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
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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
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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
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Boundary value problems for singular second order equations
Fixed Point Theory and Applications, 2018 We investigate strongly nonlinear differential equations of the type (Φ(k(t)u′(t)))′=f(t,u(t),u′(t)),a.e. on [0,T], $$\bigl(\Phi \bigl(k(t) u'(t) \bigr) \bigr)'= f \bigl(t,u(t),u'(t) \bigr), \quad\text{a.e. on } [0,T], $$ where Φ is a strictly increasing
Alessandro Calamai +2 more
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Mixed mode oscillations and phase locking in coupled FitzHugh-Nagumo model neurons
, 2018 We study the dynamics of a low-dimensional system of coupled model neurons as a step towards understanding the vastly complex network of neurons in the brain.
Aminzare, Zahra +3 more
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Anticipated synchronization and the predict-prevent control method in the FitzHugh-Nagumo model system [PDF]
, 2012 We study the synchronization region of two unidirectionally coupled, in a master-slave configuration, FitzHugh-Nagumo systems under the influence of external forcing terms.
Mayol, C., Mirasso, C. R., Toral, R.
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Existence Theorems on Solvability of Constrained Inclusion Problems and Applications
Abstract and Applied Analysis, 2018 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be a maximal monotone operator and C:X⊇D(C)→X⁎ be bounded and continuous with D(T)⊆D(C).
Teffera M. Asfaw
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Image Restoration Based on Stochastic Resonance in a Parallel Array of Fitzhugh–Nagumo Neuron
Complexity, 2020 The poor denoising effect for noisy grayscale images with traditional processing methods would be obtained under strong noise condition, and some image details would be lost.
Huage Zhang +4 more
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Nagumo conditions for systems of second-order differential equations
Journal of Mathematical Analysis and Applications, 1985 The existence of solutions for the boundary value problem \[ (1)\quad x''(t)+f(t,x(t),x'(t))=0,\quad t\in [a,b],\quad x(a)=A,\quad x(b)=B \] where x takes values in a Hilbert space H and f:[a,b]\(\times H\times H\times H\to H\) is a compact mapping, is studied.
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Positive Invariance Condition for Continuous Dynamical Systems Based on Nagumo Theorem
, 2022 In this paper, we obtain sufficient and necessary conditions of some classical convex sets as positively invariant sets for a continuous dynamical system, namely positive invariance conditions. The approach is based on Nagumo Theorem by deriving the tangent cones of these sets.
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