Chaos on compact manifolds: differentiable synchronizations beyond the Takens theorem

This paper shows that a large class of fading memory state-space systems driven by discrete-time observations of dynamical systems defined on compact manifolds always yields continuously differentiable synchronizations. This general result provides a powerful tool for the representation, reconstruct...

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Bibliographic Details
Main Authors: Grigoryeva, Lyudmila, Hart, Allen, Ortega, Juan-Pablo
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/154971