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HOMOCLINIC ORBITS OF THE FITZHUGH-NAGUMO EQUATION: THE SINGULAR-LIMIT
FITZHUGH-NAGUMO EQUATION SINGULAR-LIMIT
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2015/8/25
The FitzHugh-Nagumo equation has been investigated with a wide
array of different methods in the last three decades. Recently a version of
the equations with an applied current was analyzed by Champ...
On the inviscid limit of the Navier-Stokes equations
On the inviscid limit the Navier-Stokes equations
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2014/4/3
We consider the convergence in the L 2norm, uniformly in time, of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary conditions. We prove that if ...
Limit-circle invariance of non-symmetric discrete Hamiltonian systems
difference operator deficiency index non-symmetric
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2011/10/12
In this paper, we first give the related important Lemmas, and after discusses the non-symmetric discrete Hamiltonian system, and obtain the limit-circle invariance theorem. The main results contain c...
On the nonexistence of limit cycle for a type of plane differential system
differential systems singular points limit cycles}nonexistence
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2009/10/29
Through studying the singular points of the plane differential systems，the sufficientconditions of the nonexistence of Iimit cycle for the system are obtained by means of comparing theorem ，analyzing ...
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit
Spectral methods Boltzmann equation cut-off assumption Fokker-Planck-Landau equation
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2010/12/14
In this paper we study the numerical passage from the spatially homogeneous Boltzmann equation without cut-off to the Fokker-Planck-Landau equation in the socalled grazing collision limit.