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Nonlinear amplifier and frequency shifter using a tunable periodic drive

Sergey Savel’ev1, A. L. Rakhmanov1,2, and Franco Nori1,3

  • 1Frontier Research System, The Institute of Physical and Chemical Research (RIKEN), Wako-shi, Saitama, 351-0198, Japan
  • 2Institute for Theoretical and Applied Electrodynamics RAS, 125412 Moscow, Russia
  • 3Center for Theoretical Physics, Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1120, USA

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Phys. Rev. E 72, 056136 – Published 30 November, 2005

DOI: https://doi.org/10.1103/PhysRevE.72.056136

Abstract

We consider the superposition of a weak and a strong force acting on an overdamped particle moving on either an asymmetric-periodic or a double-well potential. The velocity of the particle has only harmonics (nω1) of the strong force, when the particle either oscillates near a minimum or runs away from it. Near a threshold drive (bistable point) separating these two dynamical regimes, the weak force drastically changes the velocity spectrum, greatly amplifying the mixing harmonics. This effect can be used either to amplify or to shift the frequency of a weak signal and can be observed in a wide variety of systems, including domain walls in a ferromagnet, SQUIDs, and tiny particles in a ratchet potential.

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Phys. Rev. E 72, 056136– Published 30 November, 2005
  • Received 7 August 2004

© 2005 American Physical Society

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