نتایج جستجو برای: non autonomous iterated function system

تعداد نتایج: 4228762  

1999
R. D. Mauldin

In this paper we introduce and explore conformal parabolic iterated function systems. We deene and study topological pressure, Perron-Frobenius type operators, semi-conformal and conformal measures and the Hausdorr dimension of the limit set. With every parabolic system we associate an innnite hyperbolic conformal iterated function system and we employ it to study geometric and dynamical featur...

2003
Antti Käenmäki

We consider infinite conformal function systems on Rd. We study the geometric structure of the limit set of such systems. Suppose this limit set intersects some l-dimensional C1-submanifold with positive Hausdorff t-dimensional measure, where 0 < l < d and t is the Hausdorff dimension of the limit set. We then show that the closure of the limit set belongs to some l-dimensional affine subspace ...

2017
Michal Rams Jacques Lévy Véhel Jacques Lévy

We consider the natural measures associated with a family of conformal iterated function systems satisfying the transversality condition but no separation condition. We provide the exact value of their generalised Renyi dimensions Dq for q in a certain range.

1994
Pier Luigi Sacco Marco Sandri

We reconsider the input–output model in the light of a new mathematical formalism, namely the so called Iterated Function Systems (IFS), that, in spite of the linearity of the structure of the system, allows a greatly complex dynamical behavior. The basic theory is presented and some analytical results are provided, together with some simulations (at least partly) based on empirical data.

1998
DAVID STEINSALTZ

An iterated function system on X R d is deened by successively iterating an i.i.d. sequence of random Lipschitz functions from X to X. This paper shows how Fn = f 1 fn may converge even in the absence of the strong contraction conditions | for instance, Lipschitz constant smaller than 1 on average | which earlier work has required. Instead, it is posited that there be a region of contraction wh...

Journal: :Computers & Graphics 1994
David Canright

From any given Iterated Function System, a small set of balls that cover the fractal attractor can be simply determined. This gives a priori bounds on the region of space in which the attractor may be constructed.

2007
MARIO ROY HIROKI SUMI MARIUSZ URBAŃSKI

This paper deals with analytic families of holomorphic iterated function systems. Using real analyticity of the pressure function (which we prove), we establish a classification theorem for analytic families of holomorphic iterated function systems which depend continuously on a parameter when the space of holomorphic iterated function systems is endowed with the λ-topology. This classification...

2013
A. K. Dubey A. Narayan R. P. Dubey

In 1969, Kannan [1] proved a new mapping which improved the Banach Contraction theorem. The purpose of this paper is to generalize the Kannan mapping and also to prove it, in space of fractals.

2012
ANDREW VINCE

Iterated function systems have been most extensively studied when the functions are affine transformations of Euclidean space and, more recently, projective transformations on real projective space. This paper investigates iterated function systems consisting of Möbius transformations on the extended complex plane or, equivalently, on the Riemann sphere. The main result is a characterization, i...

2003
P. J. POTTS

It is known that for almost all starting points the non-deterministic dynamical system corresponding to a hyperbolic iterated function system with probabilities generates orbits whose frequency of visits to any given Borel subset of the domain is described by the unique invariant measure of the iterated function system with probabilities. In this paper, we will show that under certain condition...

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