Семинар Отдела динамических систем
ИММ УрО РАН
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.