In this paper, a family of quasiperiodically forced piecewise linear maps is considered. We prove that there exists a unique strange nonchaotic attractor for some set of parameter values. It is the graph of an upper semi-continuous function which is invariant, discontinuous almost everywhere and attracts almost all orbits. Moreover, both Lyapunov exponents are nonpositive, a necessary condition for the existence of a strange nonchaotic attractor.
|Journal||International Journal of Bifurcation and Chaos|
|Publication status||Accepted/In press - 2 Jan 2021|
- strange nonchaotic attractors
- skew product map
- invariant graph