Results 11 to 20 of about 4,601 (266)
Structure of the Global Attractors in a Model for Ectoparasite Borne Diseases
Biomath, 2012 We delineate a mathematical model for the dynamics of the spread of ectoparasites and the diseases transmitted by them. We present how the dynamics of the system depends on the three reproduction numbers belonging to three of the four possible equilibria
Attila Dénes, Gergely Röst
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Compact global attractors of discrete inclusions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 The aim of this paper is the study of the existence of compact global attractors of discrete inclusions and control systems. More precisely, on the metric space \(W\), the authors consider a discrete inclusion \(u_{t+1}\in F(u_t)\), associated with \({\mathfrak M}:= \{f_j,j\in J\}\), where \(F(u)= \{f(u)\mid f\in{\mathfrak M}\}\) for all \(u\in W ...
D. CHEBAN, MAMMANA, Cristiana
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Demonstratio Mathematica, 2023 The Kirchhoff model is derived from the vibration problem of stretchable strings. This article focuses on the long-time dynamics of a class of higher-order coupled Kirchhoff systems with nonlinear strong damping.
Lv Penghui, Lin Guoguang, Lv Xiaojun
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Global Attractor for Partial Functional Differential Equations with State-Dependent Delay
Abstract and Applied Analysis, 2013 This work aims to investigate the existence of global attractors for a class of partial functional differential equations with state-dependent delay. Using the classic theory about global attractors in infinite dimensional dynamical systems, we obtain ...
Zhimin He, Bo Du
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Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
Journal of Applied Mathematics, 2014 Based on the recent theory of time-dependent global attractors in the works of Conti et al. (2013) and di Plinio et al. (2011), we prove the existence of time-dependent global attractors as well as the regularity of the time-dependent global attractor ...
Fang-hong Zhang
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Global attractor for the Cahn-Hilliard system [PDF]
Bulletin of the Australian Mathematical Society, 1994 The Cahn-Hilliard system, a natural extension of the single Cahn-Hilliard equation in the case of multicomponent alloys, will be shown to generate a dissipative semigroup on the phase space ℋ = [H2(Ω)]m. Following Hale's ideas and based on the existence and form of the Lyapunov functional, our main result will be the existence of a global attractor on ...
Cholewa, Jan W., Dlotko, Tomasz
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Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis, 2000 We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions.
Alexei V. Kapustian, José Valero
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Қарағанды университетінің хабаршысы. Математика сериясыWe consider the reaction–diffusion system of equations with rapidly oscillating terms in the equation and in boundary conditions in a domain with locally periodic oscillating boundary.
G.F. Azhmoldaev +3 more
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Mathematics, 2021 A problem of the noise-induced generation and shifts of phantom attractors in nonlinear dynamical systems is considered. On the basis of the model describing interaction of the climate and vegetation we study the probabilistic mechanisms of noise-induced
Lev Ryashko +2 more
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On the regularity of global attractors
Discrete and Continuous Dynamical Systems, 2009 11 ...
CONTI, MONICA, PATA, VITTORINO
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