Controllable branching of robust response patterns in nonlinear mechanical resonators
Artikel i vetenskaplig tidskrift, 2023

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.


Axel Eriksson

Chalmers, Mikroteknologi och nanovetenskap, Kvantteknologi

Oriel Shoshani

Ben-Gurion University of the Negev

Daniel López

Pennsylvania State University

Steven W. Shaw

Florida Institute of Technology

Michigan State University

David A. Czaplewski

Argonne National Laboratory

Nature Communications

2041-1723 (ISSN) 20411723 (eISSN)

Vol. 14 1 161-


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