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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive
Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2011 Volume 11, Issue 1, Pages 3–14 (Mi vngu64)
About the Nondegeneration Conditions in Andronov–Hopf Bifurcation

E. P. Volokitinab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University

Abstract: We consider various methods to derive Lyapunov values and demonstrate that the derived formulas are equivalent when we study Andronov–Hopf bifurcation.

Keywords: Andronov–Hopf bifurcation, Lyapunov values, Poincaré–Lyapunov constants.

UDC: 517.925

Received: 16.04.2011


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