Capturing correlations in chaotic diffusion by approximation methods
نویسندگان
چکیده
منابع مشابه
Capturing correlations in chaotic diffusion by approximation methods.
We investigate three different methods for systematically approximating the diffusion coefficient of a deterministic random walk on the line that contains dynamical correlations that change irregularly under parameter variation. Capturing these correlations by incorporating higher-order terms, all schemes converge to the analytically exact result. Two of these methods are based on expanding the...
متن کاملCapturing Web Dynamics by Regular Approximation
Software systems like Web crawlers, Web archives or Web caches depend on or may be improved with the knowledge of update times of remote sources. In the literature, based on the assumption of an exponential distribution of time intervals between updates, diverse statistical methods were presented to find optimal reload times of remote sources. In this article first we present the observation th...
متن کاملShock capturing by anisotropic diffusion oscillation reduction
This paper introduces an anisotropic diffusion oscillation reduction (ADOR) scheme for shock wave computations. The connection is made between digital image processing, in particular, image edge detection, and numerical shock capturing. Indeed, numerical shock capturing can be formulated on the lines of iterative digital edge detection. Various anisotropic diffusion and super diffusion operator...
متن کاملSpatial Correlations in Chaotic Eigenfunctions
At short distances, energy eigenfunctions of chaotic systems have spatial correlations that are well described by assuming a microcanonical density in phase space for the corresponding Wigner function. However, this is not correct on large scales. The correct correlation function is in turn needed to get the correct formula for the root-mean-square value of the off-diagonal matrix elements of s...
متن کاملApproximation of Chaotic Operators
As well-known, the concept "hypercyclic" in operator theory is the same as the concept "transitive" in dynamical system. Now the class of hypercyclic operators is well studied. Following the idea of research in hypercyclic operators, we consider classes of operators with some kinds of chaotic properties in this article. First of all, the closures of the sets of all Li-Yorke chaotic operators or...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2011
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.84.041135