Author/Authors :
Rasoul Asheghi، نويسنده , , Hamid R.Z. Zangeneh، نويسنده ,
Abstract :
In this work we consider the number of limit cycles that can bifurcate from periodic
orbits located inside a double cuspidal loop of the quintic Hamiltonian vector field XH D
y @
@x
x3.x2 1/ @
@y under small perturbations of the form ". C x2 C
x4/y @
@y , where
0
Keywords :
Zeros of Abelian integrals , Melnikov functions , Limit cycles , Hilbert’s 16th problem
Journal title :
Computers and Mathematics with Applications
Journal title :
Computers and Mathematics with Applications