E. Kenig, M. C. Cross,

*Frequency Precision of Oscillators Based on High-Q Resonators*, preprint (2015)E. Kenig and M. C. Cross,

*Eliminating 1/f noise in oscillators*, Phys. Rev. E**89**, 042901 (2014)M. H. Matheny, M. Grau, L. G. Villanueva, R. B. Karabalin, M. C. Cross, M. L. Roukes,

*Phase synchronization of two anharmonic nanomechanical oscillators*, Phys. Rev. Lett.**112**, 014101 (2014)E. Kenig, M. C. Cross, J. Moehlis, K. Wiesenfeld,

*Phase noise of oscillators with unsaturated amplifiers*, Phys. Rev. E**88**, 062922 (2013)M. R. Paul, M. T. Clark, and M. C. Cross,

*Coupled motion of microscale and nanoscale elastic objects in a viscous fluid*, Phys. Rev. E**88**, 043012 (2013)T. E. Lee, and M. C. Cross,

*Quantum-classical transition of correlations of two coupled cavities*, Phys. Rev. A**88**, 013834 (2013)J-M. A. Allen and M. C. Cross,

*Frequency precision of two-dimensional lattices of coupled oscillators with spiral patterns*, Phys. Rev. E**87**, 052902 (2013)L. G. Villanueva, E. Kenig, R. B. Karabalin, M. H. Matheny, R. Lifshitz, M. C. Cross, M. L. Roukes,

*Surpassing fundamental limits of oscillators using nonlinear resonators*, Phys. Rev. Lett.**110**, 177208, (2013)R. Lifshitz, E. Kenig, and M. C. Cross,

*Collective Dynamics in Arrays of Coupled Nonlinear Resonators*, in "Fluctuating Nonlinear Oscillators: From Nanomechanics to Quantum Superconducting Circuits", ed. M. Dykman (Oxford University Press, 2012)E. Kenig, M. C. Cross, L. G. Villanueva, R. B. Karabalin, M. H. Matheny, R. Lifshitz, and M. L. Roukes,

*Optimal operating points of oscillators using nonlinear resonators*, Phys. Rev. E**86**, 056207 (2012)E. Kenig, M. C. Cross, R. Lifshitz, R. B. Karabalin, L. G. Villanueva, M. H. Matheny, and M. L. Roukes,

*Passive phase noise cancellation scheme*, Phys. Rev. Lett.**108**, 264102 (2012)D. Li, M. C. Cross, and Z. Zheng

*, Effect of spatial patterns on population size*, Physica A**391**, 6016 (2012)M. C. Cross,

*Improving the frequency precision of oscillators by synchronization*, Phys. Rev. E**85**, 046214 (2012)T. E. Lee, H. Haffner, and M. C. Cross,

*Collective quantum jumps of Rydberg atoms*, Phys. Rev. Lett.**108**, 023602 (2012)D. Li, M. C. Cross, C. Zhou, and Z. Zheng,

*Quasiperiodic, periodic, and slowing-down states of coupled heteroclinic cycles*, Phys. Rev.**E85**, 016215 (2012)T. E. Lee, H. Haffner, and M. C. Cross,

*Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms*, Phys. Rev.**A84**, 031402(R) (2011)L. G. Villanueva, R. B. Karabalin, M. H. Matheny, E. Kenig, M. C. Cross, and M. L. Roukes,

*A nanoscale parametric feedback oscillator*, Nano Lett.**11**, 5054 (2011)T. E. Lee and M. C. Cross,

*Pattern formation with trapped ions*, Phys. Rev. Lett.**106**, 143001 (2011)R. B. Karabalin, R. Lifshitz, M. C. Cross, M. H. Matheny, S. C. Masmanidis, M. L. Roukes,

*Signal amplification by sensitive control of bifurcation topology*, Phys. Rev. Lett.**106**094102, (2011)T. E. Lee, H. Tam, G. Refael, J. L. Rogers and M. C. Cross,

*Vortices and the entrainment transition in the 2D Kuramoto model*, Phys. Rev.**E82**, 036202 (2010)D. Chowdhury and M. C. Cross,

*Synchronization of oscillators with long-range power law interactions*, Phys. Rev.**E82**, 016205 (2010)Z. Zheng, X. Feng, B, Ao and M. C. Cross,

*Synchronization of groups of coupled oscillators with sparse connections*, Europhys Lett.**87**. 50006 (2009)T. E. Lee, G. Refael, M. C. Cross, O. Kogan, and J. L. Rogers,

*Universality in the one-dimensional chain of phase-coupled oscillators*, Phys. Rev.**E80**, 046210 (2009)O. Kogan, J. L. Rogers, M. C. Cross, and G. Refael,

*Renormalization group approach to oscillator synchronization*, Phys. Rev.**E80**, 036206 (2009)E. Kenig, B. A. Malomed, M. C. Cross, R. Lifshitz,

*Intrinsic localized modes in parametrically-driven arrays of nonlinear resonators*, Phys. Rev.**E80**, 046202 (2009)R. B. Karabalin, M. C. Cross, and M. L. Roukes,

*Nonlinear dynamics and chaos in two coupled nanomechanical resonators*, Phys. Rev.**B79**, 165309 (2009)E. Kenig, R. Lifshitz, and M. C. Cross,

*Pattern selection in parametrically-driven arrays of nonlinear resonators*, Phys. Rev.**E79**, 026203 (2009)R. Lifshitz and M. C. Cross,

*Nonlinear dynamics of nanomechanical and micromechanical resonators*, in*Review of Nonlinear Dynamics and Complexity*, ed. H. G. Schuster (Wiley, 2008), preprint

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Last modified 29 September, 2016

Michael Cross