Abstract
We study the number of limit cycles of the discontinuous piecewise linear differential systems in ℝ2n with two zones separated by a hyperplane. Our main result shows that at most (8n - 6)n-1 limit cycles can bifurcate up to first-order expansion of the displacement function with respect to a small parameter. For proving this result, we use the averaging theory in a form where the differentiability of the system is not necessary. © 2013 World Scientific Publishing Company.
Original language | English |
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Article number | 1350024 |
Journal | International Journal of Bifurcation and Chaos |
Volume | 23 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 2013 |
Keywords
- averaging method
- discontinuous piecewise linear differential systems
- Limit cycles