Results 31 to 40 of about 243 (89)
Ternary expansions of powers of 2 [PDF]
, 2007 Paul Erdos asked how frequently the ternary expansion of 2^n omits the digit 2. He conjectured this happens only for finitely many values of n. We generalize this question to consider iterates of two discrete dynamical systems. The first is over the real
Lagarias, Jeffrey C.
core +4 more sources
Sharp estimation of local convergence radius for the Picard iteration [PDF]
, 2018 We investigate the local convergence radius of a general Picard iteration in the frame of a real Hilbert space. We propose a new algorithm to estimate the local convergence radius.
Maruster, Laura, Maruster, Stefan
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Shadowing, asymptotic shadowing and s-limit shadowing [PDF]
, 2019 We study three notions of shadowing: classical shadowing, limit (or asymptotic) shadowing, and s-limit shadowing. We show that classical and s-limit shadowing coincide for tent maps and, more generally, for piecewise linear interval maps with constant ...
Good, Chris +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we prove the strong convergence of the composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces and compare our results with several recent results in this subject.
Ranjbar Sajad
doaj +1 more source
Topological mixing properties of rank‐one subshifts
Transactions of the London Mathematical Society, Volume 6, Issue 1, Page 1-21, December 2019., 2019 Abstract We study topological mixing properties and the maximal equicontinuous factor of rank‐one subshifts as topological dynamical systems. We show that the maximal equicontinuous factor of a rank‐one subshift is finite. We also determine all the finite factors of a rank‐one shift with a condition involving the cutting and spacer parameters. For rank‐
Su Gao, Caleb Ziegler
wiley +1 more source
Faà di Bruno′s formula and nonhyperbolic fixed points of one‐dimensional maps
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 29, Page 1543-1549, 2004., 2004 Fixed‐point theory of one‐dimensional maps of ℝ does not completely address the issue of nonhyperbolic fixed points. This note generalizes the existing tests to completely classify all such fixed points. To do this, a family of operators are exhibited that are analogous to generalizations of the Schwarzian derivative. In addition, a family of functions
Vadim Ponomarenko
wiley +1 more source
Multi-variable translation equation which arises from homothety
, 2010 In many regular cases, there exists a (properly defined) limit of iterations of a function in several real variables, and this limit satisfies the functional equation (1-z)f(x)=f(f(xz)(1-z)/z); here z is a scalar and x is a vector. This is a special case
A. Mach +8 more
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X-minimal patterns and a generalization of Sharkovskiĭ's theorem
Fundamenta Mathematicae, 1998 We study the law of coexistence of different types of cycles for a continuous map of the interval. For this we introduce the notion of eccentricity of a pattern and characterize those patterns with a given eccentricity that are simplest from the point of
J. Bobok, M. Kuchta
semanticscholar +1 more source
Dynamics of Newton′s functions of Barna′s polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 2, Page 79-84, 2002., 2002 We define Barna′s polynomials as real polynomials with all real roots of which at least four are distinct. In this paper, we study the dynamics of Newton′s functions of such polynomials. We also give the upper and lower bounds of the Hausdorff dimension of exceptional sets of these Newton′s functions.
Piyapong Niamsup
wiley +1 more source
A multi-dimensional-time dynamical system
, 2012 In this paper we give a concept of multi-dimensional-time dynamical system (MDTDS). Such dynamical system is generated by a finite family of functions $\{f_i\}$. The multi-dimensional-time space is taken as a free group.
Rozikov, U. A.
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