Real Forms of Complexified Hamiltonian Dynamics

Kyuldjiev, Assen; Gerdjikov, Vladimir; Marmo, Giuseppe; Vilasi, Gaetano

doi:10.7546/giq-3-2002-318-327

VOL. 3 | 2002 Real Forms of Complexified Hamiltonian Dynamics

Chapter Author(s) Assen Kyuldjiev, Vladimir Gerdjikov, Giuseppe Marmo, Gaetano Vilasi

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

Geom. Integrability & Quantization, 2002: 318-327 (2002) DOI: 10.7546/giq-3-2002-318-327

Abstract

Complexified Hamiltonian dynamical systems are considered with subsequent construction of real forms of Hamiltonian dynamics by using compatible complex structures or involution operators mimicking the properties of complex conjugation. This provides a method of associating a class of real dynamical systems to a given initial (also real) one. Examples are given and the problem of integrability of the derived dynamical systems is also disscused.