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Coexistence of hidden chaotic attractors in a novel no-equilibrium system

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Abstract

Hidden attractors have received considerable interest in physics, mechanics and other dynamical areas recently. This paper introduces a novel autonomous system with hidden attractor. In particular, there exists no-equilibrium point in this system. Although the new system is simple with six terms, it exhibits complex behavior such as chaos and multistability. In addition, the offset boosting of a variable is achieved by adding a single controlled constant. Dynamical properties of the no-equilibrium system have been discovered by using nonlinear dynamical tools as well as an electronic implementation.

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Acknowledgments

The authors thank Prof. GuanRong Chen, Department of Electronic Engineering, City University of Hong Kong, for suggesting helpful references. This work has been supported by the Polish National Science Centre, MAESTRO Programme—Project No 2013/08/A/ST8/00/780.

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Authors and Affiliations

  1. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam

    Viet-Thanh Pham

  2. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924, Lodz, Poland

    Viet-Thanh Pham & Tomasz Kapitaniak

  3. Department of Physics, Aristotle University of Thessaloniki, 54124, Thessaloníki, Greece

    Christos Volos

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

    Sajad Jafari

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  1. Viet-Thanh Pham
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Correspondence to Viet-Thanh Pham.

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Pham, VT., Volos, C., Jafari, S. et al. Coexistence of hidden chaotic attractors in a novel no-equilibrium system. Nonlinear Dyn 87, 2001–2010 (2017). https://doi.org/10.1007/s11071-016-3170-x

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