Indian Journal of Industrial and Applied Mathematics
  • Year: 2018
  • Volume: 9
  • Issue: 1

Complexity Dynamics of Invertible Hénon Map

1IIIMIT, Department of Mathematics, Shiv Nadar University, Greater Noida, Dadri, UP-20131, India

2Assistant Professor, Department of Mathematics, Acharya Narendra Dev College, Govindpuri, Kalkaji, New Delhi, 110019

(*Corresponding Author) E-mail-id: *lmsaha.msf@gmail.com

**prasadsadanand@yahoo.co.in

Abstract

Evolutionary dynamics of a generalised invertible Hénon map has been discussed. The map shows specific features, like period doubling and chaos adding, during bifurcation when a particular parameter allowed to varies. Plots of regular and chaotic attractors for this map have been obtained. The Lyapunov exponents and topological entropies have been calculated and shown through graphics.