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Phys. Rev. B 79, 165309 (2009) [5 pages]

Nonlinear dynamics and chaos in two coupled nanomechanical resonators

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R. B. Karabalin, M. C. Cross, and M. L. Roukes
Department of Physics and Kavli Nanoscience Institute, California Institute of Technology, Pasadena, California 91125, USA

Received 10 February 2009; published 13 April 2009

See accompanying Physics Synopsis

Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and nonlinear properties. For large vibration amplitudes, the system develops spontaneous oscillations of amplitude modulation that also show period-doubling transitions and chaos. The complex nonlinear dynamics are quantitatively predicted by a simple theoretical model.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.79.165309
DOI:
10.1103/PhysRevB.79.165309
PACS:
85.85.+j, 05.45.−a, 62.25.−g