International Symposium on Nonlinear Theory and its Applications


Session Number:2-4-2



The Influence of Q-Control on the Non-linear Dynamics of Amplitude Modulation Atomic Force Microscopy

Ferdinand Jamitzky,  Wolfram Bunk,  Robert W. Stark,  


Publication Date:2005/10/18

Online ISSN:2188-5079


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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.