Global bifurcations of limit cycles in the Kukles cubic system
classification
🧮 math.DS
keywords
systemcubiccycleskukleslimitproblemsolvealternatively
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In this paper, using our bifurcational geometric approach, we solve the problem on the maximum number and distribution of limit cycles in 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. We also apply alternatively the Wintner-Perko termination principle to solve this problem.
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