3 papers
math.DS2026
Reversibility and symmetry of affine toral automorphisms
Kuntal Banerjee, Anubrato Bhattacharyya, Krishnendu Gongopadhyay +1
We study reversibility and strong reversibility of affine automorphisms of the two-torus, written as . We de…
math.DS2025
On the Piecewise Linear Perturbations of the Doubling Map
Anubrato Bhattacharyya, Kuntal Banerjee
Inspired by the 2007 work by M.~Misiurewicz and A.~Rodrigues [Double Standard Maps, M. Misiurewicz, A. Rodrigues, Communications in Mathematical Physics], we consider a family of c…
math.DS2025
Uniformization of tongues in Double Standard Map family and variation of maximal chaotic sets
Kuntal Banerjee, Anubrato Bhattacharyya, Sabyasachi Mukherjee
We study hyperbolic components, also known as tongues, in the Double Standard Map family comprising circle maps of the form: \begin{align*} f_{a,b}(x)=\left(2x+a+\dfrac{b}Ï \sin(2…