شماره ركورد كنفرانس :
3735
عنوان مقاله :
Bifurcation of limit cycles from a heteroclinic loop with a cusp of order two and a hyperbolic saddle
پديدآورندگان :
Asheghi Rasoul r.asheghi@cc.iut.ac.ir Isfahan University of Technology , Moghimi Pegah p.moghimi@math.iut.ac.ir Isfahan University of Technology
كليدواژه :
Hilbert s 16th problem , Melnikov function , Cusp of order two.
عنوان كنفرانس :
اولين كنفرانس منطقه اي علوم رياضي و كاربردها
چكيده فارسي :
In this paper, we study the expansion of the first Melnikov function of a near-Hamiltonian system near a heteroclinic loop with a cusp of order two and a hyperbolic saddle, obtaining formulas to compute the first coefficients of the expansion. Then we use the results to study the problem of limit cycle bifurcation for some polynomial Lie nard systems.
