonlinear waves in a ring of neurons
inferred← citeshttps://doi.org/10.1063/1.165974openalex-snapshot
Symmetric patterns in linear arrays of coupled cells
inferred← citeshttps://doi.org/10.1080/02681119808806267openalex-snapshot
Rotating waves in rings of coupled oscillators
inferred← citeshttps://doi.org/10.1088/0951-7715/1/2/003openalex-snapshot
Hopf bifurcation with the symmetry of the square
inferred← citeshttps://doi.org/10.1088/0951-7715/18/5/027openalex-snapshot
Spatio-temporal patterns of nonlinear oscillations in an excitatory ring network with delay
inferred← citeshttps://doi.org/10.1088/0951-7715/23/12/012openalex-snapshot
Network periodic solutions: full oscillation and rigid synchrony
inferred← citeshttps://doi.org/10.1088/0951-7715/25/4/1045openalex-snapshot
Network periodic solutions: patterns of phase-shift synchrony
inferred← citeshttps://doi.org/10.1088/0951-7715/3/3/003openalex-snapshot
Three identical oscillators with symmetric coupling
inferred← citeshttps://doi.org/10.1088/0951-7715/4/3/014openalex-snapshot
Ponies on a merry-go-round in large arrays of Josephson junctions
inferred← citeshttps://doi.org/10.1088/0951-7715/9/2/016openalex-snapshot
Coupled cells with internal symmetry: I. Wreath products
inferred← citeshttps://doi.org/10.1088/0951-7715/9/2/017openalex-snapshot
Coupled cells with internal symmetry: II. Direct products
inferred← citeshttps://doi.org/10.1090/s0002-9947-98-02083-2openalex-snapshot
Symmetric functional differential equations and neural networks with memory
inferred← citeshttps://doi.org/10.1093/bioinformatics/bti392openalex-snapshot
Noise-induced cooperative behavior in a multicell system
inferred← citeshttps://doi.org/10.1093/imamat/hxl002openalex-snapshot
Non-linear waves in a ring of neurons
inferred← citeshttps://doi.org/10.1103/physreve.71.066211openalex-snapshot
Excitation functions of coupling
inferred← citeshttps://doi.org/10.1103/physrevlett.95.178103openalex-snapshot
Molecular Communication through Stochastic Synchronization Induced by Extracellular Fluctuations
inferred← citeshttps://doi.org/10.1103/physrevresearch.2.043261openalex-snapshot
Decoupled synchronized states in networks of linearly coupled limit cycle oscillators
inferred← citeshttps://doi.org/10.1109/jproc.2008.925448openalex-snapshot
Modeling and Analyzing Biological Oscillations in Molecular Networks
inferred← citeshttps://doi.org/10.1126/science.aav7932openalex-snapshot
Exotic states in a simple network of nanoelectromechanical oscillators
inferred← citeshttps://doi.org/10.1137/0146015openalex-snapshot
Patterns at Primary Hopf Bifurcations of a Plexus of Identical Oscillators
inferred← citeshttps://doi.org/10.1137/060666044openalex-snapshot
Symmetry and Symmetry-Breaking for a Wave Equation with Feedback
inferred← citeshttps://doi.org/10.1137/18m1186769openalex-snapshot
Synchrony and Antisynchrony for Difference-Coupled Vector Fields on Graph Network Systems
inferred← citeshttps://doi.org/10.1137/s0036141091217068openalex-snapshot
Splay-Phase Orbits for Equivariant Flows on Tori
inferred← citeshttps://doi.org/10.1142/s0218127400001018openalex-snapshot
GENERIC HOPF BIFURCATION FROM LINES OF EQUILIBRIA WITHOUT PARAMETERS III: BINARY OSCILLATIONS
inferred← citeshttps://doi.org/10.1142/s0218127406015362openalex-snapshot
COHERENT SYNCHRONIZATION IN LINEARLY COUPLED NONLINEAR SYSTEMS
inferred← citeshttps://doi.org/10.1142/s0218127411029306openalex-snapshot
STABILITY AND BIFURCATION FOR A CLASS OF TRI-NEURON NETWORKS WITH BIDIRECTIONALLY DELAYED CONNECTIONS AND SELF-FEEDBACK
inferred← citeshttps://doi.org/10.1142/s0218127499000067openalex-snapshot
BIFURCATIONS IN RING ARRAYS OF PHASE-BISTABLE SYSTEMS
inferred← citeshttps://doi.org/10.1142/s0218202509004005openalex-snapshot
PATTERN FORMATION IN A RING NETWORK WITH DELAY
inferred← citeshttps://doi.org/10.1216/rmjm/1181072301openalex-snapshot
The Effect of Delay and Diffusion on Spontaneous Symmetry Breaking in Functional Differential Equations
inferred← citeshttps://doi.org/10.15388/na.2009.14.4.14466openalex-snapshot
Stability and Hopf-Bifurcation Analysis of Delayed BAM Neural Network under Dynamic Thresholds
inferred← citeshttps://doi.org/10.2748/tmj/1178225339openalex-snapshot
Nonlinear oscillations in a discrete diffusive neutral logistic equation
inferred← citeshttps://doi.org/10.3390/e27050501openalex-snapshot
Network and Phase Symmetries Reveal That Amplitude Dynamics Stabilize Decoupled Oscillator Clusters
inferred← citeshttps://doi.org/10.48550/arxiv.math/0304453openalex-snapshot
Bifurcations without parameters: some ODE and PDE examples
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