Existence and non-existence of homoclinic trajectories of the Liénard system

Discrete and Continuous Dynamical Systems

Volumn 2, Issue 2, 1996, Pages 237-254

  Sugie, Jitsuro ^a   Hara, Tadayuki ^b  

^a SHINSHU UNIVERSITY   (Japan)

^b Osaka Prefecture University   (Japan)

Author keywords

Homoclinic trajectories; Li nard system; Periodic solutions

Indexed keywords

EID: 0010534882     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1996.2.237     Document Type: Article

References (7)

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3. T. Hara and J. Sugie, When all trajectories in the Liénard plane cross the vertical isocline?, Nonlinear Diff. Eq. Appl. 2 (1995), 527-551.
4. T. Hara and T. Yoneyama, On the global center of generalized Liénard equation and its application to stability problems, Funkcial. Ekvac. 28 (1985), 171-192.
5. G. Sansone and R. Conti, Non-Linear Differential Equations, Pergamon Press, New York, 1964.
6. J. Sugie, The global centre for the Liénard system, Nonlinear Anal. 17 (1991), 333-345.
7. J. Sugie and T. Yoneyama, On the Liénard system which has no periodic solutions, Math. Proc. Camb. Phil. Soc. 113 (1993), 413-422.