Poincaré resonances and the extension of classical dynamics.
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Publication:815533
DOI10.1016/0960-0779(95)00042-9zbMath1080.82550OpenAlexW2039462167WikidataQ114738299 ScholiaQ114738299MaRDI QIDQ815533
Ilya Prigogine, Tomio Petrosky
Publication date: 17 February 2006
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0960-0779(95)00042-9
intertwining relationcollision operatoreigenfunctions of the Liouville operatorfunctions singular in their Fourier transformsgeneralized function spacelarge non-integrable Poincaré system
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Cites Work
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- Generalized spectral decomposition of the \(\beta\)-adic baker's transformation and intrinsic irreversibility
- Quantum chaos, complex spectral representations and time-symmetry breaking
- Some formal aspects of subdynamics
- Laws and events: The dynamical basis of self-organization
- Perturbation theory of large quantum systems
- The approach to equilibrium in quantum statistics
- On the relation of dynamics to statistical mechanics
- Poincaré resonances and the limits of trajectory dynamics.
- Spectral decomposition of the Renyi map
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