Basins of attraction of a nonlinear nanomechanical resonator

Abstract

We present an experiment that systematically probes the basins of attraction of two fixed points of a nonlinear nanomechanical resonator and maps them out with high resolution. We observe a separatrix which progressively alters shape for varying drive strength and changes the relative areas of the two basins of attraction. The observed separatrix is blurred due to ambient fluctuations, including residual noise in the drive system, which cause uncertainty in the preparation of an initial state close to the separatrix. We find a good agreement between the experimentally mapped and theoretically calculated basins of attraction.

References in corpus (2)

• Mass Detection with Nonlinear Nanomechanical Resonator
• Classical to Quantum Transition of a Driven Nonlinear Nanomechanical Resonator

Cited by in corpus (5)

• Intrinsic localized modes in parametrically-driven arrays of nonlinear resonators
• Nonlinear quantum metrology using coupled nanomechanical resonators
• Classical to quantum transition of a driven nonlinear nanomechanical resonator
• Pattern selection in parametrically-driven arrays of nonlinear resonators
• Quantum noise in a nano mechanical Duffing resonator