Detection of the onset of numerical chaotic instabilities by lyapunov exponents

It is commonly found in the fixed-step numerical integration of nonlinear differential equations that the size of the integration step is opposite related to the numerical stability of the scheme and to the speed of computation. We present a procedure that establishes a criterion to select the larg...

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Bibliographic Details
Main Author: Alicia Serfaty De Markus
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022601000127