Abstract
© 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1829-1840 |
| Journal | Nonlinear Dynamics |
| Volume | 90 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Nov 2017 |
Keywords
- Discontinuous piecewise linear differential systems
- Pseudo-Hopf bifurcation
- Sliding segment
- Unfolding
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Cite this
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