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Global asymptotic stability in quadratic systems
Electronic Journal of Differential EquationsA classical problem in the qualitative theory of differential systems that is relevant for its applications, is to characterize the differential systems which are globally asymptotically stable, that is differential systems having a unique equilibrium ...
Jaume Llibre, Claudia Valls
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Global Asymptotic Stability of a Rational System [PDF]
Abstract and Applied Analysis, 2014 The main goal of this paper is to investigate the global asymptotic behavior of the difference equation xn+1=β1xn/A1+yn, yn+1=β2xn+γ2yn/xn+yn, n=0,1,2,… with β1,β2,γ2,A1∈(0,∞) and the initial value (x0,y0)∈[0,∞)×[0,∞) such that x0+y0≠0.
Lin-Xia Hu, Xiu-Mei Jia
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Alexandria Engineering Journal, 2020 We consider an electrical RLC circuit in two-dimensional spaces described by a fractional-order derivative. We propose the qualitative properties of the proposed model. We analyze the local asymptotic stability and the global asymptotic stability for the
Ndolane Sene
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Some results on cascade discrete-time systems
Discrete Dynamics in Nature and Society, 2006 We present sufficient conditions for global asymptotic stability of cascade discrete-time systems. Considering failure of the global asymptotic stability in some cascade systems, we give an estimate of the region of attraction of the systems.
Xiao-Ming Bai +2 more
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Mathematics, 2023 In this paper, the global asymptotic stability and global Mittag–Leffler stability of a class of fractional-order fuzzy bidirectional associative memory (BAM) neural networks with distributed delays is investigated.
M. Syed Ali +5 more
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Global asymptotic stability of inhomogeneous iterates
International Journal of Mathematics and Mathematical Sciences, 2002 Let (M,d) be a finite-dimensional complete metric space, and {Tn} a sequence of uniformly convergent operators on M. We study the non-autonomous discrete dynamical system xn+1=Tnxn and the globally asymptotic stability of the inhomogeneous iterates of ...
Yong-Zhuo Chen
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Asymptotic Stability of Global Solutions to Non-isentropic Navier–Stokes Equations
Journal of Mathematics, 2023 This paper studies the asymptotic stability of global solutions of the three-dimensional nonisentropic compressible Navier–Stokes equations, where the initial data satisfy the “well-prepared” initial conditions, and the velocity field and temperature ...
Qingliu Li, Dandan Ren, Xinfeng Liang
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Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms
Communications in Advanced Mathematical Sciences, 2023 In this article, we discuss the global asymptotic stability of following system of difference equations with quadratic terms: $x_{i+1}=\alpha+\beta \frac{y_{i-1}}{y_{i}^{2}},\quad y_{i+1}=\alpha+\beta \frac{x_{i-1}}{x_{i}^{2} }$ where $\alpha$, $\beta ...
Mohamed Abd El-moneam
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Global Stability Analysis of a Curzon–Ahlborn Heat Engine under Different Regimes of Performance
Entropy, 2014 We present a global stability analysis of a Curzon–Ahlborn heat engine considering different regimes of performance. The stability theory is used to construct the Lyapunov functions to prove the asymptotic stability behavior around the steady state of ...
Israel Reyes-Ramírez +3 more
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Global asymptotic stability of a delayed plant disease model
Mathematics in Applied Sciences and Engineering, 2020 In this paper, we consider the following system of delayed differential equations, \[ \left\{ \begin {array}{rcl} \frac {dS(t)}{dt} & = & \sigma \phi-\beta S(t)I(t-\tau)-\eta S(t), \\ \frac {dI(t)}{dt} & = & \sigma(1-\phi)+\beta S(t)I(t-\tau)-(\eta ...
Yuming Chen, Chongwu Zheng
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