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The heart as a system of coupled nonlinear 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/10.1002/jobm.19810211028openalex-snapshot
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Strange attractors and chaotic motions of dynamical systems
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Elektrische Stimulation des Herzens
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Konventionelle und intrakardiale Elektrokardiographie
inferredcites →https://doi.org/10.1007/978-3-662-22492-2openalex-snapshot
The Geometry of Biological Time
inferredcites →https://doi.org/10.1007/bf00276130openalex-snapshot
On cardiac arrythmias: AV conduction block
inferredcites →https://doi.org/10.1007/bf00319975openalex-snapshot
Model of bidirectional interaction between myocardial pacemakers based on the phase response curve
inferredcites →https://doi.org/10.1007/bf00336729openalex-snapshot
Difference equation model of the entrainment of myocardial pacemaker cells based on the phase response curve
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/10.1016/0002-8703(64)90371-0openalex-snapshot
A computer model of atrial fibrillation
inferredcites →https://doi.org/10.1016/0375-9601(78)90004-xopenalex-snapshot
Stroboscopic phase portrait and strange attractors
inferredcites →https://doi.org/10.1016/b978-0-12-547350-7.x5001-9openalex-snapshot
Biological Oscillators: their Mathematical Analysis
inferredcites →https://doi.org/10.1038/261459a0openalex-snapshot
Simple mathematical models with very complicated dynamics
inferredcites →https://doi.org/10.1080/14786441108564652openalex-snapshot
LXXII.The heartbeat considered as a relaxation oscillation, and an electrical model of the heart
inferredcites →https://doi.org/10.1103/revmodphys.53.655openalex-snapshot
Strange attractors and chaotic motions of dynamical systems
inferredcites →https://doi.org/10.1113/jphysiol.1962.sp006849openalex-snapshot
A modification of the Hodgkin—Huxley equations applicable to Purkinje fibre action and pacemaker potentials
inferredcites →https://doi.org/10.1113/jphysiol.1975.sp011080openalex-snapshot
Reconstruction of the electrical activity of cardiac Purkinje fibres.
inferredcites →https://doi.org/10.1126/science.7313693openalex-snapshot
Phase Locking, Period-Doubling Bifurcations, and Irregular Dynamics in Periodically Stimulated Cardiac Cells
inferredcites →https://doi.org/10.1143/ptp.61.54openalex-snapshot
Stroboscopic Phase Portrait of a Forced Nonlinear Oscillator
inferredcites →https://doi.org/10.1515/zna-1977-1204openalex-snapshot
Invariant Distributions and Stationary Correlation Functions of One-Dimensional Discrete Processes
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Simulated Sinoatrial Exit Blocks Explained by Circle Map Analysis
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Nonlinear Oscillations in the Conduction System of the Heart – A Model
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Iteration of the Human Atrioventricular (AV) Nodal Recovery Curve Predicts Many Rhythms of AV Block
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Mixed-Mode Oscillation Synchronization in Coupled Oscillators
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Modeling of Heartbeat Dynamics with a System of Coupled Nonlinear Oscillators
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Regular and chaotic behaviour of cardiac cells stimulated at frequencies between 2 and 20 Hz
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Global bifurcations of a periodically forced nonlinear oscillator
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Fibrillation of a cardiac region and the tachycardia mode of a two-oscillator system
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Bifurcations in a system of two identical diffusion-coupled relaxational brusselators
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Painlevé analysis and integrability of two-coupled non-linear oscillators
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Mathematical Explanations in Evolutionary Biology or Naturalism? A Challenge for the Statisticalist
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Universality and self-similarity in the bifurcations of circle maps
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Second-order consensus of multi-agent systems with nonlinear dynamics over random switching directed networks
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The AV synchrogram: A novel approach to quantify atrioventricular coupling during atrial arrhythmias
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Global pulse synchronization of chaotic oscillators through fast-switching: theory and experiments
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A heterogeneous coupled oscillator model for simulation of ECG signals
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Master–slave synchronization of continuously and intermittently coupled sampled-data chaotic oscillators
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Impulsive consensus algorithms for vector second-order Lipschitz nonlinear multi-agent systems using only velocity regulation
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New conditions on synchronization of networks of linearly coupled dynamical systems with non-Lipschitz right-hand sides
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Rhythm synchronization and chaotic modulation of coupled Van der Pol oscillators in a model for the heartbeat
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Six decades of the FitzHugh–Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines
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Respiratory sinus arrhythmia from two coupled pacemakers
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Collective behavior in a chain of van der Pol oscillators with power-law coupling
inferred← citeshttps://doi.org/10.1063/1.2405128openalex-snapshot
Nonlinear oscillator model reproducing various phenomena in the dynamics of the conduction system of the heart
inferred← citeshttps://doi.org/10.1080/00036819508840343openalex-snapshot
Driven oscillators in modelling of heart dynamics
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Characterization of rate and regularity of ventricular response during atrial tachyarrhythmias. Insight on atrial and nodal determinants
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Dynamics of Coupled Thermoacoustic Oscillators Under Asymmetric Forcing
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Pseudoreflection from interface between two oscillatory media: Extended driver
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Network dynamics for optimal compressive-sensing input-signal recovery
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Synchronization of time-varying networks under fast switching
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Stochastic synchronization over weighted directed networks
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Synchronization in Random Weighted Directed Networks
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Second-Order Consensus Seeking in Multi-Agent Systems With Nonlinear Dynamics Over Random Switching Directed Networks
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Universal Bifurcations and the Classification of Cardiac Arrhythmiasa
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Effect of spontaneous movement on respiration in preterm infants
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Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies
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Synchronization in Multilayer Networks: When Good Links Go Bad
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MODEL OF CARDIAC TISSUE AS A CONDUCTIVE SYSTEM WITH INTERACTING PACEMAKERS AND REFRACTORY TIME
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Simulation of Heartbeat Dynamics: A Nonlinear Model
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A Model of Two Nonlinear Coupled Oscillators for the Study of Heartbeat Dynamics
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Nodal recovery, dual pathway physiology, and concealed conduction determine complex AV dynamics in human atrial tachyarrhythmias
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Dynamics of AV coupling during human atrial fibrillation: role of atrial rate
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The primacy of rhythm: how discrete actions merge into a stable rhythmic pattern
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Timing and Phase Locking in Cascade Juggling
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Community Structure and Multi-Modal Oscillations in Complex Networks
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