Influence of dynamical noise on time series generated by nonlinear maps
type: Item
instance of: scholarly article
title: Influence of dynamical noise on time series generated by nonlinear maps
zbMATH Open document ID: 1167.37038
author: Marek Strumik
author: Wiesław M. Macek
published in: Physica D
publication date: 2008-05-21T00:00:00Z
review text: Consider the dynamical noise called ``pseudonoise'' corrupting a time series generated by a discrete iterated function system (map). Especially, the discrete maps \[ x_{n+1} = f(x_n) \] modified by the two types of maps \[ y_{n+1} = f(y_n) + \eta_n \] or \[ z_{n+1} = f(z_n+\eta_n) \] with noise terms \(\eta_n\) are under consideration. The authors discuss the influence of the dynamical noise \(\eta_n\) on dynamics and the distribution of its ``pseudonoise'' which is determined by the Jacobian of the mapping \(f\). The Gaussian case and quadratic maps are also treated.
reviewed by: Henri Schurz
Mathematics Subject Classification ID: 37M10
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 37H10
zbMATH DE Number: 5277598
zbMATH Keywords: chaotic systems
zbMATH Keywords: dynamical noise
zbMATH Keywords: time series analysis
zbMATH Keywords: iterated function systems
zbMATH Keywords: Jacobian
zbMATH Keywords: distribution
zbMATH Keywords: quadratic maps
MaRDI profile type: Publication
full work available at URL: j.physd.2007.10.002
OpenAlex ID: W1984385843
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DOI: 10.1016/J.PHYSD.2007.10.002
description: scientific article; zbMATH DE number 5277598