Results 21 to 30 of about 2,047 (259)
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
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Robust exponential attractors for a parabolic–hyperbolic phase-field system
Boundary Value Problems, 2018 In this paper, we construct a robust family of exponential attractors for a parabolic–hyperbolic phase-field system (PHPFS), which describes phase separation in material sciences, e.g., melting and solidification.
Cyril D. Enyi
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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.
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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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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
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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
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Abstract and Applied Analysis, 2013 The existence of the exponential attractors for coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities with periodic initial boundary is obtained by showing Lipschitz continuity and the ...
Gui Mu, Jun Liu
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Open sets of Axiom A flows with exponentially mixing attractors [PDF]
Proceedings of the American Mathematical Society, 2016 For any dimension d ≥ 3
Ara('u)jo, V. +2 more
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Advances in Difference Equations, 2017 The boundedness of chaotic systems plays an important role in investigating the stability of the equilibrium, estimating the Lyapunov dimension of attractors, the Hausdorff dimension of attractors, the existence of periodic solutions, chaos control, and ...
Guangyun Zhang, Fuchen Zhang, Min Xiao
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