# Noise-driven neuromorphic tuned amplifier.

@article{Fanelli2017NoisedrivenNT, title={Noise-driven neuromorphic tuned amplifier.}, author={Duccio Fanelli and Francesco Ginelli and Roberto Livi and Niccol{\'o} Zagli and Cl{\'e}ment Zankoc}, journal={Physical review. E}, year={2017}, volume={96 6-1}, pages={ 062313 } }

We study a simple stochastic model of neuronal excitatory and inhibitory interactions. The model is defined on a directed lattice and internodes couplings are modulated by a nonlinear function that mimics the process of synaptic activation. We prove that such a system behaves as a fully tunable amplifier: the endogenous component of noise, stemming from finite size effects, seeds a coherent (exponential) amplification across the chain generating giant oscillations with tunable frequencies, a…

## 9 Citations

Emergence of synchronised and amplified oscillations in neuromorphic networks with long-range interactions

- Computer Science, PhysicsNeurocomputing
- 2021

It is found that adding long-range interactions can cause the onset of novel phenomena, as coherent and synchronous oscillations among all the interacting units, which can also coexist with the amplification of the signal.

Desynchronization and pattern formation in a noisy feed-forward oscillator network.

- Physics, BiologyPhysical review. E
- 2019

Noise assisted instability, ultimately vehiculated and amplified by the non-normal nature of the imposed couplings, eventually destabilizes also this second attractor, which yields spatiotemporal patterns, which cannot be anticipated by a conventional linear stability analysis.

Desynchronization and pattern formation in a noisy feedforward oscillators network

- 2018

We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturbed by the injection of a small additive noise, typically orders of magnitude smaller than the…

Non-normal amplification of stochastic quasicycles

- Physics, BiologyPhysical Review E
- 2018

Stochastic quasi-cycles for a two species model of the excitatory-inhibitory type, arranged on a triangular loop, are studied and the degree of inherent reactivity shown to facilitate the out-of-equilibrium exploration of the available phase space.

Coexistence of fast and slow gamma oscillations in one population of inhibitory spiking neurons

- Biology, Physics
- 2020

It is shown theoretically and numerically that a single inhibitory population can give rise to coexisting slow and fast gamma rhythms corresponding to collective oscillations of a balanced spiking network.

Resilience for stochastic systems interacting via a quasi-degenerate network.

- Computer Science, MedicineChaos
- 2019

Non-normality and quasidegenerate networks may, therefore, amplify the inherent stochasticity and so contribute to altering the perception of resilience, as quantified via conventional deterministic methods.

Efficient communication over complex dynamical networks: The role of matrix non-normality

- Medicine, Computer ScienceScience Advances
- 2020

Here, a framework is developed that enables us to examine how network structure, noise, and interference between consecutive packets jointly determine transmission performance in complex networks governed by linear dynamics.

Construction of quasipotentials for stochastic dynamical systems: An optimization approach.

- Medicine, MathematicsPhysical review. E
- 2018

This work provides a novel method for constructing landscapes for stochastic dynamical systems by extending a tool from control theory: the sum-of-squares method for generating Lyapunov functions, which provides an analytical polynomial expression for the potential landscape, in which the coefficients of the polyn coefficients are obtained via a convex optimization problem.

Patterns of non-normality in networked systems.

- Computer Science, MedicineJournal of theoretical biology
- 2019

Non-normality promotes the emergence of patterns in cases where a classical linear analysis would not predict them, and relies on the fact that non-normal networks are pervasively found, motivating the general interest of the mechanism here discussed.

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