Results 31 to 40 of about 1,859,718 (319)
Pullback exponential attractors for differential equations with variable delays
Discrete & Continuous Dynamical Systems - B, 2020 We show how recent existence results for pullback exponential attractors can be applied to non-autonomous delay differential equations with time-varying delays. Moreover, we derive explicit estimates for the fractal dimension of the attractors.
Mohamed Ali Hammami +3 more
semanticscholar +1 more source
Exponential attractors for random dynamical systems and applications [PDF]
, 2012 37 pagesThe paper is devoted to constructing a random exponential attractor for some classes of stochastic PDE's. We first prove the existence of an exponential attractor for abstract random dynamical systems and study its dependence on a parameter and ...
Shirikyan, Armen, Zelik, Sergey
core +3 more sources
Chaos in fractional order financial model with fractal–fractional derivatives
Partial Differential Equations in Applied Mathematics, 2023 Recently, a new differential operator which combines fractal differentiation and fractional differentiation with different kernels such as power law, exponential decay, and the Mittag–Leffler function has been introduced.
Krunal B. Kachhia
doaj +1 more source
Statistical procedures based on exponential scores [PDF]
, 1983 Many statistical models have been proposed in which underlying exponential distributions are assumed. Applications of such models occur in a large number of areas, for example in reliability and life-testing investigations and in the study of the ...
Young, D H
core +6 more sources
Regularity of global attractors and exponential attractors for 2D quasi-geostrophic equations with fractional dissipation [PDF]
, 2021 In this paper we investigate the regularity of global attractors and of exponential attractors for two dimensional quasi-geostrophic equations with fractional dissipation in H2α+s (T 2 ) with α > 1 2 and s > 1. We prove the exis tence of (H2α−+s (
Wang, Yejuan +2 more
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Exponential Attractors for a Doubly Nonlinear Equation
Journal of Mathematical Analysis and Applications, 1994 The authors investigate the following scalar PDE: \[ \partial_ t \beta (u) = \Delta u - g(x,u) \quad \text{on} \quad \mathbb{R}_ + \times \Omega \tag{1} \] with \(u=0\) on \(\mathbb{R}_ + \times \partial \Omega\) and \(\beta (u(0,x)= \beta (u_ 0(x))\) for \(x \in \Omega\) for some given \(u_ 0\). Here \(\Omega \subseteq \mathbb{R}^ d\) with \(d \leq 3\)
Eden, A., Rakotoson, J.M.
openaire +2 more sources
Discrete & Continuous Dynamical Systems - B, 2020 The main objective of this paper is to study the long-time behavior of solutions for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping for \begin{document}$ r>4.
Fang Li, Bo You
semanticscholar +1 more source
Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations
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
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Some cosmological consequences of higher dimensional Klein–Gordon–Rastall theory
European Physical Journal C: Particles and Fields, 2023 Using dynamical system analysis, we investigate some cosmological consequences of Rastall gravity coupled to a scalar field (called the Klein–Gordon–Rastall theory) with exponential scalar potential turned on in higher dimensions.
Tegar Ari Widianto +4 more
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Qualitative Study of a 4D Chaos Financial System
Complexity, 2018 Some dynamics of a new 4D chaotic system describing the dynamical behavior of the finance are considered. Ultimate boundedness and global attraction domain are obtained according to Lyapunov stability theory.
Fuchen Zhang +4 more
doaj +1 more source