Comments to the problem on branching of periodical solutions at Andronov-Hopf bifurcation in differential equations with degenerated operator before the derivative
A. A. Kyashkin1, B. V. Loginov2, P. A. Shamanaev3
| Annotation | By the methods of branching theory of solutions to nonlinear equations it is investigated the perturbation problem for $n$-multiple pair of pure imaginary eigenvalues at the presence of generalized Jordan chains at Poincar\'{e}-Andronov-Hopf bifurcation. |
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| Keywords | Andronov-Hopf bifurcation, perturbation of the critical pairs of eigenvalues. |
1Graduate student of Applied Mathematics,, Differential Equations and Theoretical Mechanics Chair, Mordovian State University after N. P. Ogarev, Saransk; andrej_kjashkin@list.ru.%
2Professor of the Chair "Higher Mathematics" , Ulyanovsk State Technical University, Ulyanovsk; loginov@ulstu.ru%
3Associate Professor of Applied Mathematics, Differential Equations and Theoretical Mechanics Chair,; Mordovian State University after N. P. Ogarev,; Saransk;linebreak korspa@yandex.ru.%
Citation: A. A. Kyashkin, B. V. Loginov, P. A. Shamanaev, "[Comments to the problem on branching of periodical solutions at Andronov-Hopf bifurcation in differential equations with degenerated operator before the derivative]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:4 (2014) 33–40 (In Russian)
