288 citations · 1.3k across the 19 of their papers we have counts for
19 papers
Quantum limit-cycles and the Rayleigh and van der Pol oscillators
Lior Ben Arosh, M. C. Cross, Ron Lifshitz
Self-oscillating systems, described in classical dynamics as limit cycles, are emerging as canonical models for driven dissipative nonequilibrium open quantum systems, and as key e…
A Passive Phase Noise Cancellation Element
Eyal Kenig, M. C. Cross, Ron Lifshitz +4
We introduce a new method for reducing phase noise in oscillators, thereby improving their frequency precision. The noise reduction device consists of a pair of coupled nonlinear r…
Intrinsic localized modes in parametrically-driven arrays of nonlinear resonators
Eyal Kenig, Boris A. Malomed, M. C. Cross +1
We study intrinsic localized modes (ILMs), or solitons, in arrays of parametrically-driven nonlinear resonators with application to microelectromechanical and nanoelectromechanical…
Nonlinear Dynamics and Chaos in Two Coupled Nanomechanical Resonators
R. B. Karabalin, M. C. Cross, M. L. Roukes
Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizi…
The stochastic dynamics of micron and nanoscale elastic cantilevers in fluid: fluctuations from dissipation
M. R. Paul, M. T. Clark, M. C. Cross
The stochastic dynamics of micron and nanoscale cantilevers immersed in a viscous fluid are quantified. Analytical results are presented for long slender cantilevers driven by Brow…
Effect of the Centrifugal Force on Domain Chaos in Rayleigh-Bénard convection
Nathan Becker, J. D. Scheel, M. C. Cross +1
Experiments and simulations from a variety of sample sizes indicated that the centrifugal force significantly affects rotating Rayleigh-Bénard convection-patterns. In a large-aspec…