Dynamic of generalized transvections

Guido Ahumada, Nicolas Chevallier

Given an increasing odd homeomorphism $\sigma$ : R $\to$ R, the two bijective maps h $\sigma$ , v $\sigma$ : R 2 $\to$ R 2 dened by h $\sigma$ (x, y) = (x + $\sigma$ --1 (y), y) and v $\sigma$ (…