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非线性模型内外噪音的统一描述 被引量:1

Unified Description of Internal and External Noise in Nonlinear Models
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摘要 本文研究非线模型中内、外噪音的统一描述.通过对噪音的实现求平均,得到广义福克-普朗克方程(GFPE).发现从某一阶矩开始,出现内、外噪音的耦合效应.文中还对Verhulst模型进行了具体的讨论. A unified description of nonlinear systems in which the internal and external noises are simultaneously considered is presented. A generalized Fokker-Planck equation is obtained and from the moment equation derived, the coupled effect between the internal and external noises is found.
出处 《华中理工大学学报》 CSCD 北大核心 1990年第3期19-24,共6页 Journal of Huazhong University of Science and Technology
关键词 非线性模型 噪音 耦合效应 Nonlinear model Noise Coupled effect Generalized Fokker-Planck equation
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参考文献3

  • 1J. J. Brey,J. M. Casado,M. Morillo. Combined effects of additive and multiplicative noise in a Fokker-Planck model[J] 1987,Zeitschrift für Physik B Condensed Matter(2):263~269
  • 2M. A. Rodriguez,L. Pesquera,M. San Miguel,J. M. Sancho. Master equation description of external poisson white noise in finite systems[J] 1985,Journal of Statistical Physics(5-6):669~724
  • 3J. M. Sancho,M. San Miguel. Theory of external two-state Markov noise in the presence of internal fluctuations[J] 1984,Journal of Statistical Physics(1-2):151~172

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