Seminars: A. D. Bruno, Calculation of complex asympotics of solutions of Painleve equations

SEMINARS


Seminar on analytic theory of differential equations April 12, 2017 14:30, Moscow, Steklov Mathematical Institute, Room 440 (8 Gubkina)

Calculation of complex asympotics of solutions of Painleve equations A. D. Bruno
Abstract: In 2004 I suggested an algorithm for calculation of asympotics of solutions of polynomial differential equations. In allows to calculate asymptotical power-series power-logarithmic series, whose coefficient are constants or polynomails in $lnx$. Later it turned out that these equations can have as asymptotics Loran series in $lnx$ or in imaginary powers of $x$. These asymptotics are called complex and exotic. Now I obtained an algorithm for calulation of thee asymptotics. For some equations these coefficients are Loran polynomials. These question os considered for some Painleve equations