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Ergodic solutions via ergodic sequences
Nonlinear Analysis: Theory, Methods & Applications, 2000It is known (G. H.~Meisters, Z.~Opial, and A. M.~Fink) that the existence of almost-periodic solutions to ordinary differential equations is equivalent to the fact that the restriction of a bounded solution to some discrete subgroup of reals is almost-periodic. There are results of this kind [see, e.g., \textit{A.
Hong, Jialin +2 more
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2004
The problem of determining which sets are visited with defined frequency by the motions of a dynamical system (Ω, S) can be satisfactorily solved in the case of particularly simple systems; for instance in the case in which \(S = {S_{{t_0}}}\) and (S t )t∈ℝ is a Hamiltonian flow which is analytically integrable on a region W ⊂ ℝ2r and Ω = W, cf ...
Giovanni Gallavotti +2 more
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The problem of determining which sets are visited with defined frequency by the motions of a dynamical system (Ω, S) can be satisfactorily solved in the case of particularly simple systems; for instance in the case in which \(S = {S_{{t_0}}}\) and (S t )t∈ℝ is a Hamiltonian flow which is analytically integrable on a region W ⊂ ℝ2r and Ω = W, cf ...
Giovanni Gallavotti +2 more
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Continuously broken ergodicity
The Journal of Chemical Physics, 2007A system that is initially ergodic can become nonergodic, i.e., display “broken ergodicity,” if the relaxation time scale of the system becomes longer than the observation time over which properties are measured. The phenomenon of broken ergodicity is of vital importance to the study of many condensed matter systems.
John C, Mauro +2 more
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Ergodicity/non-ergodicity or else?
2019Throughout most of his writings Paul Davidson has argued that Keynes broke away from the classical mainstream understanding of his time by rejecting three crucial classical axioms, one of which was ergodicity and acknowledge non-ergodicity. As such, to Davidson, as to a Post Keynesian, one must accept non-determinism if one correctly wants to ...
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Ergodicity, geometric ergodicity and strong ergodicity
Advances in Applied Probability, 1980openaire +1 more source
Ergodic Curves and the Ergodic Function
American Journal of Mathematics, 1940openaire +1 more source
A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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