Spatiotemporal consequences of relaxation time scales in threshold-coupled systems.
نویسندگان
چکیده
We study a class of models incorporating threshold-activated coupling on a lattice of chaotic elements. In such systems, the relaxation time allowed between chaotic updates determines the intrinsic driving rate due to the local chaos, and we show that there exists an inverse cascade from fixed spatial profiles to spatiotemporal chaos, as the relaxation time grows shorter. We analyze how this spectrum of spatiotemporal transitions arises from the competing time scales of the local chaos and the propagation of coupling.
منابع مشابه
A hybrid scheme of single relaxation time lattice Boltzmann and finite volume methods coupled with discrete ordinates method for combined natural convection and volumetric radiation in an enclosure
This paper is focused on the application of hybrid Single relaxation time lattice Boltzmann and finite volume methods in conjunction with discrete ordinates method to simulate coupled natural convection and volumetric radiation in differentially heated enclosure, filled with an absorbing, emitting and non-scattering gray medium. In this work, the velocity and temperature fields are calculated u...
متن کاملAssessing spatiotemporal variability of drought trend in Iran using RDI index
Drought is one of the natural phenomena which occurs in all climates in different parts of the world. Iran is located in the dry belt of the world. The increase of desertification, drought reoccurrence, and destruction by human in this geographical region needs more studies on spatial and temporal trend of rainfall. In this study, trends of climatic drought during 1975-76/ 2004-05 in seasonal a...
متن کامل2 00 2 Local dimension and finite time prediction in spatiotemporal chaotic systems
We show how a recently introduced statistics [Patil et al, Phys. Rev. Lett. 81 5878 (2001)] provides a direct relationship between dimension and predictability in spatiotemporal chaotic systems. Regions of low dimension are identified as having high predictability and vice-versa. This conclusion is reached by using methods from dynamical systems theory and Bayesian modelling. We emphasize in th...
متن کاملStochastic resonance with spatiotemporal signal controlled by time delays.
Stochastic resonance in two coupled threshold elements with input periodic signals shifted in phase is studied. For fixed phase shift and coupling strength the signal-to-noise ratio at the output of each element can be maximized by introducing proper time delays in the coupling terms which cancel the effect of the phase shift. This shows that in systems of coupled elements driven by spatiotempo...
متن کاملRelaxation in yield stress systems through elastically interacting activated events.
We study consequences of long-range elasticity in thermally assisted dynamics of yield stress materials. Within a two-dimensional mesoscopic model we calculate the mean-square displacement and the dynamical structure factor for tracer particle trajectories. The ballistic regime at short time scales is associated with a compressed exponential decay in the dynamical structure factor, followed by ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 73 2 Pt 2 شماره
صفحات -
تاریخ انتشار 2006