Liénard systems, limit cycles, and Melnikov theory

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 1, 1998, Pages 340-344

  Sanjuán, Miguel A F ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4244172969     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.340     Document Type: Article

References (9)

1. H. Giacomini and S. Neukirch, Phys. Rev. E 56, 3809 (1997).
2. T. R. Blows and L. M. Perko, SIAM (Soc. Ind. Appl. Math.) Rev. 36, 341 (1994)
3. L. Perko, Differential Equations and Dynamical Systems (Springer-Verlag, New York, 1991).
4. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Springer-Verlag, New York, 1983);
5. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer-Verlag, New York, 1990).
6. H. Poincaré, Acta Math. 13, 1 (1890). A good historical review of the influence of the pioneering work of H. Poincaré in the modern theory of dynamical systems can be found in ACMAA8
7. P. Holmes, Phys. Rep. 193, 137 (1990)
8. K. Yagasaki, SIAM J. Appl. Math. 56, 1720 (1996)
9. A. Lins, W. de Melo, and C. Pugh, On Liénard’s Equation, Lecture Notes in Mathematics Vol. 597 (Springer-Verlag, New York, 1977).