Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps
| Autor: | G. R. W. Quispel, David I. McLaren, Charalampos A. Evripidou, Brynjulf Owren, Benjamin K. Tapley, Elena Celledoni, P. H. van der Kamp |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Nonlinear Sciences - Exactly Solvable and Integrable Systems First integrals FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics 16. Peace & justice Symbolic computation 01 natural sciences 010305 fluids & plasmas Algebra Modeling and Simulation 0103 physical sciences ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Exactly Solvable and Integrable Systems (nlin.SI) 010306 general physics Mathematical Physics Mathematics |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical |
| Popis: | In this Letter we propose a systematic approach for detecting and calculating preserved measures and integrals of a rational map. The approach is based on the use of cofactors and Discrete Darboux Polynomials and relies on the use of symbolic algebra tools. Given sufficient computing power, all rational preserved integrals can be found. We show, in two examples, how to use this method to detect and determine preserved measures and integrals of the considered rational maps. 8 pages, 1 Figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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