Abstract
We study the initial value problem (IVP) for the system dx/dt = -y m, dy/dt = x n, where m and n are positive odd integers, x(0) = 1, y(0) = 0. Its solutions are periodic, and we find relations between the periods. Automatic differentiation is used to enable interesting mathematical explorations.
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© 2002 Springer Science+Business Media New York
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Flanders, H. (2002). Application of AD to a Family of Periodic Functions. In: Corliss, G., Faure, C., Griewank, A., Hascoët, L., Naumann, U. (eds) Automatic Differentiation of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0075-5_38
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DOI: https://doi.org/10.1007/978-1-4613-0075-5_38
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6543-6
Online ISBN: 978-1-4613-0075-5
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