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Global instability in the elliptic restricted three body problem
Elliptic Restricted Three Body problem Arnold diffusion splitting of separatrices Melnikov integral
2015/9/25
The (planar) ERTBP describes the motion of a massless particle (a comet) under the gravitational field of two massive bodies (the primaries, say the Sun and Jupiter) revolving around their center of m...
DESTRUCTION OF INVARIANT CURVES IN THE RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM BY USING COMPARISON OF ACTION
INVARIANT CURVES RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM
2015/9/25
The classical principle of least action says that orbits of mechanical systems extremize action; an important subclass are those orbits that minimize action. In this paper we utilize this principle al...
THE METHOD OF SPREADING CUMULATIVE TWIST AND ITS APPLICATION TO THE RESTRICTED CIRCULAR PLANAR THREE BODY PROBLEM
SPREADING CUMULATIVE TWIST RESTRICTED CIRCULAR PLANAR THREE BODY PROBLEM
2015/9/25
The purpose of this paper is twofold. First we show that the dynamics ofa Sun-Jupiter-Comet system and under some simplifying assumptions has a semi-infiniteregion of instability. This is done by redu...
On Hausdorff dimension of oscillatory motions in three body problems
Hausdorff dimension oscillatory motions three body problems
2015/9/25
We show that for the Sitnikov example and for the restricted planar circular 3–body problem the set of oscillatory motions often has maximal Hausdorff dimension. Also, we construct Newhouse domains fo...
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions
Second kind integral equation Dirichlet problem Biharmonic equation
2015/7/14
A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on th...
Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations
Second order differential equation with p-Laplacian generalized Sturm-Liouville boundary value problem fixed point theorem in cone
2011/4/6
This paper is concerned with a non-homogeneous multi-point boundary value problem of second order differential equation with one-dimensional p-Laplacian. Using multiple fixed point theorems, sufficien...
On sums involving products of three binomial coefficients
Central binomial coefficients super congruences Catalan numbers
2011/1/21
In this paper we study congruences for sums of terms related to cubes of central binomial coefficients.
Visual evoked potentials' non linear adaptive filtering based on three layers perceptron
Adaptive filtering Averaging technique Multilayer Perceptron
2010/11/1
Single visual evoked potentials (VEP) are very weak and noisy signals. For this reason, powerful extraction tools are needed to improve their clinical use. In this paper, we present two methods for fi...
Three-dimensional Couette flow in a composite channel partially filled with a porous medium
Couette flow composite channel Brinkman porous medium
2010/11/1
The couette flow of a viscous fluid in a channel, partially filled with a porous medium has been analyzed. The lower part of the channel is occupied by a porous medium, while the upper part is occupie...
On a pseudo generalized system of Carlemann in three dimensions
Decomposition of operators Carleman system kinetc gas
2010/9/25
In this work, we propose to study a generalized problem called pseudo Carlemann system in three dimensions. We will use the decomposition of operators method , who cut the problem into two problems wh...
Stable Hamiltonian structures in dimension three are supported by open books
Stable Hamiltonian structures dimension open books
2011/2/22
In dimension three, (cooriented) contact structures are closely related to open books via the following results, the rst due to Thurston-Winkelnkemper [8]and the other ones due to Giroux [6]:(1) Ever...
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Elliptic systems measurable coefficients
2010/11/22
We study the $3 \times 3$ elliptic systems $\nabla (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f$, where the coefficients $a(x)$ and $b(x)$ are positive scalar functions that are measurable an...
We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kaehler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is bo...
On Three and Four Vicious Walkers
vicious walkers watermelon Catalan numbers Ballot numbers reflection principle
2014/6/3
We establish a reflection principle for three lattice walkers and use this principle to reduce the enumeration of configurations of three vicious walkers to that of configurations of two vicious walke...
Three dimensional seminumerical model to study heat flow in peripheral layers of elliptical shaped human limbs
Variational form Finite element method
2010/9/17
A number of attempts have been made to study heat flow in circular cross-section of human limbs. But almost no attempt has been reported in literature about study of heat flow in the tissue layers of ...