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[PDF] Top 20 Hopf bifurcation in a Mean-Field model of spiking neurons

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Hopf bifurcation in a Mean-Field model of spiking neurons

Hopf bifurcation in a Mean-Field model of spiking neurons

... potentials of each neuron are attracted to their common ...studied in a different model in [PDRDM19]. In this work, the mean-field equation is a 2D-ODE and ... Voir le document complet

40

State-dependent mean-field formalism to model different activity states in conductance based networks of spiking neurons

State-dependent mean-field formalism to model different activity states in conductance based networks of spiking neurons

... togheter in an excitatory-inhibitory network is ex- tremely ...proposed a method based on a semi-analytic approach [34] that can give satisfactory quantitative predictions also for net- works with ... Voir le document complet

12

Biologically realistic mean-field models of conductance-based networks of spiking neurons with adaptation

Biologically realistic mean-field models of conductance-based networks of spiking neurons with adaptation

... propose a first step towards a ”biologically realistic” mesoscopic model of neural populations by explicitly including non-linear ef- ...use a mean-field approach based on ... Voir le document complet

32

Exponential stability of the stationary distribution of a mean field of spiking neural network

Exponential stability of the stationary distribution of a mean field of spiking neural network

... Interacting Neurons. Journal of Statistical Physics, 158(4):866–902, ...with a singular mean-field ...semigroups. In Differential equations in ... Voir le document complet

33

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

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

... areas in vitro under optogenetic sinusoidal θ stimulation [ ...types of γ COs phase lock to the θ rhythm, similarly to what has been reported experimentally for the CA1 region of the hippocampus ... Voir le document complet

20

Stimulus sensitivity of a spiking neural network model

Stimulus sensitivity of a spiking neural network model

... transmission of information in their neural network model thanks to the dynamic range (expressed in decibel and mainly used for sound ...range of stimuli for which a perturbation ... Voir le document complet

9

Long time behavior of a mean-field model of interacting neurons

Long time behavior of a mean-field model of interacting neurons

... explicit in terms of ν, a, b and f (see (18) and ...with a Picard iteration scheme to “recover” the non-linear equation ...this mean-field problem, each of these ... Voir le document complet

40

COMPUTATION OF MEAN FIELD EQUILIBRIA IN ECONOMICS

COMPUTATION OF MEAN FIELD EQUILIBRIA IN ECONOMICS

... application of MFG. The model enables us to design and test an efficient algorithm that finds the corresponding optimal ...origins of the algorithm are in the field of quantum ... Voir le document complet

22

SELECTION OF EQUILIBRIA IN A LINEAR QUADRATIC MEAN-FIELD GAME

SELECTION OF EQUILIBRIA IN A LINEAR QUADRATIC MEAN-FIELD GAME

... limit of the equilibrium as N → ...included in the support of the ...is in fact much more general. Indeed, the idea of restoring uniqueness by means of a random forcing ... Voir le document complet

35

Capital distribution and portfolio performance in the mean-field Atlas model

Capital distribution and portfolio performance in the mean-field Atlas model

... behaviour of this asymptotic market; (3) recover capital distribution curves similar to those empirically observed; (4) carry out a detailed analysis of the performance of a portfolio ... Voir le document complet

33

A stochastic Mean-Field-Homogenization-based micro-mechanical model of unidirectional composites failure

A stochastic Mean-Field-Homogenization-based micro-mechanical model of unidirectional composites failure

... incremental-secant mean-field homogenization method with second statistical moments for elasto-visco-plastic composite materials, ...L.Noels, A large strain hyperelastic ... Voir le document complet

28

A Physics-Based Mean-Field Model for Ferrite Recovery and Recrystallization

A Physics-Based Mean-Field Model for Ferrite Recovery and Recrystallization

... Effect of the Cold-Rolling Ratio The model was then applied to the continuous heating experiments conducted by Moreno et ...the model, since the kinetics were measured by high energy x-ray ... Voir le document complet

13

Hopf Bifurcation and Chaos in Simplest Fractional-Order Memristor-based Electrical Circuit

Hopf Bifurcation and Chaos in Simplest Fractional-Order Memristor-based Electrical Circuit

... exhibits a periodic behaviour (Figure 6(b)), which is in agreement with the theoretical results; furthermore, the cycle created via Hopf bifurcation bifurcates in turn when β = ... Voir le document complet

16

Dynamics of Polymers: a Mean-Field Theory

Dynamics of Polymers: a Mean-Field Theory

... case of M S = M and n = 1 (density updates every time step) corresponds exactly to the full M-chain Langevin dynamics of ...not a mean-field theory as the computed densities and ... Voir le document complet

16

A Mean Field Theory of Nonlinear Filtering

A Mean Field Theory of Nonlinear Filtering

... For a more thorough discussion on the origins and the analysis these mod- els, we refer the reader to the research monograph of the first author ...applications in physics, in biology and ... Voir le document complet

40

Balanced Growth Path Solutions of a Boltzmann Mean Field Game Model for Knowledge Growth

Balanced Growth Path Solutions of a Boltzmann Mean Field Game Model for Knowledge Growth

... MEAN FIELD GAME MODEL FOR KNOWLEDGE GROWTH MARTIN BURGER, ALEXANDER LORZ, AND MARIE-THERESE WOLFRAM ...Abstract. In this paper we study balanced growth path solutions of a ... Voir le document complet

21

Designing a planar vector field to investigate the role of a slow variable in an enhanced mean-field model during general anesthesia.

Designing a planar vector field to investigate the role of a slow variable in an enhanced mean-field model during general anesthesia.

... and a down sampler to generate 10-second signals having 400Hz sampling ...vector field is able to predict the model behavior before performing any numerical ...#2 of Figure 3A that regardless ... Voir le document complet

5

Clarification and Complement to " Mean-Field Description and Propagation of Chaos in Networks of Hodgkin–Huxley and FitzHugh–Nagumo Neurons "

Clarification and Complement to " Mean-Field Description and Propagation of Chaos in Networks of Hodgkin–Huxley and FitzHugh–Nagumo Neurons "

... χ in the diffusion coefficient of the SDE for the processes x i and y i ...is a Langevin approximation to a stochastic hybrid, or piecewise deterministic, model of the ion ...is ... Voir le document complet

24

Mean Field Games

Mean Field Games

... Finally, in section 2, we consider a general class of stochastic differential games for a large number N of ...modelling of economical equilibrium with rational ...postulates ... Voir le document complet

29

The coalescing colony model: mean-field, scaling, and geometry

The coalescing colony model: mean-field, scaling, and geometry

... coalescing model where a ‘primary’ colony grows and randomly emits secondary colonies that spread and eventually coalesce with ...This model describes population proliferation in theoretical ... Voir le document complet

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