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An Alternative Stability Analysis Technique for the Simplest Walker

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Abstract

We revisit the simplest walker studiedearlier by Garcia and co-workers. We extend the small-slope stability analysis to second order, substantially improving accuracy, andalso provide some details left out of the earlier work.We develop an alternative (reverse) approach for the stabilityanalysis, which involves shorter calculations: for stability analysis upto any given order, the new procedure requires calculations to one order less than the previous (forward) procedure. The stabilityresults obtained by the two methods are, nevertheless, equivalent.

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Authors and Affiliations

  1. Mechanical Engineering Department, Indian Institute of Science, Bangalore, 560012, India

    S. L. Das & A. Chatterjee

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  1. S. L. Das
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  2. A. Chatterjee
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Das, S.L., Chatterjee, A. An Alternative Stability Analysis Technique for the Simplest Walker. Nonlinear Dynamics 28, 273–284 (2002). https://doi.org/10.1023/A:1015685325992

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  • DOI: https://doi.org/10.1023/A:1015685325992

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