Asymptotic behavior of non-expanding piecewise linear maps in the presence of random noise
type: Item
instance of: scholarly article
title: Asymptotic behavior of non-expanding piecewise linear maps in the presence of random noise
zbMATH Open document ID: 1407.37084
author: Fumihiko Nakamura
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2018-12-18T00:00:00Z
Mathematics Subject Classification ID: 37H20
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 37E05
zbMATH DE Number: 6994969
zbMATH Keywords: asymptotic periodicity
zbMATH Keywords: asymptotic stability
zbMATH Keywords: non-expanding piecewise linear maps
zbMATH Keywords: random dynamical systems
zbMATH Keywords: Christoffel word
MaRDI profile type: Publication
full work available at URL: dcdsb.2018055
OpenAlex ID: W2782064684
cites work: Q4097001
cites work: Q5486010
cites work: Sturmian and Episturmian Words
cites work: On an involution of Christoffel words and Sturmian morphisms
cites work: Bifurcation curves in discontinuous maps
cites work: Descriptions of the Characteristic Sequence of an Irrational
cites work: Sampling local properties of attractors via extreme value theory
cites work: Statistical properties of random dynamical systems with contracting direction
cites work: A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples
cites work: Invariant measures for position dependent random maps with continuous random parameters
cites work: Random perturbations of non-singular transformations on \([0,1]\)
cites work: Chaotic Behavior in Piecewise Continuous Difference Equations
cites work: Asymptotic Periodicity of the Iterates of Markov Operators
cites work: Chaos, fractals, and noise: Stochastic aspects of dynamics.
cites work: On a response characteristic of a mathematical neuron model
cites work: Periodicity of non-expanding piecewise linear maps and effects of random noises
cites work: Numerical analysis of transient and periodic dynamics in single and coupled Nagumo-Sato models
cites work: BIFURCATION STRUCTURES IN A BIMODAL PIECEWISE LINEAR MAP: REGULAR DYNAMICS
DOI: 10.3934/DCDSB.2018055
Recommended article: Periodicity of non-expanding piecewise linear maps and effects of random noises
Recommended article: Q4463902
Recommended article: Stochastic behavior of asymptotically expanding maps
Recommended article: Q4319451
Recommended article: Asymptotic behaviors for functionals of random dynamical systems
Recommended article: Asymptotic behaviors of randomly perturbed dynamical systems
Recommended article: Piecewise linear maps with heterogeneous chaos
Recommended article: An ergodic theorem for intermittency of piecewise linear iterated maps
Recommended article: Q4724215
description: scientific article; zbMATH DE number 6994969