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Tian, Jing

On the number of limit cycles of a piecewise quadratic near-Hamiltonian system. (English) Zbl 1470.34093

Abstr. Appl. Anal. 2014, Article ID 385103, 10 p. (2014).
Summary: This paper is concerned with the problem for the maximal number of limit cycles for a quadratic piecewise near-Hamiltonian system. By using the method of the first order Melnikov function, we find that it can have 8 limit cycles.

MSC:

34C07 Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert’s 16th problem and ramifications) for ordinary differential equations
34A36 Discontinuous ordinary differential equations
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\textit{J. Tian}, Abstr. Appl. Anal. 2014, Article ID 385103, 10 p. (2014; Zbl 1470.34093)
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References:

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