Sharif University of Technology Scientia Iranica 1026-3098 32 5 2025 09 01 A megastable oscillator with two types of attractors 6909 6909 10.24200/sci.2022.60637.6909 EN Balamurali Ramakrishnan Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India Zahra Faghani Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran Hayder Natiq Department of Computer Technology Engineering, College of Information Technology, Imam Ja'afar Al-Sadiq University, Baghdad, Iraq Nikhil Pal Department of Mathematics, Visva-Bharati, Santiniketan-731235, India Fahimeh Nazarimehr Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran 0000-0002-2664-9006 Sajad Jafari - Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran - Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran 0000-0002-6845-7539 Journal Article 2022 06 19 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. https://scientiairanica.sharif.edu/article_23070_b29135354047b4fa01f0f943737cc038.pdf