Long range action in networks of chaotic elements
نویسندگان
چکیده
منابع مشابه
Long range action in networks of chaotic elements
We show that under certain simple assumptions on the topology (structure) of networks of strongly interacting chaotic elements a phenomenon of long range action takes place, namely that the asymptotic (as time goes to infinity) dynamics of an arbitrary large network is completely determined by its boundary conditions. This phenomenon takes place under very mild and robust assumptions on local d...
متن کاملLong-Range Correlations in the Wave Functions of Chaotic Systems.
Vladimir I. Fal’ko1,3,4 and K. B. Efetov2,5 1School of Physics & Chemistry, Lancaster University, LA1 4YB Lancaster, United Kingdom 2Max-Planck-Institut für Physik Komplexer Systeme, Heisenbergstrasse 1, 70569 Stuttgart, Germany 3Department of Theoretical Physics, Oxford University, 1 Keble Road, OX1 3NP, Oxford, United Kingdom 4Institute of Solid State Physics RAS, Chernogolovka, 142432 Russia...
متن کاملLong range interactions between oriented texture elements
Long range interactions between texture elements (short, oriented line segments) were examined. Specifically, we studied the influence of a background array of texture elements on the detectability of a target element (separated from the background by an intermediate textured region) using textures like those of Caputo (Vis. Res. 1996, 36, 2815-2826). We found that, in general, when the backgro...
متن کاملLong chaotic transients in complex networks.
We show that long chaotic transients dominate the dynamics of randomly diluted networks of pulse-coupled oscillators. This contrasts with the rapid convergence towards limit cycle attractors found in networks of globally coupled units. The lengths of the transients strongly depend on the network connectivity and vary by several orders of magnitude, with maximum transient lengths at intermediate...
متن کاملC*-Algebra numerical range of quadratic elements
It is shown that the result of Tso-Wu on the elliptical shape of the numerical range of quadratic operators holds also for the C*-algebra numerical range.
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: Nonlinearity
سال: 2005
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/19/2/005