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Long-time predictions in nonlinear dynamicsIt is known that nonintegrable dynamical systems do not allow precise predictions concerning their behavior for arbitrary long times. The available series solutions are not uniformly convergent according to Poincare's theorem and numerical integrations lose their meaningfulness after the elapse of arbitrary long times. Two approaches are the use of existing global integrals and statistical methods. This paper presents a generalized method along the first approach. As examples long-time predictions in the classical gravitational satellite and planetary problems are treated.
Document ID
19800069191
Document Type
Conference Proceedings
Authors
Szebehely, V. (Texas, University Austin, Tex., United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1980
Subject Category
PHYSICS (GENERAL)
Meeting Information
Computational methods in nonlinear mechanics(Austin, TX)
Distribution Limits
Public
Copyright
Other