| Autor: |
Yumagulov, M. G., Akmanova, S. V., Kopylova, N. A. |
| Zdroj: |
Lobachevskii Journal of Mathematics; Sep2020, Vol. 41 Issue 9, p1918-1923, 6p |
| Abstrakt: |
The article discusses the problems about the main scenarios of dynamical systems' local bifurcations described by non-autonomous differential equations with periodic right-hand side. New formulae for calculating Lyapunov quantities are proposed. The proposed formulae are obtained on the basis of the general operator method for studying local bifurcations and do not require a transition to normal forms and the usage of the theorems about the central manifold. The indicated method allowed for obtaining new bifurcation formulae for studying the main scenarios of local bifurcations. The paper shows how these bifurcation formulae lead to new formulae for calculating Lyapunov quantities in the problems about bifurcations of forced oscillations and Andronov–Hopf bifurcations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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