Siberian Mathematical Journal

, Volume 42, Issue 5, pp 991–995 | Cite as

Bifurcation of an Invariant Torus of a System of Differential Equations in the Degenerate Case

  • Yu. V. Usachev


Differential Equation Invariant Torus 
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  1. 1.
    Bibikov Yu. N., Multifrequency Nonlinear Oscillations and Their Bifurcations [in Russian], Leningrad Univ., Leningrad (1991).Google Scholar
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    Langford W. F., “Periodic and steady-state mode interactions lead to tori,” SIAM J. Appl. Math., 37, No. 1, 22-48 (1979).Google Scholar
  3. 3.
    Volkov D. Yu., “Invariant tori bifurcation from an equilibrium state in the presence of zero eigenvalues,” Vestnik Leningrad Univ. Ser. I, 2, No. 6, 1988, pp. 102-103.Google Scholar
  4. 4.
    Bryuno A. D., A Local Method of Nonlinear Analysis of Differential Equations [in Russian], Nauka, Moscow (1979).Google Scholar

Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • Yu. V. Usachev
    • 1
  1. 1.Ryazan' Institute of Airborne TroopsRyazan'

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