English

Amazing behavior and transition to chaos of some sequences using Collatz like problems and Quibic duffing

General Mathematics 2023-02-06 v1 Dynamical Systems Chaotic Dynamics

Abstract

In this paper we shall show amazing behavior of some discrete maps using Collatze like problems and some advanced theories in analytic number theory and dynamical system,we have investigated the driven cubic-quintic Duffing equation such that , We were able to predict the number of limit cycles around the equilibrium and to develop a theoretical approach to chaos suppression in damped driven systems using Collatze like problem sequences , some new results regarding behavior of that sequence are presented.

Keywords

Cite

@article{arxiv.2302.01904,
  title  = {Amazing behavior and transition to chaos of some sequences using Collatz like problems and Quibic duffing},
  author = {Zeraoulia Rafik},
  journal= {arXiv preprint arXiv:2302.01904},
  year   = {2023}
}

Comments

15 pages,5 figures