Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane

DOI10.1016/j.aml.2005.07.005zbMath1102.34309OpenAlexW2041178146MaRDI QIDQ2488739

Asadollah Aghajani, Amir Moradifam

Publication date: 11 May 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.07.005

zbMATH Keywords

Liénard systemoscillationperiodic solution

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items

On the homoclinic orbits of the generalized Liénard equations, THE GENERALISED LIÉNARD EQUATIONS, Unnamed Item, New conditions for the intersection of orbits with the vertical isocline of the Liénard system, Oscillation of solutions of second-order nonlinear differential equations of Euler type, Oscillation theorems for the generalized Liénard system, Sufficient conditions for the intersection of orbits with the vertical isocline of the Liénard system, Oscillations for Liénard type equations, Intersection with the vertical isocline in the Liénard plane, Intersection with the vertical isocline in the generalized Liénard equations

Cites Work

• A necessary and sufficient condition for oscillation of the generalized Liénard equation
• On the qualitative behaviour of solutions of Liénard equation
• When do all trajectories in the Liénard plane cross the vertical isocline?
• On periodic solutions of the system \(\dot x = y - F(x),\dot y = - g(x)\)
• On the generalized Lienard equation with negative damping
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