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Universität Bielefeld

Shadowing and numerical analysis of set-valued dynamical systems

Abstract

dc:description.abstract

In this PhD thesis, shadowing theory is systematically generalized to set-valued discrete-time dynamical systems. In particular, a notion of hyperbolicity is proposed and the corresponding shadowing and inverse shadowing theorems are proved. Explicit error estimates for the Viability Kernel Algorithm are given for systems which possess the shadowing property.

Degree

thesis:*
Level thesis:degree_level
thesis.doctoral
Grantor dc:publisher
Universität Bielefeld
Year
2009

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Rieger, Janosch

Identifiers

dc:identifier.*
Repository record source_url
https://pub.uni-bielefeld.de/record/2301866
OAI identifier oai:identifier
oai:pub.uni-bielefeld.de:2301866

Chain of custody

source
Harvested from
Universität Bielefeld
Base URL
pub.uni-bielefeld.de/oai
Last updated
2026-07-27
Source record
OAI-PMH GetRecord
citation

Rieger, Janosch. Shadowing and numerical analysis of set-valued dynamical systems. thesis.doctoral thesis, Universität Bielefeld, 2009. https://pub.uni-bielefeld.de/record/2301866