A Megastable Oscillator with Two Types of Attractors

Articles in Press

Document Type : Article

Authors

1 Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India

2 Department of Biomedical Engineering, Amirkabir University of Technology (Tehran polytechnic), Iran

3 Department of Computer Techniques Engineering, Information Technology College, Imam Ja’afer Al-Sadiq University, Baghdad 10001, Iraq

4 Department of Mathematics, Visva-Bharati, Santiniketan-731235, India

5 Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran

6 Biomedical Engineering Faculty, Amirkabir University of Technology, Tehran, Iran

Abstract

In this paper, a megastable system is designed with particular formation of attractors. It has two formations of attractors: the inner ones with a smaller amplitude, and the outer ones with the Eye of God nebula shape and larger amplitude. To the best of our knowledge, such a megastable oscillator with this special formation of attractors has not been studied before. Afterward, the oscillator is forced, and its attractors are discussed. Different dynamics of this new oscillator are investigated using tools such as bifurcation and Lyapunov exponent diagram, and basins for each attractor.
In this paper, a megastable system is designed with particular formation of attractors. It has two formations of attractors: the inner ones with a smaller amplitude, and the outer ones with the Eye of God nebula shape and larger amplitude. To the best of our knowledge, such a megastable oscillator with this special formation of attractors has not been studied before. Afterward, the oscillator is forced, and its attractors are discussed. Different dynamics of this new oscillator are investigated using tools such as bifurcation and Lyapunov exponent diagram, and basins for each attractor.

Keywords

Scientia Iranica

Articles in Press, Accepted Manuscript
Available Online from 19 December 2022

Files

History

  • Receive Date: 19 June 2022
  • Revise Date: 03 September 2022
  • Accept Date: 19 December 2022

Share

How to cite

Statistics