Open AccessDimensional Characteristics of Diffusion Chaos
Author(s) -
С. Д. Глызин
Publication year - 2015
Publication title -
modeling and analysis of information systems
Language(s) - English
Resource type - Journals
eISSN - 2313-5417
pISSN - 1818-1015
DOI - 10.18255/1818-1015-2013-1-30-51
Subject(s) - attractor , diffusion , chaos (operating system) , dimension (graph theory) , lyapunov exponent , statistical physics , dynamical systems theory , lyapunov function , mathematics , mathematical analysis , physics , computer science , pure mathematics , nonlinear system , thermodynamics , quantum mechanics , computer security
The phenomenon of multimode diffusion chaos is considered. For a number of examples it is shown that the Lyapunov dimension of the attractor of a distributed dynamical system increases as the diffusion coefficient tends to 0.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom