Nested mixed-mode oscillations in the forced van der Pol oscillator (Q6131360)

scientific article; zbMATH DE number 7827637

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English	Nested mixed-mode oscillations in the forced van der Pol oscillator	scientific article; zbMATH DE number 7827637

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instance of

scholarly article

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title

Nested mixed-mode oscillations in the forced van der Pol oscillator (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

5 April 2024

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zbMATH Keywords

nested mixed-mode oscillations

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mixed-mode oscillation-incrementing bifurcations

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forced van der Pol oscillator

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cnsns.2024.107932

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cites work

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Qualitative analysis of the periodically forced relaxation oscillations

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Singular Hopf Bifurcation to Relaxation Oscillations

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Singular Hopf Bifurcation to Relaxation Oscillations. II

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Nested mixed-mode oscillations

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Nested mixed-mode oscillations. II: Experimental and numerical study of a classical Bonhoeffer-van der Pol oscillator

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Nested mixed-mode oscillations. III: Comparison of bifurcation structures between a driven Bonhoeffer-van der Pol oscillator and Nagumo-Sato piecewise-linear discontinuous one-dimensional map

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Nested mixed-mode oscillations in a canard-generating driven Bonhoeffer-van der Pol oscillator

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Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example

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Circle Maps and the Devil's Staircase in a Periodically Perturbed Oregonator

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Complex mixed-mode periodic and chaotic oscillations in a simple three-variable model of nonlinear system

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Stochastic mixed-mode oscillations in a three-species predator-prey model

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Period-doubling cascades of canards from the extended Bonhoeffer-van der Pol oscillator

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Mixed-mode oscillations and chaos from a simple second-order oscillator under weak periodic perturbation

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Complex mixed-mode oscillations in a Bonhoeffer-van der Pol oscillator under weak periodic perturbation

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Piecewise-linear Bonhoeffer–van der Pol dynamics explaining mixed-mode oscillation-incrementing bifurcations

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Experimental and Numerical Observation of Successive Mixed-Mode Oscillation-Incrementing Bifurcations in an Extended Bonhoeffer–van der Pol Oscillator

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Mixed mode oscillations in the Bonhoeffer-van der Pol oscillator with weak periodic perturbation

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Three time-scales in an extended Bonhoeffer-van der Pol oscillator

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A Geometric Model for Mixed-Mode Oscillations in a Chemical System

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Mixed-Mode Oscillations with Multiple Time Scales

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On a response characteristic of a mathematical neuron model

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Mathematical properties of responses of a neuron model

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Response characteristics of a neuron model to a periodic input

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Dynamics of Caianiello's equation

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On periodic responses of a mathematical neuron model

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Q3782469

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Mixed-mode oscillations from a constrained extended Bonhoeffer–van der Pol oscillator with a diode

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Bifurcation analysis of mixed-mode oscillations and Farey trees in an extended Bonhoeffer-van der Pol oscillator

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Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters

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Stern-Brocot trees in cascades of mixed-mode oscillations and canards in the extended Bonhoeffer-van der Pol and the FitzHugh-Nagumo models of excitable systems

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Jump-induced mixed-mode oscillations through piecewise-affine maps

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Symmetric coupling of multiple timescale systems with mixed-mode oscillations and synchronization

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Identifiers

DOI

10.1016/j.cnsns.2024.107932

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6131360