scientific article; zbMATH DE number 1751356
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Publication:4534372
zbMath1008.34027MaRDI QIDQ4534372
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Publication date: 25 March 2003
Full work available at URL: http://www.ams.org/distribution/mmj/vol1-4-2001/ilyashenko-panov.pdf
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Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)
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Complex Methods for Bounds on the Number of Periodic Solutions with an Application to a Neural Model ⋮ Centennial History of Hilbert's 16th Problem ⋮ Limit cycles of the classical Liénard differential systems: a survey on the Lins Neto, de Melo and Pugh's conjecture ⋮ On the Number of Limit Cycles of Discontinuous Liénard Polynomial Differential Systems ⋮ Sufficient conditions for the existence of at least \(n\) or exactly \(n\) limit cycles for the Liénard differential systems ⋮ An upper estimate for the number of limit cycles of even-degree Liénard equations in the focus case ⋮ Asymptotic lower bounds on Hilbert numbers using canard cycles ⋮ On the number of zeros of an analytic perturbation of the identically zero function on a compact set ⋮ Book Review: Limit cycles of differential equations ⋮ Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations ⋮ On the number of limit cycles of a monodromic polynomial vector field on the plane
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