Bifurcation analysis in a class of piecewise nonlinear systems with a nonsmooth heteroclinic loop

Y Liu, F Li, P Dang - International Journal of Bifurcation and Chaos, 2018 - World Scientific
We consider the bifurcation in a class of piecewise polynomial systems with piecewise
polynomial perturbations. The corresponding unperturbed system is supposed to possess …

On the limit cycles for continuous and discontinuous cubic differential systems

Z Jiang - Discrete Dynamics in Nature and Society, 2016 - Wiley Online Library
We study the number of limit cycles for the quadratic polynomial differential systems x˙=-y+ x
2, y˙= x+ xy having an isochronous center with continuous and discontinuous cubic …