1,776 research outputs found
A New Hyperchaotic Attractor with Complex Patterns
The paper introduces a new 4d dynamical system leading to a typical 4d
strange attractor. Its focal statement appears in its total disconnection from
previous 3D nonlinear systems.Comment: 8 pages, 4 Phase portrait projections and 3 Poincare Maps. More
materials focusing chaotic attractors at http://chaos-3d.e-monsite.co
The Hunt Hypothesis and the Dividend Policy of the Firm. The Chaotic Motion of the Profits
We have carried out simulations of a financial model of the firm to analyse
the validity of the concept of Trade on Equity in dynamics. The results exhibit
the ability of the borrowing policy connected to a cautious dividend
distribution to inject chaos into the profit motion. The 3D system built with
the van der Pol's oscillator produces a new class of strange attractors.Comment: 12 pages, 9 figures (stranges attractors, Poincar=E9 maps,
bifurcation diagrams,...). Submitted to the 8th Int. Conf. of the Soc. for
Computational Economics, Aix-en-Provence, France, June 27-29, 200
A 3D Strange Attractor with a Distinctive Silhouette. The Butterfly Effect Revisited
We propose firstly an autonomous system of three first order differential
equations which has two nonlinear terms and generating a new and distinctive
strange attractor. Furthermore, this new 3D chaotic system performs a new
feature of the Sensitive Dependency on Initial Conditions (SDIC) popularized as
the Butterfly Effect discovered by Lorenz (1963). We noticed that the variation
of the Initial Conditions for our system leads not only to different attractors
but also to a singular phenomenon of overlapped attractors.Comment: The paper contains 10 pages, 7 figures (phase portraits and Lyapunov
spectrum). Submitted to CHAOS. More materials focusing chaotic attractors at
http://chaos-3d.e-monsite.co
When Aut() and Homeo(Prim()) are homeomorphics
In this paper, we discuss when Aut() and Homeo(Prim()) are
homeomorphic, where is a -algebra
Motives of quadric bundles
This article is about motives of quadric bundles. In the case of odd
dimensional fibers and where the basis is of dimension two we give an explicit
relative and absolute Chow-K\"unneth decomposition. This shows that the motive
of the quadric bundle is isomorphic to the direct sum of the motive of the base
and the Prym motive of a double cover of the discriminant. In particular this
is a refinement with coefficients of a result of Beauville
concerning the cohomology and the Chow groups of an odd dimensional quadric
bundle over . This Chow-K\"unneth decomposition satisfies Murre's
conjectures II and III. This article is a generalization of an article of Nagel
and Saito on conic bundles \cite{NS}
Generalized -Gaussian Ensemble Equilibrium measure method
We investigate -Generalized random Hermitian matrices ensemble
sometimes called Chiral ensemble. We give global asymptotic of the density of
eigenvalues or the statistical density. We investigate general method names as
equilibrium measure method. When taking large limit we will see that the
asymptotic density of eigenvalues generalize the Wigner semi-circle law
A noncommutative version of the Banach-Stone theorem (II)
In this paper, we extend the Banach-Stone theorem to the non commutative
case, i.e, we give a partial answere to the question 2.1 of [13], and we prove
that the structure of the postliminal C*-algebras A determines the topology of
its primitive ideals space.Comment: 5 page
A Novel Strange Attractor with a Stretched Loop
The paper introduces a new 3D strange attractor topologically different from
any other known chaotic attractors. The intentionally constructed model of
three autonomous first-order differential equations derives from the
coupling-induced complexity of the well-known Lotka-Volterra oscillator. The
chaotic attractor exhibiting a double scroll bridged by a loop mutates to a
single scroll with a very stretched loop by the variation of one parameter.
Analysis of the global behavior of the new low dimensional dissipative
dynamical model and its range of periodic and a-periodic oscillations are
presented.Comment: 8 pages, 6 figures (Phase portraits, Bifurcation diagram, Lyapunov
Spectrum), 2 tables. Submitted to Chaos, Solitons & Fractal
Asymptotic density of zeros of half range generalized Hermite polynomials
We investigate the global density of zeros of generalized Hermite orthogonal
polynomials, subject to certain truncated conditions on its weight. We shall
given explicitly the global density of zeros under some asymptotic conditions
on the weight. Moreover we compute the asymptotic of the total energy of the
equilibrium position of the system of movable unit charges in an external
field determined by the weight of the generalized Hermite polynomials. We will
see that for finite the energy is in direct relationship with the zeros of
the orthogonal polynomials.Comment: 27 pages, 5 figure
Generalized Gaussian Random Unitary Matrices Ensemble
We describe Generalized Hermitian matrices ensemble sometimes called Chiral
ensemble. We give global asymptotic of the density of eigenvalues or the
statistical density. We will calculate a Laplace transform of such a density
for finite , which will be expressed through an hypergeometric function.
When the dimensional of the hermitian matrix begin large enough, we will prove
that the statistical density of eigenvalues converge in the tight topology to
some probability measure, which generalize the Wigner semi-circle law.Comment: JP Journal of Geometry and Topology 201
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