BIFURCATION OF LIMIT CYCLES IN PIECEWISE SMOOTH SYSTEMS VIA MELNIKOV FUNCTION

Maoan Han; Lijuan Sheng

doi:10.11948/2015061

2015 Volume 5 Issue 4

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Maoan Han, Lijuan Sheng. BIFURCATION OF LIMIT CYCLES IN PIECEWISE SMOOTH SYSTEMS VIA MELNIKOV FUNCTION[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 809-815. doi: 10.11948/2015061

Citation:

Maoan Han, Lijuan Sheng. BIFURCATION OF LIMIT CYCLES IN PIECEWISE SMOOTH SYSTEMS VIA MELNIKOV FUNCTION[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 809-815. doi: 10.11948/2015061

BIFURCATION OF LIMIT CYCLES IN PIECEWISE SMOOTH SYSTEMS VIA MELNIKOV FUNCTION

Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China

Abstract

Abstract

In this short paper, we present some remarks on the role of the first order Melnikov functions in studying the number of limit cycles of piecewise smooth near-Hamiltonian systems on the plane.
- Non-smooth system /
- Melnikov function /
- limit cycle bifurcation
MSC: 37G15;34C05

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References

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