Results 271 to 280 of about 70,227 (292)

Quasi‐stability and upper semicontinuity for coupled parabolic equations with memory

Studies in Applied Mathematics, 2020
AbstractThis current study deals with the long‐time dynamics of a nonlinear system of coupled parabolic equations with memory. The system describes the thermodiffusion phenomenon where the fluxes of mass diffusion and heat depend on the past history of the chemical potential and the temperature gradients, respectively, according to Gurtin‐Pipkin's law.
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Quasi-stabilized ionic gratings in photorefractive media for multiplex holography

Journal of the Optical Society of America B, 1997
We investigate photorefractive media for which quasi-stabilized ionic gratings can be used to prolong readout lifetime. We use coupled-transport-mode theory to describe the coevolution of photorefractive gratings that arise from free-electron transport and ionic transport.
Matthew C. Bashaw, John F. Heanue
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Quasi-stability and attractors for a nonlinear coupled wave system with memory

Bollettino dell'Unione Matematica Italiana, 2020
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M. J. Dos Santos, R. F. C. Lobato, S. M. S. Cordeiro, A. C. B. Dos Santos   +3 more
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Finite-Dimensional Behavior and Quasi-Stability

2015
This chapter deals mainly with the dimension theory of global attractors. We present some background and develop a relatively new approach which is based on some ideas due to O. Ladyzhenskaya (see Ladyzhenskaya [142] and the literature cited there) and assumes minimal smoothness properties of evolutions.
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On the quasi-stability criteria of monic matrix polynomials

Journal of Computational and Applied Mathematics
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Zhan, Xuzhou, Ban, Bohui, Hu, Yongjian
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Quasi stability via lyapunov functions for impulsive differential systems

Applicable Analysis, 1988
Suitably modifying the usual stability notions and employing Lyapunov functions,stability results relating to a given solution of impulsive differential system have been ...
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Quasi-Stability Criteria for Continuous Memristive Neural Networks with Interval Delays

Communications in Nonlinear Science and Numerical Simulation
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Youming Xin, Jiaheng Zhang, Zunshui Cheng, Jinde Cao   +3 more
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Quasi‐stabilization/synchronization of quaternion‐valued memristive neural networks: Norm approach

Mathematical Methods in the Applied Sciences
This paper examines the quasi‐stabilization and synchronization of memristive neural networks in high dimensional forms. First, new criteria for the existence of the equilibrium point (EP) are delivered by contraction mapping principle. Then, a new Lyapunov function described with one‐norm form is imported for quasi‐stabilization/synchronization of the
Ruoxia Li, Jinde Cao
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Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping

Applied Mathematics & Optimization
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Yuming Qin, Xiaoyue Han
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Exponentially quasi‐stabilization control of quaternion‐valued memristive neural networks

Asian Journal of Control
AbstractThe problems of exponential quasi‐stabilization of quaternion‐valued memristive networks are further studied in this article. Different from the common Lyapunov function method in the literature, where the conclusions are derived based on the algebraic inequality, in this article, a novel norm (Frobenius norm) is constructed by using the ...
Xiaohang Yang, Ruoxia Li
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