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Hilbert space description on nonlinear discrete-time dynamical systems

✍ Scribed by Krzysztof Kowalski

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
418 KB
Volume
195
Category
Article
ISSN
0378-4371

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πŸ“œ SIMILAR VOLUMES

Hilbert space description of classical d
Hilbert space description of classical dynamical systems II
✍ Krzysztof Kowalski πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 500 KB

The observations of the companion paper are extended to the case of an infinite number of degrees of freedom. It is shown that classical dynamical systems with square integrable solutions can bc described by an abstract. SchrGdinger-like equation in a Hilbert space.

A hypothesis concerning β€˜quantal’ Hilber
A hypothesis concerning β€˜quantal’ Hilbert space criterion of chaos in nonlinear dynamical systems
✍ Krzysztof Kowalski πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 318 KB

Based on the Hilbert space approach to the theory of nonlinear dynamical systems developed by the author, a hypothesis is formulated concerning the 'quantal' criterion for classical ordinary differential systems to exhibit chaotic behaviour.

On stochastic modelling for discrete bil
On stochastic modelling for discrete bilinear systems in Hilbert space
✍ C.S. Kubrusly πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 829 KB

## Infinite-dimensional discrete-time bilinear models driven by Hilbert-space-valued random sequences can be rigorously defined as the uniform limit of finite-dimensional bilinear models. Existence and uniqueness of solutions for such infinite-dimensional models can be established by assuming only