منابع مشابه
Poincaré recurrences of DNA sequences.
We analyze the statistical properties of Poincaré recurrences of Homo sapiens, mammalian, and other DNA sequences taken from the Ensembl Genome data base with up to 15 billion base pairs. We show that the probability of Poincaré recurrences decays in an algebraic way with the Poincaré exponent β≈4 even if the oscillatory dependence is well pronounced. The correlations between recurrences decay ...
متن کاملPoincaré recurrences and Ulam method for the Chirikov standard map
We study numerically the statistics of Poincaré recurrences for the Chirikov standard map and the separatrix map at parameters with a critical golden invariant curve. The properties of recurrences are analyzed with the help of a generalized Ulam method. This method allows us to construct the corresponding Ulam matrix whose spectrum and eigenstates are analyzed by the powerful Arnoldi method. We...
متن کاملAlgebraic Statistics of Poincaré Recurrences in a DNA Molecule.
The statistics of Poincaré recurrences is studied for the base-pair breathing dynamics of an all-atom DNA molecule in a realistic aqueous environment with thousands of degrees of freedom. It is found that at least over five decades in time the decay of recurrences is described by an algebraic law with the Poincaré exponent close to β=1.2. This value is directly related to the correlation decay ...
متن کامل0 Poincaré Recurrences in Microtron and the Global Critical Structure
The mechanism of the exponential transient statistics of Poincaré recurrences in the presence of chaos border with its critical structure is studied using two simple models: separatrix map and the kicked rotator ('microtron'). For the exponential transient to exist the two conditions have been shown to be crucial: fast (ballistic) relaxation, and a small measure of the critical structure. The l...
متن کاملSpectra of Dimensions for Poincaré Recurrences for Special Flows
We prove the variational principle for dimensions for Poincaré recurrences, in the case of invariant sets of dynamical systems with continuous time. To achieve this goal we show that these dimensions can be expressed as roots of a non–homogeneous Bowen equation.
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ژورنال
عنوان ژورنال: Electronic Research Announcements of the American Mathematical Society
سال: 2000
ISSN: 1079-6762
DOI: 10.1090/s1079-6762-00-00082-2