NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2014, Vol.17, No.3, pp.336-339

Some Extremal Properties of the Solutions of Ordinary Differential Equations Systems
M. R.Petrichenko and D. W. Serow

Based on variables doubling procedure the extremals flow immersion into the trajectories bunch has been considered. The conditions for existence of extremals have been obtained. The Lyapunov function for a doubled linearized system has been constructed.


Key words: ordinary differential equations, finite-dimensional Hamiltonian systems, procedure of variables doubling

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