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Simple chaotic 3D flows with surfaces of equilibria

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Abstract

Using a systematic computer search, twelve simple three-dimensional chaotic flows were found that have surfaces of equilibria. Although there are some four-dimensional systems with surfaces of equilibria, there is no such system in three-dimensional state space reported in the literature. Such systems are not difficult to design, but they can have some practical benefits. Study of chaotic flows with surfaces of equilibria provides a good reference for building systems with attractors that are protected from external influences, which can increase the safety of engineering.

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Authors and Affiliations

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

    Sajad Jafari

  2. Department of Physics, University of Wisconsin-Madison, Madison, WI, 53706, USA

    J. C. Sprott

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

    Viet-Thanh Pham

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

    Christos Volos

  5. Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Chunbiao Li

  6. School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Chunbiao Li

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  1. Sajad Jafari
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  2. J. C. Sprott
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  4. Christos Volos
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  5. Chunbiao Li
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Correspondence to Sajad Jafari.

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Jafari, S., Sprott, J.C., Pham, VT. et al. Simple chaotic 3D flows with surfaces of equilibria. Nonlinear Dyn 86, 1349–1358 (2016). https://doi.org/10.1007/s11071-016-2968-x

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  • DOI: https://doi.org/10.1007/s11071-016-2968-x

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