We provide the phase portraits in the Poincare disk for all the linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis given by the Hamiltonian function H(x, y) = 1/2 (x2 + y2) + ax4y + bx2y3 + cy5 in function of its parameters.
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|Publication status||Published - 1 Mar 2018|
- Hamiltonian systems
- Linear type centers
- Phase portraits
- Polynomial vector fields
- Quartic polynomial