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Two-dimensional quadratic systems as a Liénard equation

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Publication:1387145
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zbMath0898.34024MaRDI QIDQ1387145

Gennady Alekseevich Leonov

Publication date: 10 August 1998

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)


zbMATH Keywords

comparison methodnumber of limit cycles


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)


Related Items (5)

Non-existence of limit cycles for a quadratic system in class II ⋮ Efficient methods in the search for periodic oscillations in dynamical systems ⋮ A criterion for the existence of four limit cycles in quadratic systems ⋮ Lyapunov quantities and limit cycles of two-dimensional dynamical systems. Analytical methods and symbolic computation ⋮ Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space




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