Bo Sang, Brigita Fercec, Qin-Long Wang
Abstract:
Based on the pseudo-division algorithm, we introduce a method for
computing focal values of a class of 3-dimensional autonomous systems.
Using the
-order
focal values computation, we determine
the number of limit cycles bifurcating from each component of the center
variety (obtained by Mahdi et al). It is shown that at most four limit
cycles can be bifurcated from the center with identical quadratic
perturbations and that the bound is sharp.
Submitted September 25, 2015. Published April 26, 2016.
Math Subject Classifications: 34C05, 34C07.
Key Words: Focal value; limit cycle; Hopf bifurcation; center.
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Bo Sang School of Mathematical Sciences Liaocheng University email: sangbo_76@163.com | |
Brigita Fercec Faculty of Energy Technology University of Maribor Hocevarjev trg 1, 8270 Krsko, Slovenia email: brigita.fercec@gmail.com | |
Qin-Long Wang School of Science Hezhou University Hezhou 542800, China email: wqinlong@163.com |
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