Memristor-based Gauss chaotic maps with hidden/self-exited dynamics

H Bao, Y Gu, J Sun, X Zhang, B Bao - Journal of Difference …, 2023 - Taylor & Francis
Discrete memristors can be used to improve the chaos complexity of existing chaotic maps
due to their special nonlinearities of internal states. In this paper, a unified memristor-based …

Periodic and chaotic dynamics in a map‐based neuron model

FL Trujillo, J Signerska‐Rynkowska… - … Methods in the …, 2023 - Wiley Online Library
Map‐based neuron models are an important tool in modeling neural dynamics and
sometimes can be considered as an alternative to usually computationally costlier models …

Stochastic sensitivity of attractors for a piecewise smooth neuron model

A Belyaev, T Ryazanova - Journal of Difference Equations and …, 2019 - Taylor & Francis
We consider a one-dimensional model of neural activity, given by a piecewise smooth
discontinuous map. Fold bifurcations as well as border collision bifurcations are described in …

Research on actual or industrial applications of difference equations: a chimerical task?

R Lozi - Journal of Difference Equations and Applications, 2023 - Taylor & Francis
Relationships between difference and differential equations are examined, to understand
why the applications of the first to problems of real life, are not as well developed as the …

Analysis of a map-based neuronal model

G Tigan, R Efrem - Journal of Difference Equations and …, 2020 - Taylor & Francis
Subthreshold oscillations in neurons are those oscillations which do not attain the critical
value of the membrane's voltage needed for triggering an action potential (a spike). Their …

[引用][C] Dynamics and bifurcations of a map-based neuron model