Coherent Structures in Nonlocal Dispersive Active-Dissipative Systems
نویسندگان
چکیده
منابع مشابه
Coherent Structures in Nonlocal Dispersive Active-Dissipative Systems
We analyze coherent structures in nonlocal dispersive active-dissipative nonlinear systems, using as a prototype the Kuramoto–Sivashinsky (KS) equation with an additional nonlocal term that contains stabilizing/destabilizing and dispersive parts. As for the local generalized Kuramoto–Sivashinsky (gKS) equation (see, e.g., [T. Kawahara and S. Toh, Phys. Fluids, 31 (1988), pp. 2103–2111]), we sho...
متن کاملControlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems.
We present an alternative methodology for the stabilization and control of infinite-dimensional dynamical systems exhibiting low-dimensional spatiotemporal chaos. We show that with an appropriate choice of time-dependent controls we are able to stabilize and/or control all stable or unstable solutions, including steady solutions, traveling waves (single and multipulse ones or bound states), and...
متن کاملNumerical modal analysis in dispersive and dissipative plasmonic structures
Modal analysis is an essential tool since it straightly provides the lighting conditions under which a plasmonic structure can “sing”. Modes appear as solutions of source free Maxwell’s equations. For dispersive and dissipative structures, the associated spectral problem is not standard, being generally non linear in frequency and not selfadjoint. We developed and implemented two finite element...
متن کاملContinuation of Localised Coherent Structures in Nonlocal Neural Field Equations
We study localised activity patterns in neural field equations posed on the Euclidean plane; such models are commonly used to describe the coarse-grained activity of large ensembles of cortical neurons in a spatially continuous way. We employ matrix-free Newton-Krylov solvers and perform numerical continuation of localised patterns directly on the integral form of the equation. This opens up th...
متن کاملContinuation of Localized Coherent Structures in Nonlocal Neural Field Equations
We study localised activity patterns in neural field equations posed on the Euclidean plane; such models are commonly used to describe the coarse-grained activity of large ensembles of cortical neurons in a spatially continuous way. We employ matrix-free Newton-Krylov solvers and perform numerical continuation of localised patterns directly on the integral form of the equation. This opens up th...
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: SIAM Journal on Applied Mathematics
سال: 2015
ISSN: 0036-1399,1095-712X
DOI: 10.1137/140970033