非扰动耗散Hamiltonian振幅波方程的整体吸引子被引量：2

ATTRACTOR FOR THE UNPERTURBED DISSIPATIVE HAMILTONIAN AMPLITUDE WAVE

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摘要本文研究了非扰动耗散Hamiltonian振幅波方程的长时间行为.通过算子分解和能量方程,我们分别得到了在E0和E1空间的整体吸引子. The long time behavior of solution for the unperturbed dissipative Hamiltonian amplitude wave equation is studied. By means of operator decomposition and energy equation, the global attractor in phase spaces E0 and E1 are obtained respectively.

作者戴正德杨林黄健

机构地区云南大学网络教育学院上海交通大学应用数学系云南大学数理学院

出处《应用数学学报》 CSCD 北大核心 2004年第4期577-592,共16页 Acta Mathematicae Applicatae Sinica

基金国家自然科学基金(10361007号)资助项目

关键词整体吸引子长时间行为扰动耗散振幅算子能量方程空间 Global attractor, operator decomposition, unperturbed system

分类号 O175 [理学—基础数学]

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参考文献2

1戴正德,郭柏灵.GLOBAL ATTRACTOR OF NONLINEAR STRAIN WAVES IN ELASTIC WAVEGUIDES[J].Acta Mathematica Scientia,2000,20(3):322-334. 被引量：14
2Zheng-de DaiDepartment of Mathematics, Yunnan University, Kunming 650091, China.Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities[J].Acta Mathematicae Applicatae Sinica,2002,18(2):263-272. 被引量：3

二级参考文献2

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2戴正德,郭柏灵,陈凤新.GLOBAL ATTRACTOR OF A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS[J].Acta Mathematica Scientia,1998,18(4):404-412. 被引量：1

共引文献14

1茶丽芳,林国广.耗散Camassa-Holm方程的整体吸引子[J].云南大学学报（自然科学版）,2009,31(S2):348-353. 被引量：2
2戴正德,蒋慕蓉.EXISTENCE TIME OF SOLUTION OF THE (1+2)D KNOBLOCH EQUATION WITH INITIAL-BOUNDARY VALUE PROBLEM[J].Acta Mathematica Scientia,2000,20(4):451-460. 被引量：2
3戴正德.非谐晶体中弱阻尼非线性波吸引子(英文)[J].工程数学学报,2004,21(6):915-919.
4SHANGYadong,GUOBoling.FINITE DIMENSIONAL BEHAVIOR FOR THE DISSIPATIVE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATIONS[J].Journal of Systems Science & Complexity,2003,16(2):236-248. 被引量：1
5尚亚东.一类拟抛物粘性扩散方程的整体吸引子(英文)[J].应用数学,2005,18(2):209-218. 被引量：2
6陈光淦,蒲志林,张健.无界区域R^3上的非线性应变波方程与薛定谔方程藕合方程组的指数吸引子[J].应用数学学报,2005,28(3):517-526. 被引量：4
7ZHANG Rui-feng,GUO Bo-ling.Global attractor for Hirota equation[J].Applied Mathematics(A Journal of Chinese Universities),2008,23(1):57-64. 被引量：1
8戴正德,杜先云.GLOBAL ATTRACTOR FOR THE NONLINEAR STRAIN WAVES IN ELASTIC WAVEGUIDES[J].Acta Mathematicae Applicatae Sinica,2001,17(2):260-270. 被引量：1
9Yang Jing-Mei.An Empirical Method for Estimating Background Stratospheric Aerosol Extinction Profiles over China[J].Atmospheric and Oceanic Science Letters,2012,5(2):95-101. 被引量：2
10尹金艳,李扬荣,赵慧君.带可乘白噪音的耗散Hamiltonian振幅调制波不稳定方程的随机吸引子[J].西南师范大学学报（自然科学版）,2013,38(4):44-48.

同被引文献7

1TEMAN R. Inifinite dimensional dynamical systems in mechanics and physics[M]. Berlin:Springer-Verlag, 2000.
2ARANSON I, KRAMER L. The world of the complex Ginzburg- Landau equation [ J ]. Rev Mod Phys, 2002,74 : 99 - 143.
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引证文献2

1杨林,黄琼伟,戴正德.双核非线性光导纤维材料的整体吸引子[J].湖南大学学报（自然科学版）,2009,36(3):59-62. 被引量：2
2Jinyan Yin,Yangrong Li,Huijun Zhao.Random Attractors for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities with Additive Noise[J].Journal of Applied Mathematics and Physics,2013,1(3):37-46.

二级引证文献2

1罗宏.Chemotaxis-Growth系统的整体吸引子[J].四川师范大学学报（自然科学版）,2010,33(5):577-580. 被引量：2
2陈兆蕙,张星红,唐跃龙.带可乘白噪音的非线性耦合复Ginzburg-Landau方程组的随机吸引子[J].南昌大学学报（理科版）,2018,42(5):409-414.

1李栋龙,戴正德.耗散Hamiltonian振幅方程在E_1空间的指数吸引子[J].广西工学院学报,1998,9(3):10-16.
2李有慧,冀小明.弱阻尼非线性方程Schrodinger-Boussinesq方程的惯性分形集[J].西南民族学院学报（自然科学版）,2001,27(3):281-285.

应用数学学报

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非扰动耗散Hamiltonian振幅波方程的整体吸引子被引量：2

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非扰动耗散Hamiltonian振幅波方程的整体吸引子 被引量：2

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非扰动耗散Hamiltonian振幅波方程的整体吸引子被引量：2