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A Bonhoeffer-van der Pol oscillator model of locked and non-locked behaviors of living pacemaker neurons

https://doi.org/10.1007/bf01185414
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Examination with a computer of how parameters changes and variabilities influence a model of oscillator entrainment
inferredcites →https://doi.org/10.1007/bf01836123openalex-snapshot
Presynaptic irregularity and pacemaker inhibition
inferredcites →https://doi.org/10.1016/0022-5193(67)90051-3openalex-snapshot
Biological rhythms and the behavior of populations of coupled oscillators
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Response characteristics of the BVP neuron model to periodic pulse inputs
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Bistability, period doubling bifurcations and chaos in a periodically forced oscillator
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Impulses and Physiological States in Theoretical Models of Nerve Membrane
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Interspike Interval Fluctuations in Aplysia Pacemaker Neurons
inferredcites →https://doi.org/10.1016/s0022-5193(84)80005-3openalex-snapshot
Periodic and non-periodic responses of a periodically forced Hodgkin-Huxley oscillator
inferredcites →https://doi.org/10.1085/jgp.32.1.69openalex-snapshot
ACTIVATION OF PASSIVE IRON AS A MODEL FOR THE EXCITATION OF NERVE
inferredcites →https://doi.org/10.1085/jgp.39.1.155openalex-snapshot
SYNAPTIC INHIBITION IN AN ISOLATED NERVE CELL
inferredcites →https://doi.org/10.1085/jgp.39.1.87openalex-snapshot
PROCESSES OF EXCITATION IN THE DENDRITES AND IN THE SOMA OF SINGLE ISOLATED SENSORY NERVE CELLS OF THE LOBSTER AND CRAYFISH
inferredcites →https://doi.org/10.1103/physreva.37.4060openalex-snapshot
Phase locking, period doubling, and chaotic phenomena in externally driven excitable systems
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Chaos in a Nonlinear Driven Oscillator with Exact Solution
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An Active Pulse Transmission Line Simulating Nerve Axon
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Transmembrane ion balance in slowly and rapidly adapting lobster stretch receptor neurones.
inferredcites →https://doi.org/10.1126/science.145.3627.61openalex-snapshot
Pacemaker Neurons: Effects of Regularly Spaced Synaptic Input
inferredcites →https://doi.org/10.1142/s0218127491000415openalex-snapshot
PERIODIC INHIBITION OF LIVING PACEMAKER NEURONS (I): LOCKED, INTERMITTENT, MESSY, AND HOPPING BEHAVIORS
inferredcites →https://doi.org/10.1142/s0218127491000646openalex-snapshot
PERIODIC INHIBITION OF LIVING PACEMAKER NEURONS (II): INFLUENCES OF DRIVER RATES AND TRANSIENTS AND OF NONDRIVEN POSTSYNAPTIC RATES

What points at this work

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

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inferred← citeshttps://doi.org/10.1007/bf00206238openalex-snapshot
Global bifurcation structure of a Bonhoeffer-van der Pol oscillator driven by periodic pulse trains
inferred← citeshttps://doi.org/10.1007/s11071-014-1240-5openalex-snapshot
Chaos disappearance in a piecewise linear Bonhoeffer–van der Pol dynamics with a bistability of stable focus and stable relaxation oscillation under weak periodic perturbation
inferred← citeshttps://doi.org/10.1016/0025-5564(94)00035-xopenalex-snapshot
The global bifurcation structure of the BVP neuronal model driven by periodic pulse trains
inferred← citeshttps://doi.org/10.1016/0303-2647(96)01644-9openalex-snapshot
Complex responses of living neurons to pacemaker inhibition: a comparison of dynamical models
inferred← citeshttps://doi.org/10.1016/0306-4522(95)00169-jopenalex-snapshot
Periodically modulated inhibition and its postsynaptic consequences—I. General features. Influence of modulation frequency
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inferred← citeshttps://doi.org/10.1016/j.chaos.2023.113465openalex-snapshot
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Analysis of mixed-mode oscillation-incrementing bifurcations generated in a nonautonomous constrained Bonhoeffer–van der Pol oscillator
inferred← citeshttps://doi.org/10.1016/j.physd.2018.07.004openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physd.2019.132152openalex-snapshot
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Nested mixed-mode oscillations, part II: Experimental and numerical study of a classical Bonhoeffer–van der Pol oscillator
inferred← citeshttps://doi.org/10.1016/j.physd.2022.133438openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0306-4522(98)00101-8openalex-snapshot
Periodically-modulated inhibition of living pacemaker neurons—III. The heterogeneity of the postsynaptic spike trains, and how control parameters affect it
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inferred← citeshttps://doi.org/10.1063/5.0056901openalex-snapshot
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inferred← citeshttps://doi.org/10.1093/ptep/ptw008openalex-snapshot
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inferred← citeshttps://doi.org/10.1093/ptep/pty065openalex-snapshot
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inferred← citeshttps://doi.org/10.1093/ptep/pty099openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.102.032209openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.53.6353openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.84.056209openalex-snapshot
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