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Finding coexisting attractors using amplitude control

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Abstract

Nonlinear dynamical systems often have multiple stable states and thus can harbor coexisting and hidden attractors that may pose an inconvenience or even hazard in practical applications. Amplitude control provides one method to detect these coexisting attractors, and it explains the unpredictable and irreproducible behavior that sometimes occurs in carefully engineered systems. In this paper, two regimes of amplitude control are described to illustrate the method for detecting multistability and possible coexisting or hidden attractors.

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Acknowledgments

This work was partially supported by the Jiangsu Overseas Research & Training Program for University Prominent Young and Middle-aged Teachers and Presidents and the 4th 333 High-level Personnel Training Project (Su Talent [2011] No. 15). In addition, the research described in this publication was made possible in part by Grant No. 2011M500838, 2012T50456 and 1002004C from the Science Foundation for Postdoctoral Program of People’s Republic of China.

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Authors and Affiliations

  1. School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjing, 210044, China

    Chunbiao Li

  2. Department of Engineering Technology, Engineering Technology Research and Development Center of Jiangsu Circulation Modernization Sensor Network, Jiangsu Institute of Commerce, Nanjing, 210007, China

    Chunbiao Li

  3. Department of Physics, University of Wisconsin–Madison, Madison, WI, 53706, USA

    Chunbiao Li & J. C. Sprott

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  1. Chunbiao Li
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  2. J. C. Sprott
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Correspondence to Chunbiao Li.

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Li, C., Sprott, J.C. Finding coexisting attractors using amplitude control. Nonlinear Dyn 78, 2059–2064 (2014). https://doi.org/10.1007/s11071-014-1568-x

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  • DOI: https://doi.org/10.1007/s11071-014-1568-x

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