References
V. I. Yudovich,Prikl. Mat. Mekh. [J. Appl. Math. Mekh.],62, No. 1, 22–34 (1998).
L. G. Kurakin and V. I. Yudovich,Chaos,7, No. 3, 376–386 (1997).
L. G. Kurakin and V. I. Yudovich,Dokl. Ross. Akad. Nauk [Russian Acad. Sci. Dokl. Math.],358, No. 3, 346–349 (1998).
V. I. Yudovich,Prikl. Mat. Mekh. [J. Appl. Math. Mekh.] 35, No. 4, 638–655 (1971).
V. I. Arnold,Uspekhi Mat. Nauk [Russian Math. Surveys],27, No. 5, 5–220 (1972).
L. G. Kurakin and V. I. Yudovich,Dep. VINITI, No. 1074-B97 (1997).
L. G. Kurakin and V. I. Yudovich,Dep. VINITI, No. 150-B98 (1998).
V. I. Yudovich,Mat. Zametki [Math. Notes],49, No. 5, 142–148 (1991).
A. M. Lyapunov,The General Problem of Stability of Motion [in Russian], Gostekhizdat, Moscow (1950).
I. G. Malkin,Some Problems in the Theory of Nonlinear Vibrations [in Russian], Gostekhizdat, Moscow (1956).
G. V. Kamenkov,Selected Works. Vol. 2, Stability and Vibrations of Nonlinear Systems [in Russian], Nauka, Moscow (1972).
L. G. Kurakin,Mat. Zametki [Math. Notes],63, No. 4, 572–578 (1998).
Author information
Authors and Affiliations
Additional information
Translated fromMatematicheskie Zametki, Vol. 66, No. 2, pp. 315–317, August, 1999.
Rights and permissions
About this article
Cite this article
Kurakin, L.G., Yudovich, V.I. Bifurcation of a limit cycle from the equilibrium submanifold in a system with multiple cosymmetries. Math Notes 66, 254–258 (1999). https://doi.org/10.1007/BF02674887
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02674887