263 citations · 916 across the 13 of their papers we have counts for
13 papers
Pattern selection in parametrically-driven arrays of nonlinear resonators
Eyal Kenig, Ron Lifshitz, M. C. Cross
We study the problem of pattern selection in an array of parametrically-driven nonlinear resonators with application to microelectromechanical and nanoelectromechanical systems (ME…
Enhanced tracer transport by the spiral defect chaos state of a convecting fluid
K. -H. Chiam, M. C. Cross, H. S. Greenside +1
To understand how spatiotemporal chaos may modify material transport, we use direct numerical simulations of the three-dimensional Boussinesq equations and of an advection-diffusio…
Synchronization by Nonlinear Frequency Pulling
M. C. Cross, A. Zumdieck, Ron Lifshitz +1
We analyze a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling motivated by the physics of arrays of nanoscale oscilla…
Response of parametrically-driven nonlinear coupled oscillators with application to micro- and nanomechanical resonator arrays
Ron Lifshitz, M. C. Cross
The response of a coupled array of nonlinear oscillators to parametric excitation is calculated in the weak nonlinear limit using secular perturbation theory. Exact results for sma…
Rayleigh-Benard Convection with a Radial Ramp in Plate Separation
M. R. Paul, M. C. Cross, P. F. Fischer
Pattern formation in Rayleigh-Benard convection in a large-aspect-ratio cylinder with a radial ramp in the plate separation is studied analytically and numerically by performing nu…
Surface scattering analysis of phonon transport in the quantum limit using an elastic model
D. H. Santamore, M. C. Cross
We have investigated the effect on phonon energy transport in mesoscopic systems and the reduction in the thermal conductance in the quantum limit due to phonon scattering by surfa…