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- R O Grigoriev, M C Cross, H G Schuster
- 1997

Linear control theory is used to develop an improved localized control scheme for spatially extended chaotic systems, which is applied to a coupled map lattice as an example. The optimal arrangement of the control sites is shown to depend on the symmetry properties of the system, while their minimal density depends on the strength of noise in the system.… (More)

We study the problem of pattern selection in an array of parametrically driven nonlinear resonators with application to microelectromechanical and nanoelectromechanical systems, using an amplitude equation recently derived by Bromberg, Cross, and Lifshitz [Phys. Rev. E 73, 016214 (2006)]. We describe the transitions between standing-wave patterns of… (More)

- D H Santamore, A C Doherty, M C Cross
- 2004

We investigate a scheme that makes a quantum nondemolition (QND) measurement of the excitation level of a mesoscopic mechanical oscillator by utilizing the anharmonic coupling between two beam bending modes. The nonlinear coupling between the two modes shifts the resonant frequency of the readout oscillator in proportion to the excitation level of the… (More)

- Ron Lifshitz, M C Cross
- 2003

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 small arrays of oscillators are used to guide the analysis of the numerical integration of the model equations of motion for large arrays. The results provide a qualitative… (More)

- R Urban, A Putilin, P E Wigen, S.-H Liou, M C Cross, P C Hammel +1 other
- 2006

Magnetostatic modes of yttrium iron garnet ͑YIG͒ films are investigated by ferromagnetic resonance force microscopy. A thin-film " probe " magnet at the tip of a compliant cantilever introduces a local inhomogeneity in the internal field of the YIG sample. This influences the shape of the sample's magnetostatic modes, thereby measurably perturbing the… (More)

- R Heller, E D Lorenzen, J B A Okello, C Masembe, H R Siegismund, J A Morris-Pocock +39 others
- 2008

4859 Population genetic structure in Atlantic and Pacific Ocean common murres (Uria aalge): natural replicate tests of post-Pleistocene evolution 4874 Combining direct and indirect genetic methods to estimate dispersal for informing wildlife disease management decisions 4887 Role of male-biased dispersal in inbreeding avoidance in the grey-sided vole… (More)

- Heinz Georg Schuster, Wiley, Ron Lifshitz, M C Cross
- 2008

- M C Cross, Ron Lifshitz
- 2000

The transmission coefficient for vibrational waves crossing an abrupt junction between two thin elastic plates of different widths is calculated. These calculations are relevant to ballistic phonon thermal transport at low temperatures in mesoscopic systems and the Q for vibrations in mesoscopic oscilla-tors. Complete results are calculated in a simple… (More)

The stochastic response of nanoscale oscillators of arbitrary geometry immersed in a viscous fluid is studied. Using the fluctuation-dissipation theorem, it is shown that deterministic calculations of the governing fluid and solid equations can be used in a straightforward manner to directly calculate the stochastic response that would be measured in… (More)