Differential and Integral Equations
- Differential Integral Equations
- Volume 10, Number 4 (1997), 717-738.
Oscillatory solutions and rotatory solutions for a periodically forced Liénard system
We give a necessary and sufficient condition for all solutions of a periodically forced Liénard system to be oscillatory. This paper also deals with the question when all trajectories keep on rotating around the origin. Several examples and global phase portraits are given to illustrate our results.
Differential Integral Equations, Volume 10, Number 4 (1997), 717-738.
First available in Project Euclid: 1 May 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
Secondary: 34C15: Nonlinear oscillations, coupled oscillators
Sugie, Jitsuro; Hara, Tadayuki. Oscillatory solutions and rotatory solutions for a periodically forced Liénard system. Differential Integral Equations 10 (1997), no. 4, 717--738. https://projecteuclid.org/euclid.die/1367438638