Results 81 to 90 of about 1,158 (197)

A new technique for characterizing nonlinear dynamical system behavior using self-organizing maps and clustering

Ain Shams Engineering Journal
Complex nonlinear dynamical systems are challenging to analyze due to the high dimensionality of interacting parameters, which can obscure the underlying behavioral patterns, and understanding the effect of varying parameter combinations is essential for
Adil Jhangeer, Tomas Martinovic, Haiqa Ehsan, Muhammad Zeerak Awan, Jan Martinovic   +4 more
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Bona-fide stochastic resonance in the stochastic FitzHugh-Nagumo neuron

, 2019
The phenomena of stochastic resonance (SR) have attracted much attention in studies of excitable systems, in particular the nervous systems, under noise.
Lee, SG, Kim, S, Shin, CW
core  

Examples of the nonexistence of a solution in the presence of upper and lower solutions

, 2003
Standard results for boundary value problems involving second-order ordinary differential equations ensure that the existence of a well-ordered pair of lower and upper solutions together with a Nagumo condition imply existence of a solution. In this note
Habets, Patrick, Pouso, RL
core   +1 more source

Error analysis of Crank–Nicolson-FEM for Fitzhugh–Nagumo system with Robin boundary conditions

Partial Differential Equations in Applied Mathematics
We investigate the convergence properties Crank–Nicolson scheme coupled with the finite element approximation of the Fitzhugh–Nagumo system. This model describes the dynamics of excitable media, such as nerve cells, and has applications in various fields, including neuroscience and cardiac modeling.
S. Dawe, M.S. Daoussa Haggar, L.M. Kemfouet Tsopze, M. Mbehou   +3 more
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Existence of three solutions for a higher-order boundary-value problem

Electronic Journal of Differential Equations, 2009
We consider a higher-order multi-point boundary-value problem with a nonlinear boundary condition. Sufficient conditions are obtained for the existence of three solutions.
John R. Graef, Lingju Kong, Qingkai Kong
doaj  

Solving Nonlinear Partial Differential Equations By Using Adomian Decomposition Method, Modified Decomposition Method And Laplace Decomposition Method

MANAS: Journal of Engineering, 2017
In this paper, we consider mostly the inhomogeneous Fitzhugh-Nagumo-Huxley equation with its initial value. Adomian Decomposition Method (ADM), Modified Decomposition Method (MDM) and Laplace Decomposition Method (LDM) are applied to this equation to ...
Ömer Faruh Gözükızıl, Hami Gündoğdu   +1 more
doaj  

Unbounded upper and lower solution method for third-order boundary-value problems on the half-line

Electronic Journal of Differential Equations, 2009
In this article, we prove the existence of unbounded upper and lower solutions of third-order boundary-value problems on the half-line. Here the Nagumo conditions play an important role in the nonlinear term involved in the second-order derivatives.
Chuanzhi Bai, Chunhong Li
doaj  

The Poincaré-Miranda theorem and Viability condition

, 2018
International audienceThe aim of this note is to discuss the relation between the assumptions of the Poincaré-Miranda theorem and the viability condition, first used by Nagumo to prove existence of a solution to ODEs under state constraints (viable ...
Hélène Frankowska, Frankowska, Hélène   +1 more
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Boundary and periodic value problems for systems of differential equations under Bernstein-Nagumo growth condition

Differential and Integral Equations, 1995
The author establishes several existence results for systems of second- order differential equations (1) \(x'' = f(t,x,x')\) subjected on the interval \(0,1\) to various boundary conditions (e.g. nonhomogeneous Dirichlet, Neumann, Sturm-Liouville conditions, periodic conditions).
openaire   +3 more sources

Existence of solutions for a fourth-order boundary-value problem

Electronic Journal of Differential Equations, 2008
In this paper, we use the lower and upper solution method to obtain an existence theorem for the fourth-order boundary-value problem $$displaylines{ u^{(4)}(t)=f(t,u(t),u'(t),u''(t),u'''(t)),quad ...
Yang Liu
doaj