Sufficient conditions for the intersection of orbits with the vertical isocline of the Liénard system

DOI10.1016/j.mcm.2011.12.035zbMath1286.37026OpenAlexW3152240803MaRDI QIDQ2450475

Yong-In Kim, Kueiming Lo, Xiaojing Yang

Publication date: 14 May 2014

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.12.035

zbMATH Keywords

Liénard systemoscillationvertical isocline

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items

Conditions for approaching the origin without intersecting the x-axis in the Liénard plane

Cites Work

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• 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 Liénard plane
• The generalized Liénard systems
• When do all trajectories in the Liénard plane cross the vertical isocline?
• New conditions for the intersection of orbits with the vertical isocline of the Liénard system
• Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane