Complex regimes in electronic neuron-like oscillators with sigmoid coupling

Egorov, Nikita; Sysoev, Ilya V.; Ponomarenko, V. I.; Sysoeva, Marina V.

doi:10.1016/j.chaos.2022.112171

Cited by 12 publications

(6 citation statements)

References 29 publications

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“…The number of neurons examined in this study increased four times compared to [25]. This shows the scaling capabilities of the circuit proposed in [25].…”

Section: Conclusion and Discussionmentioning

confidence: 74%

“…The novelty of this study is as follows. First, the electronic model of an individual neuron was taken from [25], but a delay was introduced in the coupling, which simulates a real delay in a chemical synapse. The delay was implemented in the form of a tunable Bessel filter, where one of the resistors was replaced by a potentiometer.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…According to modern concepts, a very small network of hippocampal neurons can be responsible for it [34]. In contrary to microscopic silicon implementations of neurons [15], [35] which are preferred if the large ensemble is desired, the parameters of the macroscopic models [19], [25], [36] can be well controlled. This makes possible specifying parameters for a particular neuron type which is significant for microcircuit modeling.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…Further, a circuit of a complete FitzHugh-Nagumo neuron with two bifurcation parameters a and b and a circuit of a chemical synapse mathematically representing a sigmoid function were developed in [24]. In [25] it was shown that in two hardware complete FitzHugh-Nagumo neurons connected by sigmoid couplings, different scenarios of oscillation occurrence were possible, including saddle node cycle bifurcation, leading to the appearance of highly nonlinear limit cycles of large amplitude. Long-living transients have been detected near these bifurcations.…”

Section: Introductionmentioning

confidence: 99%

“…Here, we base our research on the individual neuron model developed in [25]. However, it does not completely satisfy our demands since the delay naturally occurs in the synapse when a signal is transmitted between the axon and the dendrite as a result of finite speed of the ion transport.…”

Section: Introductionmentioning

confidence: 99%

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Ring generator of neuron-like activity with tunable frequency

Egorov¹,

Sysoeva²,

Пономаренко³

et al. 2022

AND

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The aim of the work is to build a radiophysical generator of neuron-like activity with a frequency tunable in various ways, corresponding to modern ideas about the structure of the hippocampus and the generation of pathological epileptic rhythms in it. Methods. The elements of the generator are radio engineering implementations of the complete FitzHugh– Nagumo neuron and the electronic implementation of a chemical synapse in the form of a sigmoid function with a delayed argument. The simulation was carried out in the SPICE simulator. Results. Various ways of introducing delay into the coupling are considered: an ideal delay line, a phase filter with a rheostat, one tunable Bessel filter, and a sequence of non-tunable Bessel filters. For circuit implementation, the approach using a Bessel filter with a rheostat is recognized as optimal as a compromise between simplicity and minimization of signal distortion. The dependences of the oscillation frequency on the number of elements in the ring and the delay time are constructed. The bistability of generation regimes is studied for certain values of the parameters. The effect of inclusion of inhibitory elements (interneurons) in the circuit is considered. Conclusion. The constructed ring generator models the experimentally observed properties of the dynamics of epileptic discharge fundamental frequency in limbic epilepsy. It is able to reproduce the occurrence of oscillations as a result of external short-term driving, smooth and sharp frequency tuning, the coexistence of different modes with the same parameters.

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“…The number of neurons examined in this study increased four times compared to [25]. This shows the scaling capabilities of the circuit proposed in [25].…”

Section: Conclusion and Discussionmentioning

confidence: 74%

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Ring generator of neuron-like activity with tunable frequency

Egorov¹,

Sysoeva²,

Пономаренко³

et al. 2022

AND

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Chaotic discrete map of pulse oscillator dynamics with threshold nonlinear rate coding

Boriskov

2024

Nonlinear Dyn

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The study presents 1D discrete map (DM) to describe the dynamics of the oscillator with chaotic pulse position modulation (PPM). The model circuit has pulse voltage-controlled oscillator (PVCO) and feedback (FB) loop with a threshold of pulse rate coding, which performs nonretriggerable monostable multivibrator (MMV). DM is based on the analysis of this circuit using a simple approximation of the frequency modulation, which includes a threshold condition on the pulse period and sigmoid function of rate coding. The model circuit and DM demonstrate dynamic chaos in a wide range of control parameters. The transition to the chaos occurs by a jump either from a fixed point (tangent bifurcation), or from a limit cycle. An experimental (digital-analog) circuit of the chaotic pulse oscillator, in which the FB unit is MMV with a microcontroller (MC), is implemented. The relationship between the presented DM and the well-known sawtooth (Bernoulli) map (STM), widely used in engineering, is discussed.

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