Abstract: We propose a systematic approach to the problem of isochronicity in Hamiltonian dynamics. In particular, we present an explicit necessary and sufficient condition for isochronicity in the case of 1DOF in terms of the Taylor expansion of the Hamiltonian function.
Bio: Dmitry Treschev: Director of Steklov Mathematical Institute of RAS, Academician of RAS (2016), Invited speaker at ICM (2002), Lyapunov prize of RAS (2007), Russian Federation prize for young scientists (1995).
