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Controllable branching of robust response patterns in nonlinear mechanical resonators

Author

Listed:
  • Axel M. Eriksson

    (Chalmers University of Technology)

  • Oriel Shoshani

    (Ben-Gurion University of the Negev)

  • Daniel López

    (Materials Research Institute, Penn State University)

  • Steven W. Shaw

    (Florida Institute of Technology
    Michigan State University)

  • David A. Czaplewski

    (Center for Nanoscale Materials, Argonne National Laboratory)

Abstract

In lieu of continuous time active feedback control in complex systems, nonlinear dynamics offers a means to generate desired long-term responses using short-time control signals. This type of control has been proposed for use in resonators that exhibit a plethora of complex dynamic behaviors resulting from energy exchange between modes. However, the dynamic response and, ultimately, the ability to control the response of these systems remains poorly understood. Here, we show that a micromechanical resonator can generate diverse, robust dynamical responses that occur on a timescale five orders of magnitude larger than the external harmonic driving and these responses can be selected by inserting small pulses at specific branching points. We develop a theoretical model and experimentally show the ability to control these response patterns. Hence, these mechanical resonators may represent a simple physical platform for the development of springboard concepts for nonlinear, flexible, yet robust dynamics found in other areas of physics, chemistry, and biology.

Suggested Citation

  • Axel M. Eriksson & Oriel Shoshani & Daniel López & Steven W. Shaw & David A. Czaplewski, 2023. "Controllable branching of robust response patterns in nonlinear mechanical resonators," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
  • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-022-35685-5
    DOI: 10.1038/s41467-022-35685-5
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    References listed on IDEAS

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    1. Daniela Rus & Michael T. Tolley, 2015. "Design, fabrication and control of soft robots," Nature, Nature, vol. 521(7553), pages 467-475, May.
    2. Dario Antonio & Damián H. Zanette & Daniel López, 2012. "Frequency stabilization in nonlinear micromechanical oscillators," Nature Communications, Nature, vol. 3(1), pages 1-6, January.
    3. Peter Ashwin & Marc Timme, 2005. "When instability makes sense," Nature, Nature, vol. 436(7047), pages 36-37, July.
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    Cited by:

    1. Xin Zhou & Xingjing Ren & Dingbang Xiao & Jianqi Zhang & Ran Huang & Zhipeng Li & Xiaopeng Sun & Xuezhong Wu & Cheng-Wei Qiu & Franco Nori & Hui Jing, 2023. "Higher-order singularities in phase-tracked electromechanical oscillators," Nature Communications, Nature, vol. 14(1), pages 1-9, December.

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