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Segregation of stability domains of the Hamilton nonlinear system

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Abstract

Consideration was given to an algorithm for segregation of the parts of stability domains in the space of parameters of the Hamiltonian linear system to which the Bryuno theorem of formal stability of the nonlinear Hamiltonian system is applicable. The algorithm was illustrated by a five-parameter problem with four degrees of freedom.

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Original Russian Text © A.B. Batkhin, 2013, published in Avtomatika i Telemekhanika, 2013, No. 8, pp. 47–64.

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Batkhin, A.B. Segregation of stability domains of the Hamilton nonlinear system. Autom Remote Control 74, 1269–1283 (2013). https://doi.org/10.1134/S0005117913080043

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