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An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension
Nearly Integrable Hamiltonian System Trajectory Dense Maximal Hausdorff Dimension
2015/9/25
The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it.Ehrenfest (The Conceptual Foundations of th...
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...
Goursat systems of R^n satisfying in each dimension a singularity of order two
Non holonomic distribution normal forms
2010/9/27
In this article we study the 2-distributions in Rn satisfying everywhere the Goursat condition. We give the normal form at a neighborhood of a point where the small growth vector has a singularity of ...
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...
On the dimension of spline spaces on planar T-subdivisions
spline spaces planar T-subdivisions
2010/11/12
We analyze the space S_{m, m'}^{r, r'} (T) of bivariate functions that are piecewise polynomial of bidegree (m, m') and class C^{r, r'} over a planar T-subdivision. We give a new formula for the dime...
On the metric dimension of corona product graphs
Resolving sets metric dimension corona graph
2010/12/6
Given a set of vertices S = {v1, v2, ..., vk} of a connected graph G, the metric representation of a vertex v of G with respect to S is the vector r(v|S) = (d(v, v1), d(v, v2), ..., d(v, vk )), where ...
A local modification to monopole equations in 8-dimension
Seiberg-Witten monopole equations spinc-structure
2009/2/18
Monopole equations on 8-manifolds with spin(7) holonomy are given in [1].
In this work we write a local modification of the monopole equations on R8. We
show that these new equations are admit non-t...
A local modification to monopole equations in 8-dimension
Seiberg-Witten monopole equations spinc-structure
2009/1/8
Monopole equations on 8-manifolds with spin(7) holonomy are given in [1].
In this work we write a local modification of the monopole equations on R8. We
show that these new equations are admit non-t...
Compensation problem in finite dimension linear dynamical systems
Dynamical systems remediability observation control
2010/9/14
In this work, we consider a class of finite dimension disturbed dynamical systems. We study with respect to the observation, the possibility of finite time or asymptotic compensation of known or unkno...
Performance assessment of IEEE 802.11e EDCF using three-dimension Markov chain model
WLAN EDCA CW AIFS Three-dimension Markov Chain
2010/9/10
The new standard IEEE 802.11e is specified to support quality-ofservice in wireless local area networks (WLAN). Recent research related to the Enhanced distributed channel access (EDCA) performance is...
A VRS dimension framework for effective DSS design
Decision Support Systems VRS activities
2010/9/16
A specific Decision Support System (DSS) can actually serve the Vehicle Routing and Scheduling (VRS) activities of any firm that need to pickup or deliver commodities in a daily base. Such systems can...
HAUSDORFF DIMENSION OF CUTSET OF COMPLEX VALUED RADEMACHER SERIES
Hausdorff dimension fractals
2007/12/11
Cutsets of series form an important class of fractal sets. In this paper, the author obtains the Hausdoff dimension of outset of complex valued Rademacher serise.
THE FINITE DIMENSION BEHAVIOR OF THE SCHRDINGER EQUATION WITH NONLOCAL INTEGRAL NONLINEARITY
Schrodinger equation nonlocal
2007/12/11
In this paper we discuss the long time behavior of the initial problem We show that in a weighted Hilbert space there exists a global attractor which is weakly compact and has finite Hausdorff and fra...
Construction and Dimension Analysis for a Class of Fractal Functions
cantor series expression dyadic nondifferentiable
2007/12/10
In this paper, we construct a class of nowhere differentiable continuous functions by means of the Cantor series expression of real numbers. The constructed functions include some known nondifferentia...
GLOBAL ATTRACTOR AND ITS DIMENSION ESTIMATES FOR THE GENERALIZED DISSIPATIVE KdV EQUATION ON R
Global attractor Hausdorff
2007/12/10
In this paper we prove the existence of global attractor for the generalized dissipative KdVequation on R, and give an upper bound for its Hausdorff and fractal dimensions.