The center-focus problem for a system with homogeneous nonlinearities in the case of zero eigenvalues of the linear part

Differential Equations

Volumn 39, Issue 2, 2003, Pages 155-164

  Andreev, A F ^a,b,c   Sadovskii, A P ^a,b,c   Tsikalyuk, V A ^a,b,c  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b BELARUSIAN STATE UNIVERSITY   (Belarus)

^c YANKA KUPALA STATE UNIVERSITY OF GRODNO   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043025126     PISSN: 00122661     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025192613518     Document Type: Article

References (11)

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.
4. Sadovskii, A.P., Differents. Uravn., 1968, vol. 4, no. 11, pp. 2002-2009.
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. 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.
7. Lyapunov, A.M., Obshchaya zadacha ob ustoichivosti dvizheniya (General Problem of Motion Stability), Moscow, 1950.
8. Andronov, A.A., Leontovich, E.A., Gordon, I.I., and Maier, A.G., Kachestvennaya teoriya dinami-cheskikh sistem vtorogo poryadka (Qualitative Theory of Second-Order Dynamical Systems), Moscow, 1966.
9. Romanovskii, V.G., Vestn. LGU. Matematika, Mekhanika, Astronomiya, 1986, vol. 19, no. 4, pp. 82-87.
10. Bibikov, Yu.N., Kurs obyknovennykh differentsial'nykh uravnenii (Course of Ordinary Differential Equations), Moscow, 1991.
11. Bryuno, A.D., Lokal'nyi metod nelineinogo analiza differentsial'nykh uravnenii (A Local Method of Nonlinear Analysis of Differential Equations), Moscow, 1979.