Results 161 to 170 of about 3,276,106 (201)

Quasi-stability regions of nonlinear dynamical systems: theory

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1996
The concept of a stability region (region of attraction) of nonlinear dynamical systems is widely accepted in many fields such as engineering and the sciences. When utilizing this concept, the Lyapunov function approach has been found to give rather conservative estimations of the stability regions of many nonlinear systems.
null Hsiao-Dong Chiang, L. Fekih-Ahmed
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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-Stability of Real Coded Finite Populations

2014
This contribution analyzes dynamics of mean and variance of real chromosomes in consecutive populations of an Evolutionary Algorithm with selection and mutation. Quasi-stable state is characterized with an area in which population mean and variance will remain roughly unchanged for many generations. Size of the area can be indirectly estimated from the
Jaroslaw Arabas, Rafal Biedrzycki
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On the quasi-stability criteria of monic matrix polynomials

Journal of Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xuzhou Zhan, Bohui Ban, Yongjian Hu
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Thermodynamic quasi-stability of super entropic BTZ black hole

International Journal of Modern Physics A, 2022
We know that criteria for thermodynamic stability of a most general black hole appears in the form of a series of inequalities connecting second-order derivatives of the black hole mass with respect to its parameters. Quasi-stable black holes satisfy some of these stability criteria in a certain regime of parameter space, but they never satisfy all ...
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Quasi-Stability Criteria for Continuous Memristive Neural Networks with Interval Delays

Communications in Nonlinear Science and Numerical Simulation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Youming Xin, Jiaheng Zhang, Zunshui Cheng, Jinde Cao   +3 more
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Quasi-stability regions of nonlinear dynamical systems: optimal estimations

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1996
In this paper, we develop an effective scheme to estimate stability regions by using an energy function that is a generalization of the Lyapunov functions. It is shown that the scheme can optimally estimate stability regions. A fairly comprehensive study for the structure of the constant energy surface lying inside the quasi-stability region is ...
null Hsiao-Dong Chiang, L. Fekih-Ahmed
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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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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 continuity for wave equation with a fractional damping and a small delay

Mathematical Methods in the Applied Sciences
In this paper, we shall deal with the long‐time dynamics of a nonlinear system of wave equation with a fractional damping and a small delay. Inspired by the works of Chueshov and Lasiecka on the property of quasi‐stability of dynamic systems, we show first the quasi‐stability property holds for the problem considered here and then prove the existence ...
Yuming Qin, Xiaoyue Han, Ke Wang
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