Results 81 to 90 of about 15,100 (198)
Uniform Attractor for the Fractional Nonautonomous Long-Short Wave Equations
Discrete Dynamics in Nature and Society, 2014 We firstly proved the existence and the uniqueness of the solution for the 2π-periodic fractional nonautonomous long-short wave equations with translation compact force by using Galerkin method and then obtained the compact uniform attractor of the ...
Huanmin Ge, Jie Xin
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Research on DC Bus Voltage Resonance Mechanism for Metro Power Supply System
Kongzhi Yu Xinxi JishuThe operational safety of metro systems depends on the stability and reliability of their power supply systems. With the continuously increased traffic density and the massive grid connection of new energy systems, metro power supply systems suffer from ...
WANG Nanqing +4 more
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Periodic Solutions of Second-Order Differential Inclusions Systems with -Laplacian
Abstract and Applied Analysis, 2012 The existence of periodic solutions for nonautonomous second-order differential inclusion systems with -Laplacian is considered. We get some existence results of periodic solutions for system, a.e. , , by using nonsmooth critical point theory.
Liang Zhang, Peng Zhang
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Chaos synchronization of a fractional nonautonomous system
Nonautonomous Dynamical Systems, 2014 In this paper we investigate the dynamic behavior of a nonautonomous fractional-order biological system.With the stability criterion of active nonlinear fractional systems, the synchronization of the studied chaotic system is obtained. On the other hand,
Hammouch Zakia, Mekkaoui Toufik
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Discrete Dynamics in Nature and Society, 2011 We propose a discrete multispecies cooperation and competition predator-prey systems. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained; for periodic case, sufficient ...
Zheyan Zhou
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Stability-Instability criteria for nonautonomous systems
Rendiconti Lincei, Matematica e Applicazioni, 2009 Nonautonomous binary systems of O.D.Es are considered. Apart from a critical case, it is shown that a temporal uniform validity of the Hurwitz conditions appear to be a basic condition to require for guaranteing the stability. Stability-instability criteria are obtained. Applications to the equation d2/d_t_2 x
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Nonautonomous second order Hamiltonian systems [PDF]
Pacific Journal of Mathematics, 2011 The author of this interesting paper studies the existence of periodic solutions for the second order nonautonomous dynamical system of the form \[ -\ddot x(t) = \nabla_xV(t,x(t)) , \] where \(x(t)=(x_1(t),\ldots ,x_n(t))\) is a map from the interval \(I=[0,T]\) to \(\mathbb{R}^n\) such that each component \(x_j(t)\) (\(j=1,\ldots ,n\)) is a periodic ...
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Nonautonomous attractors of skew-product flows with digitized driving systems
Electronic Journal of Differential Equations, 2001 The upper semicontinuity and continuity properties of pullback attractors for nonautonomous differential equations are investigated when the driving system of the generated skew-product flow is digitized.
R. A. Johnson, Peter E. Kloeden
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Nonautonomous Lotka–Volterra Systems with Delays
Journal of Differential Equations, 2002 The author studies a general nonautonomous Lotka-Volterra-type system with delays. A series of sufficient conditions for the ultimate boundedness, permanence, global attractivity, and existence and uniqueness of strictly positive solutions, positive periodic solutions, and almost-periodic solutions are established.
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Discrete Dynamics in Nature and Society, 2009 The paper discusses a nonautonomous discrete time Lotka-Volterra competitive system with pure delays and feedback controls. New sufficient conditions for which a part of the n-species is driven to extinction are established by using the method of ...
Ling Zhang +3 more
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