Piecewise linear models for the quasiperiodic transition to chaos
Piecewise linear models for the quasiperiodic transition to chaos
We formulate and study analytically and computationally two families of piecewise linear degree one circle maps. These families offer the rare advantage of being non-trivial but essentially solvable models for the phenomenon of mode locking and the quasiperiodic transition to chaos. For instance, for these families, we obtain complete solutions …