Limit Cycles of Li´enard-Type Dynamical Systems
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Valery A. Gaiko
valery.gaiko@yahoo.com
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Abstract
In this paper, using geometric properties of the field rotation parameters, we present a solution of Smale‘s Thirteenth Problem on the maximum number of limit cycles for Li´enard‘s polynomial system, generalize the obtained results for special classes of polynomial systems, and complete the global qualitative analysis of a piecewise linear dynamical system approximating a Li´enard-type polynomial system with an arbitrary number of finite singularities.
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Published
2008-10-01
How to Cite
[1]
V. A. Gaiko, “Limit Cycles of Li´enard-Type Dynamical Systems”, CUBO, vol. 10, no. 3, pp. 115–132, Oct. 2008.
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