Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity

Paul Glendinning
2014 Nonlinearity  
Monotonic maps with a single discontinuity arise in a variety of situations. We describe the innite sets of periods for such maps on the boundary of chaos; this gives a sense of the routes to chaos in such maps. The description involves an explicit subshift of nite type which describes the sequences of dierent renormalizations possible in these maps.
doi:10.1088/0951-7715/27/12/r143 fatcat:hhi32hojlfbgxex2pd3jwreb3y