Limit cycles of quadratic systems with a perturbed weak focus of order 3 and a saddle equilibrium at infinity

Doklady Mathematics

Volumn 82, Issue 2, 2010, Pages 693-696

  Leonov, G A ^a   Kuznetsov, N V ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EQUILIBRIUM AT INFINITY; EQUILIBRIUM STATE; LIMIT CYCLE; NUMERICAL MODELING; NUMERICAL PROCEDURES; PHASE PLANE; PHASE PORTRAIT; QUADRATIC SYSTEMS; SOLUTIONS OF NONLINEAR EQUATIONS; SPECIAL CLASS;

DELTA SIGMA MODULATION; NUMERICAL METHODS;

NONLINEAR EQUATIONS;

EID: 78649970889     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064562410050042     Document Type: Article

References (12)

1. S. L. Shi 1980 Sci. Sinica 23 153 158 0431.34024 574405
2. J. C. Artes and J. Llibre, Publ. Math, No. 41, 7-39 (1997).
3. G. A. Leonov 2009 Dokl. Phys. 54 238 241 1184.34040 10.1134/ S102833580905005X [Dokl. Akad. Nauk 426, 47-50 (2009)]
4. N. V. Kuznetsov, Stability and Oscillations of Dynamical Systems. Theory and Applications (Jyväskylä Univ., Jyväskylä, 2008).
5. G. A. Leonov N. V. Kuznetsov E. V. Kudryashova 2008 Vestn. St.-Peterburg. Univ., Ser. Math. 41 3 216 250 10.3103/S1063454108030047 2467471
6. N. V. Kuznetsov G. A. Leonov 2008 J. Vibroeng. 10 4 460 467
7. N. V. Kuznetsov and G. A. Leonov, in Dynamics and Control of Hybrid Mechanical Systems (World Sci., Singapore, 2010), pp. 7-28.
8. G. A. Leonov 2010 Prikl. Mat. Mekh. 74 1 37 73 2682743
9. N. N. Bautin 1952 Mat. Sb. 30 1 181 196 45893
10. G. A. Leonov N. V. Kuznetsov E. V. Kudryashova 2010 Tr. Inst. Mat. Mekh. Ural. Otd. Ross. Akad. Nauk 16 1 119 126
11. L. A. Cherkas J. C. Artes J. Llibre 2003 Bul. Acad. Sti-inte Rep. Moldova. Mat. 41 1 31 46 1992648
12. L. A. Cherkas and I. L. Shevtsov, Dokl. Belorus. Gos. Univ. Inform. Radioelektr., No. 1, 115-125 (2004).