Stability of dynamical structures under perturbation of the generating function

DOI10.1080/10236190802563761zbMath1161.37017OpenAlexW2017173875MaRDI QIDQ3597937

Jaroslav Smítal, Timothy H. Steele

Publication date: 29 January 2009

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802563761

zbMATH Keywords

Hausdorff metricnonwandering pointsomega-limit pointschain recurrent pointsstability under perturbationcentre of a system

Mathematics Subject Classification ID

Related Items (7)

Stability of chain recurrent points of continuous maps on interval ⋮ On difference equations with asymptotically stable 2-cycles perturbed by a decaying noise ⋮ Continuity of the maps \(f\mapsto\bigcup_{x\in I}\omega(x,f)\) and \(f\mapsto\{\omega(x,f):x\in I\}\) ⋮ The life and mathematics of Jaroslav Smítal ⋮ Unnamed Item ⋮ Stability in the family of \(\omega \)-limit sets of alternating systems ⋮ The persistence of \(\omega\)-limit sets defined on compact spaces

Cites Work

• Unnamed Item
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• The space of $\omega $-limit sets of a continuous map of the interval
• Approximating \(\omega\)-limit sets with periodic orbits

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