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Theory and Numerics of Two Synchronized Oscillators


Grau, Matthew Charles (2009) Theory and Numerics of Two Synchronized Oscillators. Senior thesis (Major), California Institute of Technology. doi:10.7907/8GXA-0M35.


Coupled oscillators are used to model systems such as arrays of lasers or detectors whose response is combined to increase signal strength. I investigated a systems of two coupled oscillators using a model incorporating features such as reactive (non-dissipative) force couplings and amplitude-dependent frequencies. I employed careful numerical simulations to build up intuition about the various behaviors of the model and then studied the model analytically to determine regions of synchronization, a phenomenon in which many oscillators lock their relative phase or frequency to a common equilibrium value. The result of this investigation can be used to motivate the choice of parameter values (such as spread of intrinsic frequencies or coupling strength) of small systems of nanomechanical oscillators currently being designed by Matt Matheny in the Roukes laboratory at Caltech.

Item Type:Thesis (Senior thesis (Major))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Withheld
Research Advisor(s):
  • Cross, Michael Clifford
Thesis Committee:
  • None, None
Defense Date:5 May 2009
Record Number:CaltechTHESIS:02132018-105101068
Persistent URL:
Grau, Matthew Charles0000-0002-2684-6923
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10704
Deposited By: Joy Painter
Deposited On:13 Feb 2018 23:55
Last Modified:26 Nov 2019 21:04

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