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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Steeb, WH., Scholes, T. & Hardy, Y. Time-Dependent First Integrals, Nonlinear Dynamical Systems, and Numerical Integration. Int J Theor Phys 44, 1617–1620 (2005). https://doi.org/10.1007/s10773-005-4833-4
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DOI: https://doi.org/10.1007/s10773-005-4833-4