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Hilbert space description of classical dynamical systems I

✍ Scribed by Krzysztof Kowalski

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
830 KB
Volume
145
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.