Global bifurcation analysis of the Kukles cubic system Online publication date: Mon, 19-Nov-2018
by Valery A. Gaiko
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 8, No. 4, 2018
Abstract: In this paper, we carry out the global bifurcation analysis of the Kukles system representing a planar polynomial dynamical system with arbitrary linear and cubic right-hand sides and having an anti-saddle at the origin. Using our geometric approach and the Wintner-Perko termination principle, we solve the problem on the maximum number and distribution of limit cycles in this system.
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