Limit cycles of the lienard equation with discontinuous coefficients

Doklady Physics

Volumn 54, Issue 5, 2009, Pages 238-241

  Leonov, G A ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DISCONTINUOUS COEFFICIENTS; ELECTRON SYSTEMS; INFINITE INTERVAL; INITIAL POINT; INVERSE TRANSFORMATIONS; LIENARD EQUATION; LIENARD SYSTEM; LIMIT CYCLE; LYAPUNOV VALUE; PARAMETER PERTURBATION; QUADRATIC SYSTEMS; SMOOTH FUNCTIONS; SUFFICIENT CONDITIONS;

EID: 66449106381     PISSN: 10283358     EISSN: None     Source Type: Journal    
DOI: 10.1134/S102833580905005X     Document Type: Article

References (12)

1. A. A. Andronov, A. A. Witt, and S. É. Khaikin, Theory of Oscillators (Fizmatgiz, Moscow, 1959; Pergamon Press, Oxford, 1966).
2. S. Lefshets, Differential Equations: Geometric Theory (Inostrannaya Literatura, Moscow, 1961; Interscience, New York, 1957).
3. G. A. Leonov 1997 Different. Equats. and Dyn. Syst. 5 3/4 289
4. G. A. Leonov 1998 Ukr. Mat. Zhurn. 50 1 48
5. G. A. Leonov, Vestn. S.-Peterburg. Gos. Univ.: Ser. 1, Matemat., Mekhan., Astron., No. 4, 48 (2006).
6. G. A. Leonov 2008 Intern. J. Bifurcation and Chaos 18 3 877
7. G. A. Leonov, N. V. Kuznetsov, and E. V. Kudryashova, Vestn. S.-Peterburg. Gos. Univ.: Ser. 1, Matemat., Mekhan., Astron., No. 3 (2008).
8. J. Chavarriga M. Gran 2003 Sci. Ser. A 9 1
9. J. Li 2003 Intern. J. Bifurcation and Chaos 13 1 47
10. S. Lynch, in Differential Equations with Symbolic Computations, Ser. Trend in Mathematics, London, p. 1 (2005).
11. P. Yu and G. Chen, Nonlinear Dynamics, No. 3, 409 (2008).
12. S. L. Shi 1980 Sci. Sin. 23 153