Nonlinear dynamics and chaos in two coupled nanomechanical resonators
By R. Karabalin, Michael C. Cross, Michael L. Roukes. 2008
192 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/f6a7baae2708d13a9de00994cb2ab7f047f5c135
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
- Mikhail D. Lukin
- Peter Zoller
- Herre S. J. van der Zant
- Peter Rabl
- Menno Poot
- S. J. Habraken
- K. Stannigel
- Mark Saffman
In Electrical and Electronic Engineering
- Peter Zoller
- Mikhail D. Lukin
- Menno Poot
- S. J. Habraken
- Peter Rabl
- K. Stannigel
- Herre S. J. van der Zant
Citations in the corpus
- Mechanical systems in the quantum regime (2011, background): “Although some groups study the interaction between di fferent coupled modes in nano and micromechanical systems [193, 194, 195, 164, 124, 196], most experimental and theore tical work focuses on a single mode only and the harmonic oscillator describes the dynamics of the entire mechanical system.”
- Continuous mode cooling and phonon routers for phononic quantum networks (2012, background): “Alternatively, the resonators can also be coupled mechanically via bridges or the support [46].”