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Examples
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(**) A reasonably exact wording, as I recall it from my physics training, is something like this: “To every continuous symmetry in the Hamiltonian of a Dynamical System there corresponds a conserved quantity”.
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Souriau and Cushman-de Vries define an elementary system to be one in which the restricted Poincare group acts transitively upon its 'space of motions', (Structure of Dynamical Systems: A Symplectic View of Physics , p173).
Archive 2009-02-01 Gordon McCabe 2009
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(**) A reasonably exact wording, as I recall it from my physics training, is something like this: “To every continuous symmetry in the Hamiltonian of a Dynamical System there corresponds a conserved quantity”.
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The “Dynamical System” and “Lyapunov Stability” pages in wikipedia are more accurate, with respect to other wikipedia pages on the topic.
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And this: "Dynamical studies predict that small irregular saturnian satellites have struck Phoebe several times over the age of the Solar System14, providing known historic sources of material, much of which remains in the ring today."
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Dynamical compactification will be happening all over the place in the D-dimensional de Sitter space, realizing all of these possibilities in different spacetime regions, and yielding what is referred to as a “multiverse.”
Making Extra Dimensions Disappear Sean 2009
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Matt Johnson, Lisa Randall and I just came out with a paper that takes a partial stab at this question: Dynamical Compactification from de Sitter Space.
Making Extra Dimensions Disappear Sean 2009
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Dynamical downscaling experiments within the RegClim project.
Statistical downscaling approach and downscaling of AOGCM climate change projections 2009
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Dynamical systems, adaptation and economic evolution.
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Dynamical activities within living eukaryotic cells are organized by microtubules, main structural components of the cytoskeleton and cylindrical polymers of the protein tubulin.
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