Analytical methods in numerical ODEs

Speaker
Yaakov Krasnov - BIU
Date
12/05/2013 - 10:30Add to Calendar 2013-05-12 10:30:00 2013-05-12 10:30:00 Analytical methods in numerical ODEs The development of new topological and algebraic tools related to the non-linear spectral theory and generalization of complex structures in commutative non-associative algebras for solution to polynomial ODEs is proposed. The obtained methods will be used to study qualitative behavior of homogeneous polynomial systems (including the existence of bounded/periodic solutions, existence of an algebraic first integrals, etc.). The results may be applied to studying classical quadratic systems arising in chemistry, solid body physics and engineering. אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

The development of new topological and algebraic tools related to the non-linear spectral theory and generalization of complex structures in commutative non-associative algebras for solution to polynomial ODEs is proposed.

The obtained methods will be used to study qualitative behavior of homogeneous polynomial systems (including the existence of bounded/periodic solutions, existence of an algebraic first integrals, etc.).

The results may be applied to studying classical quadratic systems arising in chemistry, solid body physics and engineering.

Last Updated Date : 08/05/2013