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Synchronization in minimal iterated func...

Homburg, Ale Jan...

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Synchronization in minimal iterated function systems on compact manifolds by Homburg, Ale Jan ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	26-07-2023
Summary	We treat synchronization for iterated function systems generated by diffeomorphisms on compact manifolds. Synchronization here means the convergence of orbits starting at different initial conditions when iterated by the same sequence of diffeomorphisms. The iterated function systems admit a description as skew product systems of diffeomorphisms on compact manifolds driven by shift operators. Under open conditions including transitivity and negative fiber Lyapunov exponents, we prove the existence of a unique attracting invariant graph for the skew product system. This explains the occurrence of synchronization. The result extends previous results for iterated function systems by diffeomorphisms on the circle, to arbitrary compact manifolds.
ISBN	-
Item Type	Article
File Type	pdf
File Size	37.08 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1303.6054

Citation

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AMA 11th EditionReferences

Homburg, Ale Jan. Synchronization in minimal iterated function systems on compact manifolds. N.A. July 26, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/6020

APA 7th EditionReferences

Homburg, Ale Jan. (2023). Synchronization in minimal iterated function systems on compact manifolds. N.A. https://online.provdatabase.com/cite/6020

Chicago 17th EditionReferences

Homburg, Ale Jan. Synchronization in minimal iterated function systems on compact manifolds. N.A. 2023. https://online.provdatabase.com/cite/6020

HarvardReferences

Homburg, Ale Jan. (2023). Synchronization in minimal iterated function systems on compact manifolds. [Online]. N.A. Available from: https://online.provdatabase.com/cite/6020. (Accessed 20 September 2024).

Harvard AustraliaReferences

Homburg, Ale Jan, 2023, Synchronization in minimal iterated function systems on compact manifolds, N.A, viewed 20 September 2024, <https://online.provdatabase.com/cite/6020>

MLA 9th EditionWorks Cited

Homburg, Ale Jan. Synchronization in minimal iterated function systems on compact manifolds. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/6020.

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