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Universality theorems for coniguration spaces of planar linkages
Universality theorems coniguration spaces planar linkages
2015/10/14
Universality theorems for coniguration spaces of planar linkages;
NON-COLLISION SINGULARITIES IN THE PLANAR TWO-CENTER-TWO-BODY PROBLEM
PLANAR TWO-CENTER-TWO-BODY PROBLEM NON-COLLISION SINGULARITIES
2015/9/29
Statement of the main result. We study a two-center two-body problem.
Consider two xed centers Q1 and Q2 of masses m1 = m2 = 1 located at distance
from each other and two small particles Q3 and Q4...
First return and first hitting times, local times and
first intersection times are studied for planar finite horizon Lorentz
processes with a periodic configuration of scatte...
LIMIT THEOREMS FOR LOCALLY PERTURBED PLANAR LORENTZ PROCESSES
LOCALLY PERTURBED PLANAR PROCESSES
2015/9/29
Modify the scatterer conguration of a planar, nitehorizon Lorentz process in a bounded domain. Sinai asked in
1981 whether for the diffusively scaled variant of the modied
process convergence to Bro...
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...
The absence of efficient dual pairs of spanning trees in planar graphs
planar graphs cells
2015/8/26
A spanning tree T in a finite planar connected graph G determines a dual spanning tree T* in the dual graph G* such that T and T* do not intersect. We show that it is not always possible to find T in ...
Our motivation for studying this problem is threefold:
(i) When one fixes r = m = 0, the resulting two parameter family is a normal
form for a codimension two bifurcation within the class of planar ...
Phase Portraits of Planar Vector Fields: Computer Proofs
Computer Proofs Planar Vector Fields
2015/8/25
This paper presents an algorithm for computer veri cation of the
global structure of structurally stable planar vector elds. Constructing
analytical proofs for the qualitative properties of phase p...
Non-Planar Fronts in Boussinesq Reactive Flows
Non-Planar Fronts Boussinesq Reactive Flows
2015/7/14
We consider the reactive Boussinesq equations in a slanted cylinder, with zero stress boundary conditions and arbitrary Rayleigh number. We show that the equations have non-planar traveling front solu...
Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model
planar polygon models new SAW model
2015/3/19
Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model.
A continuum of periodic solutions to the planar four-body problem with various choices of masses
periodic solutions planar four-body problem various choices of masses
2015/3/18
A continuum of periodic solutions to the planar four-body problem with various choices of masses.
The planar circular restricted three body problem in the lunar case
The planar circular restricted three body problem lunar case
2015/3/18
The course is a short introduction to some aspects of the simplest non-integrable three body problem, the study of which goes back to the seminal works of Hill, Poincar′e and Birkhoff. After Goursat (...
Inversion of circular means and the wave equation on general planar domains
Inversion of circular equation general planar domains Analysis of PDEs
2012/6/25
We study the problem of recovering the initial data of the two dimensional wave equation from values of its solution on an arbitrarily shaped bounded domain $\Omega \subset \R^2$. As a main result we ...
We prove that any distributional limit of finite planar graphs in which the degree of the root has an exponential tail is almost surely recurrent. As a corollary, we obtain that the uniform infinite p...