| STRANGE ATTRACTORS ON PSEUDOSPECTRAL SOLUTIONS FOR DISSIPATIVE ZAKHAROV EQUATIONS |
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| 作者姓名： | 马书清 常谦顺 |
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| 作者单位： | Institute of Applied Mathematics，the Chinese Academy of Sciences，Beijing 100080，China，Institute of Applied Mathematics，the Chinese Academy of Sciences，Beijing 100080，China |
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| 摘 要： | In this paper, the pseudospectral method to solve the dissipative Zakharov equations is used. Its convergence is proved by priori estimates. The existence of the global attractors and the estimates of dimension are presented. A class of steady state solutions is also disscussed. The numerical results show that if the steady state solutions satisfy some special conditions, they become unstable and limit cycles and strange attractors will occur for very small perturbations . The largest Lyapunov exponent and analysis of the linearized system are applied to explain these phenomena.
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STRANGE ATTRACTORS ON PSEUDOSPECTRAL SOLUTIONS FOR DISSIPATIVE ZAKHAROV EQUATIONS |
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| Ma Shuqing Chang Qianshun
Institute of Applied Mathematics,the Chinese Academy of Sciences,Beijing ,China.STRANGE ATTRACTORS ON PSEUDOSPECTRAL SOLUTIONS FOR DISSIPATIVE ZAKHAROV EQUATIONS[J].Acta Mathematica Scientia,2004,24(3). |
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| Authors: | Ma Shuqing Chang Qianshun
Institute of Applied Mathematics the Chinese Academy of Sciences Beijing China |
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| Institution: | Ma Shuqing Chang Qianshun
Institute of Applied Mathematics,the Chinese Academy of Sciences,Beijing 100080,China |
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| Abstract: | In this paper, the pseudospcctral method to solve the dissipative Zakharov equations is used. Its convergence is proved by priori estinates. The existence of the global attractors and the estimates of dimension are presented. A class of steady state solutions is also disscussed. The numerical results show that if the steady state solutions satisfy some special conditions, they become unstable and limit cycles and strange attractors will occur for very small perturbations.The largest Lyapunov exponent and analysis of the lincarized system are applied to explain these phenomena. |
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| Keywords: | Strange attractors pseudospectral method Zakharov equations |
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