Results 41 to 50 of about 1,291,688 (320)
, 2018 In this paper, we first establish some sufficient conditions for the existence and construction of a random exponential attractor for a continuous cocycle on a separable Banach space.
Zhaojuan Wang, Shengfan Zhou
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Coexistence of exponentially many chaotic spin-glass attractors [PDF]
Physical Review E, 2011 A chaotic network of size $N$ with delayed interactions which resembles a pseudo-inverse associative memory neural network is investigated. For a load $ =P/N<1$, where $P$ stands for the number of stored patterns, the chaotic network functions as an associative memory of 2P attractors with macroscopic basin of attractions which decrease with ...
M. Zigzag +3 more
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EXPONENTIAL ATTRACTOR FOR AN ADSORBATE-INDUCED PHASE TRANSITION MODEL
, 2002 Tohru Tsujikawa, Atsushi Yagi
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Global and exponential attractors for a Ginzburg-Landau model of superfluidity [PDF]
Discrete & Continuous Dynamical Systems - S, 2011 39 ...
Alessia Berti +2 more
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Mathematical Modelling and Analysis, 2016 In this paper, we consider a non-autonomous generalized Cahn-Hilliard equation with biological applications. It is shown that a pullback attractor of the equation exists when the external force has exponential growth.
Ning Duan
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, 2018 This paper studies the exponential attractor for a class of the Kirchhoff-type equations with strongly damped terms and source terms. The exponential attractor is also called the inertial fractal set, which is an intermediate step between global ...
Guoguang Lin, X. Xia
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Chaotic systems with variable indexs for image encryption application
Scientific Reports, 2022 A new chaotic system is obtained by changing the number of unknown parameters. The dynamical behavior of the chaotic system is investigated by the exponential change of the single unknown parameter and the state variable in the nonlinear term of the ...
Minxiu Yan, Jingfeng Jie, Ping Zhang
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Global Stability of Approximation for Exponential Attractors
Funkcialaj Ekvacioj, 2004 This paper is concerned with the initial value problem for some diffusion system which describes the process of a pattern formation of biological individuals by chemotaixis and growth. In the paper Osaki et al. [13], exponential attractors have been constructed for the dynamical system determined by this problem.
Atsushi Yagi, Masashi Aida
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The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
Population Ecology, EarlyView.We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
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The global attractors and exponential attractors for a class of nonlinear damping Kirchhoff equation
JOURNAL OF ADVANCES IN MATHEMATICS, 2016 This paper consider the long time behavior of a class of nonlinear damped Kirchhoff equation    2 tt 1 t t u u u u u f x ï² ï€«ï¡ ï€ï§ï„ ï€ ï¡ ï€«ï¢ ïƒ‘ ï„ ï€½ . Study the attractor problem with initial boundary value conditions, then using priori estimate and the Galerkin method prove existence and uniqueness of solution, we ...
Huixian Zhu, Chengfei Ai, Guoguang Lin
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