Results 41 to 50 of about 243 (89)
Topological conjugacies of piecewise monotone interval maps
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 2, Page 119-127, 2001., 2001 Our aim is to establish the topological conjugacy between piecewise monotone expansive interval maps and piecewise linear maps. First, we are concerned with maps satisfying a Markov condition and next with those admitting a certain countable partition. Finally, we compute the topological entropy in the Markov case.
Nikos A. Fotiades, Moses A. Boudourides
wiley +1 more source
Sieving random iterative function systems
, 2020 It is known that backward iterations of independent copies of a contractive random Lipschitz function converge almost surely under mild assumptions. By a sieving (or thinning) procedure based on adding to the functions time and space components, it is ...
Marynych, Alexander, Molchanov, Ilya
core +1 more source
Maximal scrambled sets for simple chaotic functions [PDF]
, 1996 This paper is a continuation of [V. Jiménez López, An explicit description of all scrambled sets of weakly unimodal functions of type 2∞, Real Anal. Exchange, to appear.], where a explicit description of the scrambled sets of weakly unimodal functions of
Jiménez López, Víctor
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Perturbation-iteration approach for fractional-order logistic differential equations
Nonlinear EngineeringIn this article, we present an accurate semi-analytical solution for fractional-order logistic equations across a wider domain. We accomplish this by deriving successive approximate solutions using a modified perturbation iteration approach tailored for ...
Owoyemi Abiodun Ezekiel +2 more
doaj +1 more source
Dynamics of a certain sequence of powers
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 4, Page 283-288, 2000., 2000 For any nonzero complex number z we define a sequence a1(z) = z, a2(z)=za1(z),…,an+1(z)=zan(z), n ∈ ℕ. We attempt to describe the set of these z for which the sequence {an(z)} is convergent. While it is almost impossible to characterize this convergence set in the complex plane 𝒞, we achieved it for positive reals.
Roman Sznajder, Kanchan Basnyat
wiley +1 more source
Inhomogeneous self-similar sets and box dimensions
, 2012 We investigate the box dimensions of inhomogeneous self-similar sets. Firstly, we extend some results of Olsen and Snigireva by computing the upper box dimensions assuming some mild separation conditions.
Fraser, Jonathan M.
core +1 more source
Galois groups and automata [PDF]
, 2015 In the frame of Mahler's method for algebraic independence we show that the algebraic relations over Q linking the values of functions solutions of a system of functional equations come from the algebraic relations between the functions themselves, by ...
Philippon, Patrice
core +4 more sources
On the speed of convergence of iteration of a function
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 31-36, 1994., 1993 Let fn(x) be the nth iterate of a function in some interval [0, c]. It is known that if f(x) ~ x − xα, α > 1, then fn(x) ~ Ana for some A and a. In this paper we prove a converse of this theorem: The rate of convergence of the iterates determines the form of a function.
Vladimir Drobot
wiley +1 more source
On the Lebesgue measure of Li-Yorke pairs for interval maps [PDF]
, 2009 We investigate the prevalence of Li-Yorke pairs for $C^2$ and $C^3$ multimodal maps $f$ with non-flat critical points. We show that every measurable scrambled set has zero Lebesgue measure and that all strongly wandering sets have zero Lebesgue measure ...
A. Barrio Blaya +55 more
core +2 more sources
Fixed Points of Functions below the Line y = x [PDF]
, 2022 This paper concerns fixed points of functions whose graphs lie on or below the line y = x. Using the Monotone Convergence Theorem, we show that positive fixed points of such functions are “attracting on the right” so long as we include a couple of ...
Fryling, Grace, Rouse, Harrison
core +2 more sources