Results 1 to 10 of about 2,861 (240)
The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System [PDF]
The Scientific World Journal, 2016 First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
doaj +2 more sources
Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions [PDF]
Journal of Applied Mathematics, 2013 We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in by proving that the corresponding semigroup satisfies the enhanced ...
Zhao-hui Fan
doaj +4 more sources
Pullback Exponential Attractor for Second Order Nonautonomous Lattice System [PDF]
Discrete Dynamics in Nature and Society, 2014 We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences.
Shengfan Zhou, Hong Chen, Zhaojuan Wang
doaj +3 more sources
The Exponential Attractors for the g-Navier-Stokes Equations [PDF]
Journal of Function Spaces and Applications, 2012 We consider the exponential attractors for the two-dimensional g-Navier-Stokes equations in bounded domain Ω. We establish the existence of the exponential attractor in L2(Ω).
Delin Wu, Jicheng Tao
doaj +3 more sources
Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations [PDF]
Journal of Mathematics, 2020 In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of ℝ3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent ...
Cuncai Liu, Fengjuan Meng, Chang Zhang
doaj +3 more sources
Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation
Discrete Dynamics in Nature and Society, 2013 We study the lattice dynamical system of a nonlinear Boussinesq equation. We first verify the Lipschitz continuity of the continuous semigroup associated with the system.
Min Zhao, Shengfan Zhou
doaj +3 more sources
A New Chaotic Attractor with Quadratic Exponential Nonlinear Term from Chen’s Attractor
International Journal of Analysis and Applications, 2014 In this paper a new three-dimensional chaotic system is proposed, which relies on a nonlinear exponential term and a nonlinear quadratic cross term necessary for folding trajectories.
Iftikhar Ahmed, Chunlai Mu, Fuchen Zhang
doaj +3 more sources
Chevron Pattern Equations: Exponential Attractor and Global Stabilization [PDF]
Vietnam Journal of Mathematics, 2021 The initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential attractor and the stabilization of the zero steady state solution through application of a finite-dimensional feedback control is proved in two spatial dimensions.
Habiba Kalantarova +2 more
openaire +4 more sources
Systemic modeling of chaotic EEG during human sleep
Informatics in Medicine Unlocked, 2023 The use of chaos theory in modeling biological signals is becoming increasingly common, especially in EEG signal processing for predicting and detecting different brain states.
Mahmoud Alipour +1 more
doaj +1 more source
EXPONENTIAL ATTRACTOR FOR HINDMARSH-ROSE EQUATIONS IN NEURODYNAMICS
Journal of Applied Analysis & Computation, 2020 The existence of an exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in the study of neurodynamics is proved through uniform estimates together with a new theorem on the squeezing property of an abstract reaction-diffusion equation also proved in this paper.
Phan, Chi, You, Yuncheng
openaire +2 more sources