Special Session 134: Recent advances in wavelet analysis, PDEs and dynamical systems - part II

Chaos and convergence in 3D H\`{e}non maps

Jiayi Wei
Wenzhou-Kean University
Peoples Rep of China
Co-Author(s):    Emanuel Guariglia, Lianglin Li
Abstract:
This work concerns the chaotic behavior in H\`{e}non maps. More precisely, we deal with its aperiodic orbits. We thus remove these points from the dynamics of the 3D H\`{e}non map. Our results are based on a perturbation technique so that the perturbed map has the same fixed points of the 3D H\`{e}non map.