A megastable oscillator with two types of attractors
نویسندگان
1 Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India
2 Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
3 - Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran - Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
4 Department of Computer Technology Engineering, College of Information Technology, Imam Ja'afar Al-Sadiq University, Baghdad, Iraq
5 Department of Mathematics, Visva-Bharati, Santiniketan-731235, India
6 Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
doi
10.24200/sci.2022.60637.6909چکیده
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.
