Reproducibility of a noisy limit-cycle oscillator induced by a fluctuating input [PDF]
, 2006 Reproducibility of a noisy limit-cycle oscillator driven by a random piecewise constant signal is analyzed. By reducing the model to random phase maps, it is shown that the reproducibility of the limit cycle generally improves when the phase maps are ...
Arai, Kensuke, Nagai, Ken, Nakao, Hiroya
core +2 more sources
Frontiers in Physics, 2022 Synchronization of traveling waves in two rings of FitzHugh–Nagumo neurons is studied. Coupling between neurons within each ring is dissipative, while one between rings is memristive. Complete synchronization of waves in identical rings in the presence of an initial phase shift between wave processes and partial synchronization of waves in the case of ...
I. A. Korneev +5 more
openaire +2 more sources
Monostable-Type Travelling Wave Solutions of the Diffusive FitzHugh-Nagumo-Type System in 𝐑𝑁
Abstract and Applied Analysis, 2012 This paper is concerned with monostable-type travelling wave solutions of the diffusive FitzHugh-Nagumo-type system (FHN) in 𝐑𝑁 for the two components 𝑢 and 𝑣.
Chih-Chiang Huang
doaj +1 more source
High-frequency effects in the FitzHugh-Nagumo neuron model [PDF]
, 2006 The effect of a high-frequency signal on the FitzHugh-Nagumo excitable model is analyzed. We show that the firing rate is diminished as the ratio of the high-frequency amplitude to its frequency is increased.
A. Ahlbom +7 more
core +2 more sources
Synchronization in heterogeneous FitzHugh-Nagumo networks with hierarchical architecture
, 2016 We study synchronization in heterogeneous FitzHugh-Nagumo networks. It is well known that heterogeneities in the nodes hinder synchronization when becoming too large. Here, we develop a controller to counteract the impact of these heterogeneities.
Fradkov, A. L. +3 more
core +1 more source
Complex partial synchronization patterns in networks of delay-coupled neurons [PDF]
, 2019 We study the spatio-temporal dynamics of a multiplex network of delay-coupled FitzHugh–Nagumo oscillators with non-local and fractal connectivities. Apart from chimera states, a new regime of coexistence of slow and fast oscillations is found.
Avetyan, M. +5 more
core +1 more source
Indentical synchronization in complete networks of reaction-diffusion equations of FitzHugh-Nagumo
Ho Chi Minh City Open University Journal of Science - Engineering and Technology, 2018 Synchronization is a ubiquitous feature in many natural systems and nonlinear science. This paper studies the synchronization in complete network consisting of n nodes.
Phan Van Long Em
doaj +1 more source
A third-order boundary value problem with one-sided Nagumo condition
Nonlinear Analysis: Theory, Methods & Applications, 2005 Abstract In this paper we present an existence and location result for the third-order separated boundary value problem u ‴ ( t ) = f ( t , u ( t ) , u ′ ( t ) , u ″ ( t ) ) , u ( a ) = A , u ″ ( a ) = 0 , u ″ ( b ) = 0 , where f : [ a
Grossinho, Maria do Rosário +2 more
openaire +3 more sources
Chimera states in brain networks: Empirical neural vs. modular fractal connectivity [PDF]
, 2018 This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 28, 045112 (2018) and may be found at https://doi.org/10.1063/1.5009812.Complex spatiotemporal ...
Chouzouris, Teresa +5 more
core +2 more sources
Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition [PDF]
Boundary Value Problems, 2013 Abstract In this paper, we establish the existence of multiple solutions to second-order differential equations with ϕ-Laplacian satisfying periodic, Dirichlet or Neumann boundary conditions. The right-hand side is a Carathéodory function satisfying a growth condition of Wintner-Nagumo type.
Noha El Khattabi +2 more
openaire +2 more sources