Results 1 to 10 of about 3,091 (257)

Finite fractal dimensionality of attractors for nonlocal evolution equations

Electronic Journal of Differential Equations, 2013
In this work we consider the Dirichlet problem governed by a non local evolution equation. We prove the existence of exponential attractors for the flow generated by this problem, and as a consequence we obtain the finite dimensionality of the global
Severino Horacio da Silva, Flank D. M. Bezerra   +1 more
doaj  

Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator

Abstract and Applied Analysis, 2012
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
doaj   +1 more source

An LMI Approach for Dynamics of Switched Cellular Neural Networks with Mixed Delays

Abstract and Applied Analysis, 2013
This paper considers the dynamics of switched cellular neural networks (CNNs) with mixed delays. With the help of the Lyapnnov function combined with the average dwell time method and linear matrix inequalities (LMIs) technique, some novel sufficient ...
Chuangxia Huang, Hanfeng Kuang, Xiaohong Chen, Fenghua Wen   +3 more
doaj   +1 more source

Solution to a high-performance incommensurate exponential oscillator system and its FPGA implementation for video encryption [PDF]

AIP Advances
This paper proposes a novel incommensurate exponential oscillator (IEO) system, which significantly enhances system performance through the incorporation of exponential nonlinear terms.
Minxiu Yan, Junjie Liu, Chong Li
doaj   +1 more source

Existence of exponential attractors for the plate equations with strong damping

Electronic Journal of Differential Equations, 2013
We show the existence of $(H_0^2(Omega)imes L^2(Omega), H_0^2(Omega)imes H_0^2(Omega))$-global attractors for plate equations with critical nonlinearity when $gin H^{-2}(Omega)$.
Qiaozhen Ma, Yun Yang, Xiaoliang Zhang
doaj  

Asymptotic Behavior of Switched Stochastic Delayed Cellular Neural Networks via Average Dwell Time Method

Abstract and Applied Analysis, 2013
The asymptotic behavior of a class of switched stochastic cellular neural networks (CNNs) with mixed delays (discrete time-varying delays and distributed time-varying delays) is investigated in this paper. Employing the average dwell time approach (ADT),
Hanfeng Kuang, Jinbo Liu, Xi Chen, Jie Mao, Linjie He   +4 more
doaj   +1 more source

Cosmology of light towers and swampland constraints

Journal of High Energy Physics
We study the dynamical evolution of FLRW cosmologies in the presence of a tower of scalar light states and a runaway exponential potential. Some of the attractor solutions have problematic behaviours from the EFT point of view, which we use to argue for ...
Gonzalo F. Casas, Ignacio Ruiz
doaj   +1 more source

Attractors for damped semilinear wave equations with singularly perturbed acoustic boundary conditions

Electronic Journal of Differential Equations, 2018
Under consideration is the damped semilinear wave equation $$ u_{tt}+u_t-\Delta u+u+f(u)=0 $$ in a bounded domain $\Omega$ in $\mathbb{R}^3$ subject to an acoustic boundary condition with a singular perturbation, which we term "massless acoustic ...
Joseph L. Shomberg
doaj  

Lagrangian predictability of high-resolution regional models: the special case of the Gulf of Mexico [PDF]

Nonlinear Processes in Geophysics, 2004
The Lagrangian prediction skill (model ability to reproduce Lagrangian drifter trajectories) of the nowcast/forecast system developed for the Gulf of Mexico at the University of Colorado at Boulder is examined through comparison with real drifter ...
P. C. Chu, L. M. Ivanov, L. M. Ivanov, L. H. Kantha, T. M. Margolina, O. V. Melnichenko, Y. A. Poberezhny   +6 more
doaj  

Exponential attractors for a nonclassical diffusion equation

Electronic Journal of Differential Equations, 2009
Summary: In this article, we prove the existence of exponential attractors for a nonclassical diffusion equation in \({H^{2}(\Omega)}\cap{H}^{1}_{0}(\Omega)\) when the space dimension is less than 4.
Qiaozhen Ma, Yong-Feng Liu
openaire   +2 more sources