Abstract
This paper analyses the existence of invariant manifolds of periodic orbits for a specific piecewise linear three‐dimensional system with two zones, whose linear parts share a pair of imaginary eigenvalues. This degenerate situation is obtained from the lack of controllability. The analysis proceeds by its reduction to a periodic one‐dimensional equation for which some results of the Ambrosetti–Prodi type are given.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have