Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:2-4-2
Session:
Number:2-4-2-4
The Influence of Q-Control on the Non-linear Dynamics of Amplitude Modulation Atomic Force Microscopy
Ferdinand Jamitzky, Wolfram Bunk, Robert W. Stark,
pp.578-581
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
In tapping mode atomic force microscopy (AFM) the highly non-linear tip-sample interaction gives rise to complicated dynamics. Apart from the well known bi-stability under typical imaging conditions the system exhibits chaos-like dynamics at small average tip-sample distances, which are typical operation conditions for mechanical dynamic nano-manipulation. We have investigated the influence of Q-control on the non-linear behavior of the system. This was accomplished by numerically simulating the AFM tip modeled by a set of ordinary differential-difference equations. The time series data was analyzed employing non-linear analysis tools and spectral analysis. The information dimension was computed together with a bifurcation diagram and a Poincare map and was compared to the Fourier Spectrogram.