LIE SERIES TECHNIQUE, LIMIT CYCLE SYSTEMS AND DYNAMICAL INTEGRATION

Willi-Hans Steeb ()
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Willi-Hans Steeb: International School for Scientific Computing, Rand Afrikaans University, Auckland Park 2006, South Africa

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 08, 1143-1149

Abstract: The Lie series technique is applied to solve a class of nonlinear differential equations. We show that it includes also the dynamical integration technique. In particular systems with limit cycle behavior are studied. Differential equations with chaotic behavior are also considered with this technique.

Keywords: Dynamical integration; Lie series; Euler method; chaotic systems (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006595

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