Results 261 to 270 of about 12,737,911 (320)
Some of the next articles are maybe not open access.
GENERALIZED ITERATED FUNCTION SYSTEMS ON HYPERBOLIC NUMBER PLANE
Fractals, 2019Iterated function systems provide the most fundamental framework to create many fascinating fractal sets. They have been extensively studied when the functions are affine transformations of Euclidean spaces.
G. Téllez-Sánchez, J. Bory‐Reyes
semanticscholar +1 more source
Iteration of Analytic Functions
The Annals of Mathematics, 1942La solution formelle de l'equation de Schröder \(\varphi(a_1x)=f(\varphi(x))\) converge si \(\log |a_1^n-1|=O(\log n)\) pour \(n\to\infty\) où \(f(z)=a_1z+\dots\).
openaire +2 more sources
Infinite Iterated Function Systems
Mathematische Nachrichten, 1994AbstractWe examine iterated function systems consisting of a countably infinite number of contracting mappings (IIFS). We state results analogous to the well‐known case of finitely many mappings (IFS). Moreover, we show that IIFS can be approximated by appropriately chosen IFS both in terms of Hausdorff distance and of Hausdorff dimension.
openaire +2 more sources
Iterated Function Systems, Iterated Multifunction Systems, and Applications
2008In the first part of the paper we recall the theory of iterated function systems and iterated multifunction systems. In the second part we show some applications in economics, statistics and finance.
C. Colapinto, D. La Torre
openaire +2 more sources
Chaos in Iterated Function Systems
International Journal of Bifurcation and Chaos, 2020In the present paper, we study chaos in iterated function systems (IFS), namely dynamical systems with several generators. We introduce weak Li–Yorke chaos, chaos in branch, and weak topological chaos to perceive the role of branches to create chaos in an IFS. Moreover, we define another type of chaos, [Formula: see text]-chaos, on an IFS.
Mohtashamipour, Maliheh +1 more
openaire +1 more source
2001
The issue of iterated theory change is indeed interesting. Legal codes are under constant modification, new discoveries shape scientific theories, and robots ought to update their representation of the world each time a sensor gains new data. A pertinent criticism to the AGM formalism of theory change [Alchourron et al.,1985] is its lack of definition ...
Areces, C., Becher, V.
openaire +2 more sources
The issue of iterated theory change is indeed interesting. Legal codes are under constant modification, new discoveries shape scientific theories, and robots ought to update their representation of the world each time a sensor gains new data. A pertinent criticism to the AGM formalism of theory change [Alchourron et al.,1985] is its lack of definition ...
Areces, C., Becher, V.
openaire +2 more sources
On Division by Functional Iteration
IEEE Transactions on Computers, 1970In order to avoid the time delays associated with linearly convergent division based on subtraction, other iterative schemes can be used. These are based on 1) series expansion of the reciprocal, 2) multiplicative sequence, or 3) additive sequence convergent to the quotient. These latter techniques are based on finding the root of an arbitrary function
openaire +2 more sources
Iterated Integral-Transform Trial Functions
Journal of Mathematical Physics, 1971The concept of iterated integral-transform trial functions is introduced. Its formal correspondence with the iterative solution of integral equations is established. Extensions and generalizations are indicated, and some of the advantages of the approach are discussed.
openaire +2 more sources