© 2017, Springer Science+Business Media B.V. The creation or destruction of a crossing limit cycle when a sliding segment changes its stability, is known as pseudo-Hopf bifurcation. In this paper, under generic conditions, we find an unfolding for such bifurcation, and we prove the existence and uniqueness of a crossing limit cycle for this family.
- Discontinuous piecewise linear differential systems
- Pseudo-Hopf bifurcation
- Sliding segment
Castillo, J., Llibre, J., & Verduzco, F. (2017). The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems. Nonlinear Dynamics, 90(3), 1829-1840. https://doi.org/10.1007/s11071-017-3766-9