This article is cited in 6 papers

Topical issue

Detection of the Stability Domains of Nonlinear Hamiltonian Systems

A. B. Batkhin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

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.


Received: 15.01.2013

 English version: Automation and Remote Control, 2013, 74:8, 1269–1283

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