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文章基本信息

  • 标题:Introducing Randomness into First-Order and Second-Order Deterministic Differential Equations
  • 本地全文:下载
  • 作者:John F. Moxnes ; Kjell Hausken
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/509326
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We incorporate randomness into deterministic theories and compare analytically and numerically some well-known stochastic theories: the Liouville process, the Ornstein-Uhlenbeck process, and a process that is Gaussian and exponentially time correlated (Ornstein-Uhlenbeck noise). Different methods of achieving the marginal densities for correlated and uncorrelated noise are discussed. Analytical results are presented for a deterministic linear friction force and a stochastic force that is uncorrelated or exponentially correlated.
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