Principal Asymptotics in the Problem on the Andronov–Hopf Bifurcation and Their Applications


Citar

Texto integral

Acesso aberto Acesso aberto
Acesso é fechado Acesso está concedido
Acesso é fechado Somente assinantes

Resumo

New formulas are obtained for the principal asymptotics of bifurcation solutions in the problem on the Andronov–Hopf bifurcation, leading to new algorithms for studying bifurcations in the general setting. The approach proposed in the paper allows one to consider not only the classical problems about bifurcations of codimension one but also some problems concerning bifurcations of codimension two. A new approach to the analysis of bifurcations of cycles in systems with homogeneous nonlinearities is proposed. As an application, we consider the problem on the bifurcation of periodic solutions of the van der Pol equation.

Sobre autores

M. Yumagulov

Bashkir State University

Autor responsável pela correspondência
Email: yum_mg@mail.ru
Rússia, Ufa, 450076

L. Ibragimova

Bashkir State Agrarian University

Email: yum_mg@mail.ru
Rússia, Ufa, 450001

E. Imangulova

Bashkir State University

Email: yum_mg@mail.ru
Rússia, Ufa, 450076

Arquivos suplementares

Arquivos suplementares
Ação
1. JATS XML

Declaração de direitos autorais © Pleiades Publishing, Ltd., 2017