Abstract
For a pair of differential operators A and B with periodic coefficients we construct their differential resultant and derive condition for their commutativity. By considering this condition as a stationary Lax representation we are able to treat completely integrable dynamical systems. As special cases we obtain Hénon-Heiles dynamical systems. We propose algorithms to do this by using the powerful methods of computer algebra and performing symbolic calculations in Maple13 and Reduce4. © 2010 Springer-Verlag Berlin Heidelberg.
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CITATION STYLE
Kostova, Z., Kostov, N., & Gerdjikov, V. (2010). Differential resultant, computer algebra and completely integrable dynamical systems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6244 LNCS, pp. 148–161). https://doi.org/10.1007/978-3-642-15274-0_13
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