Hilbert space description of classical dynamical systems. I

DOI10.1016/0378-4371(87)90003-3zbMath0674.58041OpenAlexW4238965846MaRDI QIDQ1121578

Krzysztof Kowalski

Publication date: 1987

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(87)90003-3

zbMATH Keywords

dynamical systemsHilbert spaceSchrödinger-like equationannihilation operatorsBose creationCarleman embedding

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Related Items (6)

Bäcklund transformations for nonlinear evolution equations: Hilbert space approach ⋮ Hilbert space description of nonlinear discrete-time dynamical systems ⋮ Hilbert space description of classical dynamical systems. II ⋮ Nonlinear dynamical systems and classical orthogonal polynomials ⋮ A hypothesis concerning ``quantal Hilbert space criterion of chaos in nonlinear dynamical systems. ⋮ Continuous time evolution from iterated maps and Carleman linearization

Cites Work

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• Hilbert space description of classical dynamical systems. II
• Non-linear autonomous systems of differential equations and Carleman linearization procedure
• Application de la théorie des équations intégrales linéaires aux systèmes d'équations différentielles non linéaires
• Explicit solution of the continuous Baker-Cambell-Hausdorff problem and a new expression for the phase operator
• On a Hilbert space of analytic functions and an associated integral transform part I
• Analytical approach to initial-value problems in nonlinear systems
• Symmetries and first integrals for dissipative systems

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