Nonlinearity-Induced Synchronization Enhancement in Micromechanical Oscillators

Antonio, Dario; Czaplewski, David A.; Guest, Jeffrey R.; López, Daniel; Arroyo, Sebastián I.; Zanette, Damián H.

doi:10.1103/PhysRevLett.114.034103

Title: Nonlinearity-Induced Synchronization Enhancement in Micromechanical Oscillators

Authors:: Antonio, Dario; Czaplewski, David A.; Guest, Jeffrey R.; López, Daniel; Arroyo, Sebastián I.; Zanette, Damián H.

Publication Date:: Fri Jan 23 00:00:00 EST 2015

Sponsoring Org.:: USDOE

OSTI Identifier:: 1181100

Grant/Contract Number:: AC02-06CH11357

Resource Type:: Journal Article: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 114 Journal Issue: 3; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Antonio, Dario, Czaplewski, David A., Guest, Jeffrey R., López, Daniel, Arroyo, Sebastián I., and Zanette, Damián H. Nonlinearity-Induced Synchronization Enhancement in Micromechanical Oscillators.  United States: N. p., 2015. 
        Web.  doi:10.1103/PhysRevLett.114.034103.

Copy to clipboard


                    Antonio, Dario, Czaplewski, David A., Guest, Jeffrey R., López, Daniel, Arroyo, Sebastián I., & Zanette, Damián H. Nonlinearity-Induced Synchronization Enhancement in Micromechanical Oscillators.  United States.  https://doi.org/10.1103/PhysRevLett.114.034103

Copy to clipboard


                    Antonio, Dario, Czaplewski, David A., Guest, Jeffrey R., López, Daniel, Arroyo, Sebastián I., and Zanette, Damián H. 2015.  
        "Nonlinearity-Induced Synchronization Enhancement in Micromechanical Oscillators".  United States.  https://doi.org/10.1103/PhysRevLett.114.034103.

Copy to clipboard


                    
@article{osti_1181100,

  title        = {Nonlinearity-Induced Synchronization Enhancement in Micromechanical Oscillators},

  author       = {Antonio, Dario and Czaplewski, David A. and Guest, Jeffrey R. and López, Daniel and Arroyo, Sebastián I. and Zanette, Damián H.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.114.034103},

  url          = {https://www.osti.gov/biblio/1181100},
  journal      = {Physical Review Letters},

  issn         = {0031-9007},

  number       = 3,

  volume       = 114,

  place        = {United States},

  year         = {Fri Jan 23 00:00:00 EST 2015},

  month        = {Fri Jan 23 00:00:00 EST 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record at https://doi.org/10.1103/PhysRevLett.114.034103

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 49 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Synchronization of Micromechanical Oscillators Using Light
journal, December 2012

Zhang, Mian; Wiederhecker, Gustavo S.; Manipatruni, Sasikanth
Physical Review Letters, Vol. 109, Issue 23
https://doi.org/10.1103/PhysRevLett.109.233906

Phase Synchronization of Two Anharmonic Nanomechanical Oscillators
journal, January 2014

Matheny, Matthew H.; Grau, Matt; Villanueva, Luis G.
Physical Review Letters, Vol. 112, Issue 1
https://doi.org/10.1103/PhysRevLett.112.014101

MEMS technology for timing and frequency control
journal, January 2007

Nguyen, Clark
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 54, Issue 2, p. 251-270
https://doi.org/10.1109/TUFFC.2007.240

A review of MEMS oscillators for frequency reference and timing applications
journal, December 2011

van Beek, J. T. M.; Puers, R.
Journal of Micromechanics and Microengineering, Vol. 22, Issue 1
https://doi.org/10.1088/0960-1317/22/1/013001

Frequency stabilization in nonlinear micromechanical oscillators
journal, January 2012

Antonio, Dario; Zanette, Damián H.; López, Daniel
Nature Communications, Vol. 3, Issue 1
https://doi.org/10.1038/ncomms1813

Nanoelectromechanical systems
journal, June 2005

Ekinci, K. L.; Roukes, M. L.
Review of Scientific Instruments, Vol. 76, Issue 6, Article No. 061101
https://doi.org/10.1063/1.1927327

Micromachined devices for wireless communications
journal, January 1998

Nguyen, C. T. -C.; Katehi, L. P. B.; Rebeiz, G. M.
Proceedings of the IEEE, Vol. 86, Issue 8
https://doi.org/10.1109/5.704281

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
book, January 1983

Guckenheimer, John; Holmes, Philip
Applied Mathematical Sciences
https://doi.org/10.1007/978-1-4612-1140-2

Similar records in OSTI.GOV collections:

Nonlinearity induced synchronization enhancement in mechanical oscillators

Patent Czaplewski, David; Lopez, Omar; Guest, Jeffrey; ...

An autonomous oscillator synchronizes to an external harmonic force only when the forcing frequency lies within a certain interval, known as the synchronization range, around the oscillator's natural frequency. Under ordinary conditions, the width of the synchronization range decreases when the oscillation amplitude grows, which constrains synchronized motion of micro- and nano-mechanical resonators to narrow frequency and amplitude bounds. The present invention shows that nonlinearity in the oscillator can be exploited to manifest a regime where the synchronization range increases with an increasing oscillation amplitude. The present invention shows that nonlinearities in specific configurations of oscillator systems, as described herein,more »« less
Full Text Available
Direct observation of coherent energy transfer in nonlinear micromechanical oscillators

Journal Article Chen, Changyao; Zanette, Damian; Czaplewski, David; ... - Nature Communications

Energy dissipation is an unavoidable phenomenon of physical systems that are directly coupled to an external environmental bath. In an oscillatory system, it leads to the decay of the oscillation amplitude. In situations where stable oscillations are required, the energy dissipated by the vibrations is usually compensated by replenishment from external energy sources. Consequently, if the external energy supply is removed, the amplitude of oscillations start to decay immediately, since there is no means to restitute the energy dissipated. Here, we demonstrate a novel dissipation engineering strategy that can support stable oscillations without supplying external energy to compensate losses. Themore »« less
Cited by 58
https://doi.org/10.1038/ncomms15523

Full Text Available
Patterns of patterns of synchronization: Noise induced attractor switching in rings of coupled nonlinear oscillators

Journal Article Emenheiser, Jeffrey; Chapman, Airlie; Mesbahi, Mehran; ... - Chaos (Woodbury, N. Y.)

Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems via the architecture of their attractors and basins, we investigate the patterns of switching between distinct trajectories in a network of synchronized oscillators. Our system, consisting of nonlinear amplitude-phase oscillators arranged in a ring topology with reactive nearest-neighbor coupling, is simple and connects directly to experimental realizations. We seek to understand how the multiple stable synchronized states connect to each other in state space by applying Gaussian white noise to each of the oscillators' phases. To do this, we first analytically identify a set of locally stable limit cyclesmore »« less
https://doi.org/10.1063/1.4960191
Master equation approach to synchronization in diffusion-coupled nonlinear oscillators

Journal Article Vance, William; Ross, John - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

We study the influence of internal fluctuations on phase synchronization in oscillatory reaction-diffusion systems through a master equation approach. In the limit of large system size, the probability density is analyzed by means of the eikonal approximation. This approximation yields a Hamilton-Jacobi equation for the stochastic potential, which may be reduced to coupled nonlinear diffusion equations for the phase of oscillation and (conjugate) ''momentum.'' We give explicit expressions for the coefficients of these equations in terms of averages over the deterministic periodic orbit. For one-dimensional systems, we obtain an explicit solution for the stationary stochastic potential: the width in phase,more »« less
https://doi.org/10.1103/PhysRevE.62.3303
Basic prerequisites for limit-cycle oscillations within a synchronously pumped passive optical nonlinear fiber-ring resonator

Journal Article Kues, Michael; Brauckmann, Nicoletta; Gross, Petra; ... - Physical Review. A

By taking into account Kerr nonlinearity and negative second-order dispersion, we show by numerical investigations that in a passive optical nonlinear fiber ring resonator synchronously pumped with femtosecond pulses a temporal delay via a resonator length detuning or via third-order dispersion leads to limit cycle behavior, which is represented by an oscillatory evolution of the temporal as well as the spectral pulse shape. By introducing a two-dimensional iterative map, we show that limit cycles arise due to the mutual coupling of different spectral pulse components. The resulting system behavior can be used to introduce additional adjustable frequency components into frequencymore » combs.« less
https://doi.org/10.1103/PHYSREVA.84.033833

Similar Records

Title: Nonlinearity-Induced Synchronization Enhancement in Micromechanical Oscillators

Citation Formats

Synchronization of Micromechanical Oscillators Using Light journal, December 2012

Phase Synchronization of Two Anharmonic Nanomechanical Oscillators journal, January 2014

MEMS technology for timing and frequency control journal, January 2007

A review of MEMS oscillators for frequency reference and timing applications journal, December 2011

Frequency stabilization in nonlinear micromechanical oscillators journal, January 2012

Nanoelectromechanical systems journal, June 2005

Micromachined devices for wireless communications journal, January 1998

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields book, January 1983

Synchronization of Micromechanical Oscillators Using Light
journal, December 2012

Phase Synchronization of Two Anharmonic Nanomechanical Oscillators
journal, January 2014

MEMS technology for timing and frequency control
journal, January 2007

A review of MEMS oscillators for frequency reference and timing applications
journal, December 2011

Frequency stabilization in nonlinear micromechanical oscillators
journal, January 2012

Nanoelectromechanical systems
journal, June 2005

Micromachined devices for wireless communications
journal, January 1998

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
book, January 1983