A Novel Mega-stable System with Attractors in Real-life Object Shapes

Articles in Press

Document Type : Research Article

Authors

1 Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran.

2 Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran. Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran.

3 Department of Electrical engineering, City University of Hong Kong, Hong Kong SAR, China.

Abstract

This paper introduces a two-dimensional autonomous mega-stable dynamical system with trigonometric nonlinearities. The nonlinearity of this system is induced by tangent hyperbolic and cosine functions. A remarkable feature of this system is the ability to generate very rich patterns of coexisting attractors via the variation of its parameters. Interestingly the shapes of its coexisting attractors resemble some real-life objects, such as Persian rugs, nuts (mainly chestnut), fruits (especially pear), and vegetables (pumpkin and onion). Simulations demonstrate the coexisting attractors, basins of attractions, and real-life object shapes. Moreover, the fixed points of the proposed system, their stability, and the energy dissipation for various pairs of parameters are investigated. Finally, the feasibility of this system is approved by analog circuit simulations. Regarding the high flexibility of this system, producing a broad range of attractor patterns, it could be applied in various fields.

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Main Subjects

Scientia Iranica

Articles in Press, Accepted Manuscript
Available Online from 13 December 2025

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History

  • Receive Date: 30 July 2022
  • Revise Date: 09 January 2023
  • Accept Date: 16 April 2023

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