Skip to main content
Log in

The Center-Focus Problem for a System with Homogeneous Nonlinearities in the Case of Zero Eigenvalues of the Linear Part

  • Published:
Differential Equations Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

REFERENCES

  1. Andreev, A.F., Osobye tochki differentsial'nykh uravnenii(Singular Points of Differential Equations), Minsk, 1979.

  2. Amel'kin, V.V., Lukashevich, N.A., and Sadovskii, A.P., Nelineinye kolebaniya v sistemakh vtorogo poryadka(Nonlinear Oscillations in Second-Order Systems), Minsk, 1982.

  3. Andreev, A.F., Prikl. Mat. Mekh., 1953, vol. 17, no. 3, pp. 333-338.

    Google Scholar 

  4. Sadovskii, A.P., Differents. Uravn., 1968, vol. 4, no. 11, pp. 2002-2009.

    Google Scholar 

  5. Gunning, R. and Rossi, H., Analytic Functions of Several Complex Variables, Englewood-Cliffs, 1965. Translated under the title Analiticheskie funktsii mnogikh kompleksnykh peremennykh, Moscow: Mir, 1969.

  6. Lyapunov, A.M., Obshchaya zadacha ob ustoichivosti dvizheniya(General Problem of Motion Stability), Moscow, 1950.

  7. Andronov, A.A., Leontovich, E.A., Gordon, I.I., and Maier, A.G., Kachestvennaya teoriya dinamicheskikh sistem vtorogo poryadka (Qualitative Theory of Second-Order Dynamical Systems), Moscow, 1966.

  8. Romanovskii, V.G., Vestn. LGU. Matematika, Mekhanika, Astronomiya, 1986, vol. 19, no. 4, pp. 82-7.

    Google Scholar 

  9. Bibikov, Yu.N., Kurs obyknovennykh differentsial'nykh uravnenii(Course of Ordinary Differential Equations), Moscow, 1991.

  10. Bryuno, A.D., Lokal'nyi metod nelineinogo analiza differentsial'nykh uravnenii(A Local Method of Nonlinear Analysis of Differential Equations), Moscow, 1979. DIFFERENTIAL EQUATIONS Vol. 39 No. 2 2003

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Andreev, A.F., Sadovskii, A.P. & Tsikalyuk, V.A. The Center-Focus Problem for a System with Homogeneous Nonlinearities in the Case of Zero Eigenvalues of the Linear Part. Differential Equations 39, 155–164 (2003). https://doi.org/10.1023/A:1025192613518

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025192613518

Keywords

Navigation