Time-Dependent First Integrals,Nonlinear Dynamical Systems,and Numerical Integration |
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| Authors: | Willi-Hans?Steeb mailto:whs@na.rau.ac.za" title=" whs@na.rau.ac.za" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Timothy?Scholes,Yorick?Hardy |
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| Affiliation: | (1) International School for Scientific Computing, Rand Afrikaans University, Auckland Park, South Africa;(2) International School for Scientific Computing, Rand Afrikaans University, Auckland Park 2006, South Africa |
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| Abstract: | ![]()
Many nonlinear dynamical systems expressed as autonomous systems of first-order ordinary differential equations admit first integrals and explicitly time-dependent first integrals. Under numerical integration these first integrals should be preserved. We discuss this case for explicitly time-dependent first integrals. |
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| Keywords: | dynamical systems first integrals numerical integration |
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