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Complex dynamical networks constructed with fully controllable nonlinear nanomechanical oscillators

Fon, Warren and Matheny, Matthew H. and Li, Jarvis and Krayzman, Lev and Cross, Michael C. and D'Souza, Raissa M. and Crutchfield, James P. and Roukes, Michael L. (2017) Complex dynamical networks constructed with fully controllable nonlinear nanomechanical oscillators. Nano Letters, 17 (10). pp. 5977-5983. ISSN 1530-6984.

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Control of the global parameters of complex networks has been explored experimentally in a variety of contexts. Yet, the more difficult prospect of realizing arbitrary network architectures, especially analog physical networks that provide dynamical control of individual nodes and edges, has remained elusive. Given the vast hierarchy of time scales involved, it also proves challenging to measure a complex network’s full internal dynamics. These span from the fastest nodal dynamics to very slow epochs over which emergent global phenomena, including network synchronization and the manifestation of exotic steady states, eventually emerge. Here, we demonstrate an experimental system that satisfies these requirements. It is based upon modular, fully controllable, nonlinear radio frequency nanomechanical oscillators, designed to form the nodes of complex dynamical networks with edges of arbitrary topology. The dynamics of these oscillators and their surrounding network are analog and continuous-valued and can be fully interrogated in real time. They comprise a piezoelectric nanomechanical membrane resonator, which serves as the frequency-determining element within an electrical feedback circuit. This embodiment permits network interconnections entirely within the electrical domain and provides unprecedented node and edge control over a vast region of parameter space. Continuous measurement of the instantaneous amplitudes and phases of every constituent oscillator node are enabled, yielding full and detailed network data without reliance upon statistical quantities. We demonstrate the operation of this platform through the real-time capture of the dynamics of a three-node ring network as it evolves from the uncoupled state to full synchronization.

Item Type:Article
Related URLs:
URLURL TypeDescription
Fon, Warren0000-0002-5447-2324
Matheny, Matthew H.0000-0002-3488-1083
Crutchfield, James P.0000-0003-4466-5410
Roukes, Michael L.0000-0002-2916-6026
Additional Information:© 2017 American Chemical Society. Received: May 14, 2017; Revised: August 15, 2017; Published: September 8, 2017. We gratefully acknowledge support from the U.S. Army Research Laboratory and the U.S. Army Research Office under Multidisciplinary University Research Initiative award no. W911NF-13-1-0340. M.L.R. and M.M. are also supported by ARO award W911NF13-1-0240. L.K. was supported by David L. Glackin Memorial Summer Undergraduate Research Fellowship at Caltech. We thank CEA-LETI (Grenoble, France) for providing piezoelectric multilayers enabling this research. We also acknowledge critical support and infrastructure provided for this work provided by the Kavli Nanoscience Institute at Caltech. Author Contributions: W.F. and M.M. contributed equally to this manuscript. All authors contributed to the planning of this research effort. W.F. and M.M. contributed equally to device fabrication, measurement system construction, and execution of the experiments. All authors participated in writing the manuscript and have approved the final version. The authors declare no competing financial interest.
Group:Kavli Nanoscience Institute
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-13-1-0340
Army Research Office (ARO)W911NF-13-1-0240
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
Subject Keywords:NEMS, complex networks, nanomechanical oscillators, nonlinearity, dynamical systems, control, synchronization
Issue or Number:10
Record Number:CaltechAUTHORS:20170911-123703870
Persistent URL:
Official Citation:Complex Dynamical Networks Constructed with Fully Controllable Nonlinear Nanomechanical Oscillators Warren Fon, Matthew H. Matheny, Jarvis Li, Lev Krayzman, Michael C. Cross, Raissa M. D’Souza, James P. Crutchfield, and Michael L. Roukes Nano Letters 2017 17 (10), 5977-5983 DOI: 10.1021/acs.nanolett.7b02026
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81293
Deposited By: Tony Diaz
Deposited On:11 Sep 2017 20:05
Last Modified:09 Mar 2020 13:18

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