The parameter functionalization method for the problem of saddle-node bifurcations in dynamical systems
- Autores: Yumagulov M.1, Imangulova E.1
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Afiliações:
- Bashkiria State University
- Edição: Volume 78, Nº 4 (2017)
- Páginas: 630-642
- Seção: Nonlinear Systems
- URL: https://journals.rcsi.science/0005-1179/article/view/150574
- DOI: https://doi.org/10.1134/S0005117917040051
- ID: 150574
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Resumo
We propose new sufficient conditions for saddle-node bifurcations in one- and twoparametric dynamical systems obtained with the parameter functionalization method, derive asymptotic formulas for the resulting solutions, and analyze their stability. As an application, we consider the synchronization problem for periodic oscillations of an autonomous Van der Pol generator under an external harmonic influence.
Sobre autores
M. Yumagulov
Bashkiria State University
Autor responsável pela correspondência
Email: yum_mg@mail.ru
Rússia, Ufa
E. Imangulova
Bashkiria State University
Email: yum_mg@mail.ru
Rússia, Ufa