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Coupled Van der Pol oscillators ? A model of excitatory and inhibitory neural interactions

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What this work says

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

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Model of brain rhythmic activity
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A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
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Performance of a model for a local neuron population
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Nonlinear problems in random theory
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Nonlinear oscillations and electroencephalography
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Biological rhythms and the behavior of populations of coupled oscillators
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Ensemble entrainment of self-sustaining oscillators: a possible application to neural signals
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Mass action in the nervous system
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Biological Oscillators: their Mathematical Analysis
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Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons
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Progress in Brain Research
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Models of Neuronal Populations: The Basic Mechanisms of Rhythmicity
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Nonlinear Problems in Random Theory
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LXXXV. On oscillation hysteresis in a triode generator with two degrees of freedom
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Internal Resonance in Circuits Containing Nonlinear Resistance
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Analytical solution of large numbers of mutually coupled nearly sinusoidal oscillators
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Mode analysis of a multimode ladder oscillator
inferredcites →https://doi.org/10.1109/tcs.1976.1084184openalex-snapshot
Stability of entrainment conditions for a particular form of mutually coupled Van der Pol oscillators
inferredcites →https://doi.org/10.1109/tcs.1976.1084257openalex-snapshot
Mode analysis of a two-dimensional low-pass multimode oscillator
inferredcites →https://doi.org/10.1109/tcs.1978.1084380openalex-snapshot
Mode analysis of a ring of a large number of mutually coupled van der Pol oscillators
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Simultaneous Oscillations in Oscillators
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Distributed multimode oscillators of one and two spatial dimensions
inferredcites →https://doi.org/10.1146/annurev.bb.01.060172.001301openalex-snapshot
Linear Analysis of the Dynamics of Neural Masses

What points at this work

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

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Analysis of Complex Partial Seizure Using Non-linear Duffing Van der Pol Oscillator Model
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Gross Electrocortical Activity as a Linear Wave Phenomenon, with Variable Temporal Damping
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Dynamics of two coupled van der Pol oscillators with strongly nonlinear coupling
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Fluctuations of steady-state VEPs: interaction of driven evoked potentials and the EEG
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Repertoire of dynamical states in dissimilarly coupled Van der Pol oscillators
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Dynamical analysis of the FitzHugh–Nagumo oscillations through a modified Van der Pol equation with fractional-order derivative term
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Van der Pol equation with sine nonlinearity: dynamical behavior and real time control to a target trajectory
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An Experimental Investigation of Coupled van der Pol Oscillators
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A Note on the Asymptotic Stability of Periodic Solutions of Autonomous Differential Equations
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A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
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Coupled Oscillatory Systems with 𝔻4 Symmetry and Application to van der Pol Oscillators
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Death Behavior of Mean-Field Coupled van der Pol Oscillators Induced by Time-Delayed Feedback
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