Intersection with the vertical isocline in the Liénard plane
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Publication:943764
DOI10.1016/j.na.2007.03.040zbMath1156.34030OpenAlexW1995597815MaRDI QIDQ943764
Amir Moradifam, Asadollah Aghajani
Publication date: 10 September 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.03.040
Periodic solutions to ordinary differential equations (34C25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)
Related Items (6)
THE GENERALISED LIÉNARD EQUATIONS ⋮ Unnamed Item ⋮ New conditions for the intersection of orbits with the vertical isocline of the Liénard system ⋮ Oscillation theorems for the generalized Liénard system ⋮ Sufficient conditions for the intersection of orbits with the vertical isocline of the Liénard system ⋮ Conditions for approaching the origin without intersecting the x-axis in the Liénard plane
Cites Work
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- Properties in the large of quadratic systems in the plane
- Oscillation of solutions of second-order nonlinear differential equations of Euler type
- A necessary and sufficient condition for oscillation of the generalized Liénard equation
- Intersection with the vertical isocline in the generalized Liénard equations
- When do all trajectories in the Liénard plane cross the vertical isocline?
- On the homoclinic orbits of the generalized Liénard equations
- Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane
- On periodic solutions of the system \(\dot x = y - F(x),\dot y = - g(x)\)
- On the existence of periodic solutions for Liénard's equation
- Nonlinear oscillations of second order differential equations of Euler type
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