Title: Limit cycle bifurcations of a general Liénard system with polynomial restoring and damping functions

Authors: Valery A. Gaiko

Addresses: United Institute of Informatics Problems, National Academy of Sciences of Belarus, Belarus

Abstract: Applying a canonical system with field rotation parameters and using geometric properties of the spirals filling the interior and exterior domains of limit cycles, we solve the limit cycle problem for a general Liénard system with polynomial restoring and damping functions.

Keywords: planar polynomial dynamical systems; Liénard system; limit cycle bifurcation; field rotation parameters; singular point; damping; polynomial restoring.

DOI: 10.1504/IJDSDE.2012.049903

International Journal of Dynamical Systems and Differential Equations, 2012 Vol.4 No.3, pp.242 - 254

Published online: 18 Oct 2012 *

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