Liénard systems and the second part of Hilbert's sixteenth problem

DOI10.1016/S0362-546X(97)00200-9zbMath0889.34026MaRDI QIDQ4377204

Stephen Lynch

Publication date: 1 June 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

small amplitude limit cyclesgeneralized Liénard system

Mathematics Subject Classification ID

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

Related Items (2)

Small-amplitude limit cycles in Liénard systems via multiplicity ⋮ Generalized cubic Liénard equations

Cites Work

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• Small-amplitude limit cycles of Liénard systems
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• Limit cycles of a cubic Kolmogorov system
• Small Amplitude Limit Cycles Of The Generalized Mixed Rayleigh-Liénard Oscillator
• Cubic Lienard equations with linear damping
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• Small-amplitude limit cycles of certain Liénard systems
• A Cubic System with Eight Small-Amplitude Limit Cycles
• Small Amplitude Limit Cycles for Cubic Systems
• Limit Cycles of Liénard Equations With Non Linear Damping
• Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems
• On the Uniqueness of the Limit Cycle of the Generalized Liénard Equation
• On the nonexistence, existence and uniqueness of limit cycles
• Eleven small limit cycles in a cubic vector field
• Polynomial systems: a lower bound for the Hilbert numbers

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