20 citations · 20 across the 3 of their papers we have counts for
3 papers
Piecewise Linear Models for the Quasiperiodic Transition to Chaos
David K. Campbell, Roza Galeeva, Charles Tresser +1
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 es…
Inducing, slopes, and conjugacy classes
Roza Galeeva, Marco Martens, Charles Tresser
We show that the conjugacy class of an eventually expanding continuous piecewise affine interval map is contained in a smooth codimension 1 submanifold of parameter space. In parti…
A monotonicity conjecture for real cubic maps
Silvina P. Dawson, Roza Galeeva, John W. Milnor +1
This is an outline of work in progress. We study the conjecture that the topological entropy of a real cubic map depends ``monotonely'' on its parameters, in the sense that each lo…