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排序方式: 共有97条查询结果,搜索用时 31 毫秒
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Lijuan Zhang Yuming Shi Hua Shao Qiuling Huang 《Journal of Difference Equations and Applications》2016,22(11):1747-1759
This paper focuses on chaos induced by weak A-coupled-expansion of non-autonomous discrete systems in compact subsets of metric spaces and in bounded and closed subsets of complete metric spaces, separately. A new concept of weak A-coupled-expansion for non-autonomous discrete systems, whose condition is weaker than that of A-coupled-expansion, is introduced, and several new criteria of chaos induced by weak A-coupled-expansion of non-autonomous discrete systems are established. By applying some close relationships between chaotic dynamical behaviours of the original system and its induced systems, two criteria of chaos are established. One example is provided for illustration. 相似文献
4.
Rafael Luís 《Journal of Difference Equations and Applications》2016,22(10):1389-1403
This paper is an extension of an earlier paper that dealt with global dynamics in autonomous triangular maps. In the current paper, we extend the results on global dynamics of autonomous triangular maps to periodic non-autonomous triangular maps. We show that, under certain conditions, the orbit of every point in a periodic non-autonomous triangular map converges to a fixed point (respectively, periodic orbit of period p) if and only if there is no periodic orbit of prime period two (respectively, periodic orbits of prime period greater than p). 相似文献
5.
Convergence Rate of Solutions to a Hyperbolic Equation with $p(x)$-Laplacian Operator and Non-Autonomous Damping 下载免费PDF全文
This paper concerns the convergence rate of solutions to a hyperbolic
equation with $p(x)$-Laplacian operator and non-autonomous damping. We apply the Faedo-Galerkin method to establish the existence of global solutions,
and then use some ideas from the study of second order dynamical system to
get the strong convergence relationship between the global solutions and the
steady solution. Some differential inequality arguments and a new Lyapunov
functional are proved to show the explicit convergence rate of the trajectories. 相似文献
6.
李定武 《纯粹数学与应用数学》2004,20(3):273-278
利用不动点指数理论,得到了高阶非自治非线性中立型差分方程多正解的存在性准则,推广了有关文献中的相关结论. 相似文献
7.
《Communications in Nonlinear Science & Numerical Simulation》2014,19(9):2974-2982
For some abstract classes of nonlinear non-autonomous systems with variable and state-dependent delays existence, non-existence and multiplicity of periodic solutions are discussed. To illustrate the efficiency of the method, we obtain some well-known results for applied systems as corollaries of our existence theorems. 相似文献
8.
Abdelhadi Elharfi 《Journal of Mathematical Analysis and Applications》2006,323(1):497-512
This paper studies the well-posedness of a class of non-autonomous neutral control systems in Banach spaces. We prove that such systems are represented by absolutely regular non-autonomous linear systems in the sense of Schnaubelt [R. Schnaubelt, Feedback for non-autonomous regular linear systems, SIAM J. Control Optim. 41 (2002) 1141-1165]. This paper can be considered as the non-autonomous version of the work presented in [H. Bounit, S. Hadd, Regular linear systems governed by neutral FDEs, J. Math. Anal. Appl. 320 (2006) 836-858]. 相似文献
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本文利用比较原理结合构造Lyapunov泛函的方法,讨论了一类纯时滞n种群 Lotka-Volterre竞争反馈控制生态系统的的全局吸引性,得到一些新结果.这些结果补充和完善了Fan,Wong和Agarwal的结果. 相似文献
10.
This paper and the companion one [Cafagna, D. and Grassi, G., Nonlinear Dynamics, this issue] present the new phenomenon of chaotic beats in non-autonomous Chua's circuit, driven by two sinusoidal inputs
with slightly different frequencies. In particular, in this paper the behaviour of the proposed circuit is analyzed both in
time-domain and state-space, confirming the chaotic nature of the phenomenon and the effectiveness of the design. 相似文献