Семинар Отдела динамических систем

Integrability and Reversibility in Polynomial Systems of ODEs

Valery Romanovski

(Center for Applied Mathematics and Theoretical Physics and Faculty of Natural Science and Mathematics, University of Maribor, Slovenia)

The problem of finding systems with one or few independent first integrals inside families of polynomial systems of ODEs depending on parameters is considered. Computational approaches for computing necessary conditions of integrability and invariant surfaces are proposed. Interconnection of time-reversibility and integrability is discussed and algorithms for finding time-reversible systems inside of parametric polynomial families are described.