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Periodic pulsatile stimulation of a nonlinear oscillator
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4612-1140-2openalex-snapshot
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Geometric Theory of Dynamical Systems
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A One-Variable Map Analysis of Bursting in the Belousov-Zhabotinskii Reaction
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Continuation of Arnold Tongues in Mathematical Models of Periodically Forced Biological Oscillators
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The Geometry of Biological Time
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On cardiac arrythmias: AV conduction block
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Global bifurcations of a periodically forced nonlinear oscillator
inferredcites →https://doi.org/10.1007/bf02154750openalex-snapshot
Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
inferredcites →https://doi.org/10.1007/bfb0085359openalex-snapshot
Mesure de Lebesgue et Nombre de Rotation
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Initiation of synchronous mitosis in Physarum polycephalum
inferredcites →https://doi.org/10.1016/0022-5193(80)90345-8openalex-snapshot
Unstable dynamics of a periodically driven oscillator in the presence of noise
inferredcites →https://doi.org/10.1016/0167-2789(83)90014-3openalex-snapshot
On the arithmetic of phase locking: Coupled neurons as a lattice on R2
inferredcites →https://doi.org/10.1016/0167-2789(85)90055-7openalex-snapshot
Universality and self-similarity in the bifurcations of circle maps
inferredcites →https://doi.org/10.1017/s0025557200071461openalex-snapshot
An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)
inferredcites →https://doi.org/10.1038/scientificamerican0576-74openalex-snapshot
Synchronous Fireflies
inferredcites →https://doi.org/10.1085/jgp.59.6.734openalex-snapshot
Dynamics of Encoding in a Population of Neurons
inferredcites →https://doi.org/10.1090/s0002-9947-1980-0580905-3openalex-snapshot
Chaotic Behavior in Piecewise Continuous Difference Equations
inferredcites →https://doi.org/10.1103/physreva.29.1348openalex-snapshot
Global bifurcations of a periodically forced biological oscillator
inferredcites →https://doi.org/10.1126/science.145.3627.61openalex-snapshot
Pacemaker Neurons: Effects of Regularly Spaced Synaptic Input
inferredcites →https://doi.org/10.1152/ajpregu.1984.246.3.r311openalex-snapshot
A theory for phase locking of respiration in cats to a mechanical ventilator
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Intracycle Relationship Between Successive Phases of the Respiration: A New Modelling Assumption
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Regular and chaotic behaviour of cardiac cells stimulated at frequencies between 2 and 20 Hz
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Unsupervised learning of arbitrarily shaped clusters using ensembles of Gaussian models
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The Wagon Wheel Illusions and models of orientation selection
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A Model for Mechano-Electrical Feedback Effects on Atrial Flutter Interval Variability
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Global bifurcation structure in periodically stimulated giant axons of squid
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Collective synchronization of pulse-coupled oscillators and excitable units
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The AV synchrogram: A novel approach to quantify atrioventricular coupling during atrial arrhythmias
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Growth of Heterostegina depressa under natural and laboratory conditions
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Arnold tongues in human cardiorespiratory systems
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Cardiac arrhythmias and circle maps−A classical problem
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Bifurcations And Rotation Numbers for Maps of The Circle Associated With Flows on The Torus And Models of Cardiac Arrhythmias
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Bifurcations in a simple hydraulic oscillator: the 'Tantalus' cup'
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Predicting Perception of the Wagon Wheel Illusion
inferred← citeshttps://doi.org/10.1103/physrevlett.130.028401openalex-snapshot
Rhythms from Two Competing Periodic Sources Embedded in an Excitable Medium
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Self-organization of pulse-coupled oscillators with application to clustering
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Clustering fuzzy sets with application to image database categorization
inferred← citeshttps://doi.org/10.1109/icdm.2001.989511openalex-snapshot
A synchronization based algorithm for discovering ellipsoidal clusters in large datasets
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Segmentation of 3D Objects Using Pulse-Coupled Oscillator Networks
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Projection and visualization based on synchronization of coupled oscillators
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Frequency-based model of memory in neural networks
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Clustering based on synchronization of pulse-coupled oscillators
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Unsupervised learning of arbitrarily shaped clusters with application to image database categorization
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Synchronization of Pulse-Coupled Biological Oscillators
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Shared Inputs, Entrainment, and Desynchrony in Elliptic Bursters: From Slow Passage to Discontinuous Circle Maps
inferred← citeshttps://doi.org/10.1142/s021812741630007xopenalex-snapshot
Periodic Forcing of a 555-IC Based Electronic Oscillator in the Strong Coupling Limit
inferred← citeshttps://doi.org/10.1152/ajpheart.00228.2012openalex-snapshot
Nodal recovery, dual pathway physiology, and concealed conduction determine complex AV dynamics in human atrial tachyarrhythmias
inferred← citeshttps://doi.org/10.1152/ajpheart.00726.2014openalex-snapshot
Dynamics of AV coupling during human atrial fibrillation: role of atrial rate
inferred← citeshttps://doi.org/10.33915/etd.4141openalex-snapshot
Dynamics and mechanism studies of nonlinear chemical systems
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Phase response to arbitrary perturbations: Geometric insights and resetting surfaces
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