Results 21 to 30 of about 943 (165)
Indentical synchronization in complete networks of reaction-diffusion equations of FitzHugh-Nagumo
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
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Semigroups generated by pseudo-contractive mappings under the Nagumo condition
This paper gives important results on existence on closed sets of a differential equation of type \(u'=Tu-u\) in Banach spaces. A weak tangency condition of Nagumo type is imposed. The operator \(T\) is demicontinuous and pseudo-contractive. Local as well as global solutions are investigated. Fixed points results are given as applications.
Hester, Anthony, Morales, Claudio H.
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Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition [PDF]
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
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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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
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Existence Theorems on Solvability of Constrained Inclusion Problems and Applications
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
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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Remote work, which enables employees to work from home, has emerged as a prominent working style in recent years. However, unlike traditional office environments where the ‘atmosphere of the space’ is naturally shared, remote work relies on screen‐based communication, making it challenging to convey this atmosphere.
Ariyasu Ando +5 more
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ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
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On radially symmetric solutions of the Neumann boundary value problem for the p-Laplace equation
The Neumann boundary value problem for the p-Laplace equation with a low order term that does not satisfy the Bernstein–Nagumo condition was studied. The solvability of the problem in the class of radially symmetric solutions was investigated. A class of
A. S. Tersenov, R. C. Safarov
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