When do all trajectories in the Liénard plane cross the vertical isocline?
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Publication:1902876
DOI10.1007/BF01210622zbMath0840.34033OpenAlexW2087611822MaRDI QIDQ1902876
Publication date: 24 January 1996
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01210622
Periodic solutions to ordinary differential equations (34C25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)
Related Items (19)
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 ⋮ Global asymptotic stability of nonautonomous systems of Liénard type. ⋮ The qualitative behavior of a second-order system with zero diagonal coefficient. ⋮ 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 ⋮ Explicit conditions for asymptotic stability of stochastic Liénard-type equations with Markovian switching ⋮ A geometric approach to periodically forced dynamical systems in presence of a separatrix ⋮ On some properties of Liénard systems ⋮ Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane ⋮ Intersection with the vertical isocline in the generalized Liénard equations ⋮ The continuation of solutions for certain nonlinear differential equations and its applications ⋮ Nonlinear oscillations of second order differential equations of Euler type ⋮ On the Liénard system with two isoclines ⋮ On global asymptotic stability of systems of Liénard type ⋮ On the qualitative behavior of a class of generalized Liénard planar systems
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