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Hilbert space description of classical dynamical systems II

✍ Scribed by Krzysztof Kowalski

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
500 KB
Volume
152
Category
Article
ISSN
0378-4371

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

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.