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 |
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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