Title: Dynamics of q deformed Ricker map

Authors: Aishwaraya, Divya Gupta, and V.V.M.S. Chandramouli

Journal: Journal of Difference Equations and Applications

Volume: 28

Link: https://doi.org/10.1080/10236198.2022.2142468

Year: 2022

Publisher: Taylor & Francis

Abstract: We apply the deformation scheme to the classical Ricker map and obtain a q-deformed Ricker map, namely, q-Ricker map. The aim of the paper is to investigate the nonlinear dynamics, bifurcation structure, and topological entropy of q-Ricker map. In particular, we show that q-Ricker map proclaims many exciting phenomena that are remarkable in one-dimensional dynamical systems, such as the presence of coexisting attractors, physically non-observable chaos, hydra paradox, bubbling effect, and extinction. We discuss fold and flip bifurcations and further the presence of stochastically stable chaos. Finally, we show that a certain amount of deformation in the system can keep it in equilibrium; however, excessive deformation causes extinction.