2008/08/26 by Eyal Kenig, Ron Lifshitz, M. C. Cross · 1 citation
Computer Science · Physics and Astronomy · #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #cond-mat.other #nlin.PS
paper · pdf · doi:10.1103/physreve.79.026203
published as Phys. Rev. E 79 (2009) 026203.
arxiv created 2008/08/26 · openalex publication_date 2009/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 different wave numbers as the drive amplitude is varied either quasistatically, abruptly, or as a linear ramp in time. We find interesting hysteretic effects, which are confirmed by numerical integration of the original equations of motion of the interacting nonlinear resonators.