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...
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 |
Similar Items
-
Learning strange attractors with reservoir systems
by: Grigoryeva, Lyudmila, et al.
Published: (2023) -
Extension of the Hodge theorem to certain non-compact manifolds
by: Shapiro, Yakov (Yakov Mikhaylovich)
Published: (2008) -
Dimension reduction in recurrent networks by canonicalization
by: Grigoryeva, Lyudmila, et al.
Published: (2022) -
Infinite-dimensional reservoir computing
by: Gonon, Lukas, et al.
Published: (2024) -
A mixed integer linear program for synchronizing traffic signals for maximal bandwidth.
by: Little, John D. C.
Published: (2009)