Results 31 to 40 of about 168,344 (183)
, 2017 We provide a detailed study of the dynamics obtained by linearizing the Korteweg-de Vries equation about one of its periodic traveling waves, a cnoidal wave.
Rodrigues, L. Miguel
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Lyapunov constraints and global asymptotic stabilization
Journal of Geometric Mechanics, 2011 In this paper, we develop a method for stabilizing underactuated mechanical systems by imposing kinematic constraints (more precisely Lyapunov constraints). If these constraints can be implemented by actuators, i.e., if there exists a related constraint force exerted by the actuators, then the existence of a Lyapunov function for the system under ...
Grillo, Sergio +2 more
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Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay
Journal of Applied Mathematics, 2014 We study the permanence, extinction, and global asymptotic stability for a nonautonomous malaria transmission model with distributed time delay. We establish some sufficient conditions on the permanence and extinction of the disease by using inequality ...
Xiaohong Zhang, Jianwen Jia, Xinyu Song
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Global asymptotic stability of a general biased min‐consensus protocol
IET Control Theory & Applications, 2021 In this paper, a general biased min‐consensus protocol for continuous‐time multi‐agent systems is presented. In this protocol, agents considered as sources maintain static states, while the state of each non‐source agent evolves using a general min ...
Yuanqiu Mo, Lanlin Yu, Changbin Yu
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Discrete Dynamics in Nature and Society, 2018 We investigate the global asymptotic stability of the following second order rational difference equation of the form xn+1=Bxnxn-1+F/bxnxn-1+cxn-12, n=0,1,…, where the parameters B, F, b, and c and initial conditions x-1 and x0 are positive real numbers.
M. R. S. Kulenović +3 more
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Global Stability of Traveling Waves for the Lotka–Volterra Competition System with Three Species
Mathematics, 2023 The stability of traveling waves for the Lotka–Volterra competition system with three species is investigated in this paper. Specifically, we first show the asymptotic behavior of traveling wave solutions and then establish the local stability and the ...
Shulin Hu, Chaohong Pan, Lin Wang
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Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions [PDF]
, 2011 In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. Global existence and asymptotic stability of solutions starting in a stable set are proved.
Andrews +36 more
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Strong cellularity and global asymptotic stability [PDF]
Fundamenta Mathematicae, 1991 A closed subset \(C\) of a Banach space \(X\) is called a cell in \(X\) if the pairs (\(B(1),\partial B(1)\)) and (\(C,\partial C\)) are homeomorphic, where \(B(1)\) (resp., \(\partial B(1)\)) is the closed ball (resp., the sphere) of radius 1 centered at \(0_ X\). A subset \(A\) of \(X\) is cellular if there is a sequence \(\{C_ n\}\) of cells in \(X\)
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Discrete Dynamics in Nature and Society, 2021 We present the bifurcation results for the difference equation xn+1=xn2/axn2+xn−12+f where a and f are positive numbers and the initial conditions x−1 and x0 are nonnegative numbers.
M. R. S. Kulenović +2 more
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Convergence results for continuous-time dynamics arising in ant colony optimization
, 2013 This paper studies the asymptotic behavior of several continuous-time dynamical systems which are analogs of ant colony optimization algorithms that solve shortest path problems. Local asymptotic stability of the equilibrium corresponding to the shortest
Bhaya, Amit +3 more
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