About the connection between spectral reversible and hamiltonian dynamical systems

Author(s):  Yu.P. Virchenko, Belgorod National Research University, Belgorod, Russia, virch@bsu.edu.ru

A.V. Subbotin, Belgorod National Research University, Belgorod, Russia

Issue:  Volume 49, №27

Rubric:  Physics. Mathematical modeling

Annotation:  The general concept about spectral reversibility of autonomous dynamical systems is introduced. It is shown that any autonomous hamiltonian system is the spectral reversible one. It is proved the conjecture that generators of linear systems which are obtained by linearization of each given spectral reversible system may be linearly transformed on the basis of differentiable matrix-function U(X) into generators of linear hamiltonian systems

Keywords:  Hamiltonian system, linearized system, spectral reversibility, linear transformation, generator

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