Abstract
Using first integrals we introduce an alternative tool to the Poincaré maps in order to study the limit cycles of piecewise linear differential systems. It is also shown that an usual relaxation oscillation phenomenon occurrs in a two-parameter family of planar piecewise linear vector fields.
Original language | English |
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Pages (from-to) | 29-50 |
Journal | Qualitative Theory of Dynamical Systems |
Volume | 3 |
DOIs | |
Publication status | Published - 1 Dec 2002 |
Keywords
- First integrals
- Limit cycles
- Piecisewise linear differential systems