Models of unidirectional propagation in heterogeneous excitable media

Alford, John G.

doi:10.1016/j.amc.2010.02.029

Cited by 2 publications

(3 citation statements)

References 23 publications

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“…During our investigations, we have found that for large values of the parameter , the system oscillates with the radian frequency ω 1 while it oscillates with the radian frequency ω 2 for small values of . With the stimulation current Is varies from 0 mA up to 200 mA, we have found the corresponding values of that satisfy the set of equations (16) and our result is presented in the graph of Figure 4a). The corresponding value of the frequency obtained from equation 15is plotted in Figure 4b).…”

Section: Limit Cycle Predictionmentioning

confidence: 64%

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Dynamics of an Array Mechanical Arms Coupled Each to a Fitzhugh-Nagumo Neuron

Nadine¹,

Bonaventure²,

Paul³

2021

Preprint

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In this work, an array of electromechanical systems driven by an electrical line of Fitzhugh-Nagumo neuron is analyzed. It is shown that a single electromechanical system can display different dynamical behaviors such as single and multiple pulse generation, transient chaos, permanent chaos, and antimonotonicity according to the system parameters. In the case of an array of the electromechanical system constituted of a series of coupled discrete Fitzhugh-Nagumo neuron, the numerical simulation shows that as the action potential flows in the discrete array, each electromechanical system executes a pulse-like motion coming at each resting state as the electrical signal passes the node. The electromechanical system analyzed can be seen as a model for multi-periodic actuation processes or a leg model in a millipede system. Furthermore, this line can also carry an envelope of action potential and can be useful for various kinds of information processing systems.

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Section: Limit Cycle Predictionmentioning

confidence: 64%

“…The curves of Figure 4 are obtained for α = 1 and the values of < 10 m have been considered. We can notice from the graph that, as the stimulation current increases, the value of that can satisfy the oscillation condition given by equation (16)…”

Section: Limit Cycle Predictionmentioning

confidence: 93%

Dynamics of an Array Mechanical Arms Coupled Each to a Fitzhugh-Nagumo Neuron

Nadine¹,

Bonaventure²,

Paul³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…It is also well known as a generalization of the Van der pol equations that are used to model the behavior of excitable systems [15]. The excitability represents the fact that from his resting state if a stimulus (small perturbation) is applied on the excitable cell for a brief time interval, the cell membrane voltage reaches a threshold value and generates an action potential before returning to rest [16,17,18]. Generally, in their dynamical behavior, Fitzhugh Nagumo displays a solution that converges to a fixed point or a limit cycle [19,20].…”

Section: Introductionmentioning

confidence: 99%