Centres and limit cycles for an extended Kukles system
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Date
2007-09-06
Authors
Hill, Joe M.
Lloyd, Noel
Pearson, Jane M.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We present conditions for the origin to be a centre for a class of cubic systems. Some of the centre conditions are determined by finding complicated invariant functions. We also investigate the coexistence of fine foci and the simultaneous bifurcation of limit cycles from them.
Description
Keywords
Nonlinear differential equations, Invariant curves, Limit cycles
Citation
Hill, J. M., Lloyd, N. G., & Pearson, J. M. (2007). Centres and limit cycles for an extended Kukles system. <i>Electronic Journal of Differential Equations, 2007</i>(119), pp. 1-23.
Rights
Attribution 4.0 International