Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Fitzhugh–Nagumo Equation
Date
2015-01-01
Author
Göktepe, Serdar
Metadata
Show full item record
Item Usage Stats
123
views
0
downloads
Cite This
The Fitzhugh–Nagumo equation (FHN) is a set of nonlinear differential equations that efficiently describes the excitation of cells through two variables.
URI
https://hdl.handle.net/11511/72758
Relation
Encyclopedia of Applied and Computational Mathematics
Collections
Department of Civil Engineering, Book / Book chapter
Suggestions
OpenMETU
Core
PICONE TYPE FORMULA FOR NON-SELFADJOINT IMPULSIVE DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS SOLUTIONS
ÖZBEKLER, ABDULLAH; Zafer, Ağacık (2010-01-01)
A Picone type formula for second order linear non-selfadjoint impulsive differential equations with discontinuous solutions having fixed moments of impulse actions is derived. Applying the formula, Leighton and Sturm-Picone type comparison theorems as well as several oscillation criteria for impulsive differential equations are obtained.
Duff-Inami-Pope-Sezgin-Stelle Bosonic Membrane Equations as an Involutory System
Satır, Ahmet (Oxford University Press (OUP), 1998-12-1)
Using Cartan's geometric formulation of partial diffential equations in the language of exterior differential forms, it is shown that bosonic membrane equations of Duff-Inami-Pope-Sezgin-Stelle (DIPSS) constitute an involutory system. The symmetries of reformulated DIPSS bosonic membrane equations are studied using three forms, elucidating in this way the previous results concerning Lie-point symmetries (Killing symmetries).
Asymptotic behavior of linear impulsive integro-differential equations
Akhmet, Marat; YILMAZ, Oğuz (Elsevier BV, 2008-08-01)
Asymptotic equilibria of linear integro-differential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integro-differential equations are established. A new Gronwall-Bellman type lemma for integro-differential inequalities is proved. An example is given to demonstrate the validity of one of the results.
An Application of the rayleigh-ritz method to the integral-equation representation of the one-dimensional schrödinger equation
Kaya, Ruşen; Taşeli, Hasan; Department of Mathematics (2019)
In this thesis, the theory of the relations between differential and integral equations is analyzed and is illustrated by the reformulation of the one-dimensional Schrödinger equation in terms of an integral equation employing the Green’s function. The Rayleigh- Ritz method is applied to the integral-equation formulation of the one-dimensional Schrödinger equation in order to approximate the eigenvalues of the corresponding singular problem within the desired accuracy. The outcomes are compared with those r...
Dynamics of numerical methods for cosymmetric ordinary differential equations
Govorukhin, VN; Tsybulin, VG; Karasözen, Bülent (2001-09-01)
The dynamics of numerical approximation of cosymmetric ordinary differential equations with a continuous family of equilibria is investigated. Nonconservative and Hamiltonian model systems in two dimensions are considered and these systems are integrated with several first-order Runge-Kutta methods. The preservation of symmetry and cosymmetry, the stability of equilibrium points, spurious solutions and transition to chaos are investigated by presenting analytical and numerical results. The overall performan...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. Göktepe,
Fitzhugh–Nagumo Equation
. 2015.