Results 31 to 40 of about 33,861 (297)
Newton’s method and symbolic dynamics [PDF]
Proceedings of the American Mathematical Society, 1984 The starting point of the paper is a result by B. Barna stating the convergence of Newton's method to a root of a polynomial, except for a set of initial points homeomorphic to a Cantor set. The assumptions of Barna's theorem are that: (1) the polynomial has degree at least four; (2) all the roots are real, distinct, and simple.
openaire +2 more sources
On the Entropy of a Two Step Random Fibonacci Substitution
Entropy, 2013 We consider a random generalization of the classical Fibonacci substitution. The substitution we consider is defined as the rule mapping, a → baa and b → ab, with probability , and → ba, with probability 1 – p for 0 < p < 1, and where the random rule is
Johan Nilsson
doaj +1 more source
Discrete rotations and symbolic dynamics
Theoretical Computer Science, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berthe, Valerie, Nouvel, Bertrand
openaire +3 more sources
Subshifts on Infinite Alphabets and Their Entropy
Entropy, 2020 We analyze symbolic dynamics to infinite alphabets by endowing the alphabet with the cofinite topology. The topological entropy is shown to be equal to the supremum of the growth rate of the complexity function with respect to finite subalphabets.
Sharwin Rezagholi
doaj +1 more source
Fractal and Fractional, 2022 Hidden attractors are associated with multistability phenomena, which have considerable application prospects in engineering. By modifying a simple three-dimensional continuous quadratic dynamical system, this paper reports a new autonomous chaotic ...
Chengwei Dong
doaj +1 more source
Symbolic Control of Nonlinear Systems: Safety, Optimization and Learning [PDF]
, 2023 DoctoralSymbolic control is a computational approach to control nonlinear systems subject to state and input constraints. It is based on the use of symbolic models that are sound discrete-state approximations of the original dynamics. Symbolic models can
Girard, Antoine
core
Orbit Representations from Linear mod 1 Transformations
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We show that every point $x_0in [0,1]$ carries a representationof a $C^*$-algebra that encodes the orbit structure of thelinear mod 1 interval map $f_{eta,alpha}(x)=eta x +alpha$.
Carlos Correia Ramos +2 more
doaj +1 more source
SYMBOLIC DYNAMICS AND SOME APPLICATIONS
Selecciones Matemáticas, 2016 In this article we present some applications of symbolic dynamics in the eld of dynamic systems by the discretization of space.
Jorge Horna Mercedes +4 more
doaj +1 more source
FEBS Letters, EarlyView.We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
wiley +1 more source
A study on global stabilization of periodic orbits in discrete-time chaotic systems by using symbolic dynamics [PDF]
, 2015 summary:In this report, a control method for the stabilization of periodic orbits for a class of one- and two-dimensional discrete-time systems that are topologically conjugate to symbolic dynamical systems is proposed and applied to a population model ...
Sakamoto, Noboru, Suzuki, Masayasu
core +1 more source