Poincaré resonances and the limits of trajectory dynamics.

DOI10.1073/pnas.90.20.9393zbMath0799.70002OpenAlexW2029951589WikidataQ36590329 ScholiaQ36590329MaRDI QIDQ4277975

Tomio Petrosky, Ilya Prigogine

Publication date: 10 November 1994

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.90.20.9393

zbMATH Keywords

large Poincaré systemsLiouville-von Neumann operatorsingular invariantsbroken time symmetryclassical potential scatteringcomplex irreducible spectral representationspersistent interactions

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Quantum scattering theory (81U99) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (6)

Quantum chaos, complex spectral representations and time-symmetry breaking ⋮ The extension of classical dynamics for unstable Hamiltonian systems ⋮ Quantum systems with diagonal singularity: Their logic and intrinsic irreversibility ⋮ Nonequilibrium statistical mechanics Brussels-Austin style ⋮ Looking at the arrow of time and loschmidt's paradox through the magnifying glass of mathematical-billiard ⋮ Poincaré resonances and the extension of classical dynamics.

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