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This paper introduces the concept of hierarchical control based output synchronization of coexisting attractor networks. Under the new framework, each dynamical node is made passive through intra co...
Abstract: Answering an old question of M.Hata, we construct an example of a 1-dimensional Peano continuum which is not homeomorphic to an attractor of IFS.
In [L-Y5] (D(6): arXiv:1003.1178 [math.SG]) we introduced the notion of Azumaya C1-manifolds with a fundamental module and morphisms therefrom to a complex manifold. In the current sequel, we use this...
We investigate the asymptotic behavior of the nonautonomous evolution problem generated by the Oscillon equation @ttu(x, t) + H@tu(x, t) − e−2Ht@xxu(x, t) + V ′(u(x, t)) = 0, x ∈ (0, 1), t...
In this paper the regularity of the global attractor for the nonlinear Schr¨odinger equation with potential is proved, i.e., the attractor is a bounded subset of a smaller functional space.
In this paper, the existence of a global periodic attractor for a third-order phase-lockedloop with tangential phase detector characteristic and frequency modulation input is provedunder some conditio...
In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E0 is considered. By a decomposition of solution op...
In this paper we prove the existence of global attractor for the generalized dissipative KdVequation on R, and give an upper bound for its Hausdorff and fractal dimensions.
In this paper the authors consider the initial boundary value problems of the generalized nonlinear strain waves in elastic waveguides and prove the existence of global attractors and the finiteness o...
期刊信息 篇名 The global attractor of a dissipative nonlinear Evolution system 语种 英文 撰写或编译 作者 简怀玉 第一作者单位 刊物名称 Chin.Ann.Math.Ser B 页面 2000,21(2) 出版日期 2000年 月 日 文章标识(ISSN) 相关项目 R^n中超曲面的曲率流和抛物型方程的粘性解

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