The piecewise linear feedback systems with arbitrary number of limit cycles are discussed. Given an arbitrary positive integer n, it is shown that there exists planar piecewise linear differential systems with at least n limit cycles. The method of averaging and periodic orbits is discussed.
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|Publication status||Published - 1 Jan 2003|
- Averaging method
- Limit cycles
- Nonlinear oscillations