Introducing Randomness into First-Order and Second-Order Deterministic Differential Equations
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-42, 42 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-02
Country of Publication
Egypt
No. of Pages
42
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Moxnes, John F.& Hausken, Kjell. 2010. Introducing Randomness into First-Order and Second-Order Deterministic Differential Equations. Advances in Mathematical Physics،Vol. 2010, no. 2010, pp.1-42.
https://search.emarefa.net/detail/BIM-477306
Modern Language Association (MLA)
Moxnes, John F.& Hausken, Kjell. Introducing Randomness into First-Order and Second-Order Deterministic Differential Equations. Advances in Mathematical Physics No. 2010 (2010), pp.1-42.
https://search.emarefa.net/detail/BIM-477306
American Medical Association (AMA)
Moxnes, John F.& Hausken, Kjell. Introducing Randomness into First-Order and Second-Order Deterministic Differential Equations. Advances in Mathematical Physics. 2010. Vol. 2010, no. 2010, pp.1-42.
https://search.emarefa.net/detail/BIM-477306
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477306