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, preprint accepted for publication in Phys. Rev. Lett.
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
M. R. Paul, M. I. Einarsson, P. F. Fischer, and M. C. Cross, Extensive chaos in Rayleigh-Benard convection, Phys. Rev. E75, 045203 (2007)
T. Carmon, M. C. Cross, and K. J. Vahala, Chaotic quivering of micron-scaled on-chip resonators excited by centrifugal optical pressure, Phys. Rev. Lett. 98, 167203 (2007)
J. D. Scheel and M. C. Cross, Lyapunov exponents for small aspect ratio Rayleigh-Benard convection, Phys. Rev. E74, 066301 (2006)
M. R. Paul, M. T. Clark, and M. C. Cross, The stochastic dynamics of micron and nanoscale elastic cantilevers in fluid: fluctuations from dissipation, Nanotechnology 17, 4502 (2006)