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pro vyhledávání: '"Alvaro Diaz-Ruelas"'
Autor:
Alvaro Diaz-Ruelas
Publikováno v:
Chaos : an interdisciplinary journal of nonlinear science
White noise is a fundamental and fairly well understood stochastic process that conforms to the conceptual basis for many other processes, as well as for the modeling of time series. Here, we push a fresh perspective toward white noise that, grounded
Publikováno v:
Chaos
We study the evolution of the probability density of ensembles of iterates of the logistic map that advance towards and finally remain at attractors of representative dynamical regimes. We consider the mirror families of superstable attractors along
We evaluate the implication and outlook of an unanticipated simplification in the macroscopic behavior of two high-dimensional sto-chastic models: the Replicator Model with Mutations and the Tangled Nature Model (TaNa) of evolutionary ecology. This s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1203f92fb1b0665796cb3bca995786bd
Autor:
Alvaro Diaz-Ruelas, Alberto Robledo
As a counterpart to our previous study of the stationary distribution formed by sums of positions at the Feigenbaum point via the period-doubling cascade in the logistic map (Eur. Phys. J. B 87 32, (2014)), we determine the family of related distribu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53e854ce298cee9d2ee6f97300e2d557
http://arxiv.org/abs/1608.02891
http://arxiv.org/abs/1608.02891
Autor:
Alvaro Diaz-Ruelas, Alberto Robledo
We consider both the dynamics within and towards the supercycle attractors along the period-doubling route to chaos to analyze the development of a statistical-mechanical structure. In this structure the partition function consists of the sum of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce44871a533b109bc27cad853dba783a
http://arxiv.org/abs/1403.0993
http://arxiv.org/abs/1403.0993
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
The stationary distributions of sums of positions of trajectories generated by the logistic map have been found to follow a basic renormalization group (RG) structure: a nontrivial fixed-point multi-scale distribution at the period-doubling onset of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61a8b2e2fae260da05dcb4d2dc37f327
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science. 26:123105
It is well known that low-dimensional nonlinear deterministic maps close to a tangent bifurcation exhibit intermittency and this circumstance has been exploited, e.g. by Procaccia and Schuster [Phys. Rev. A 28, 1210 (1983)], to develop a general theo