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Article Dans Une Revue Journal of Vibration and Control Année : 2008

How to Improve Confidence in Calculations for Non-smooth Dynamical Systems

Résumé

In this paper we define an "indicator of tangent variation" that makes it possible to estimate the divergence between pathes starting from different initial conditions and/or parameters. First we work out theoretically this indicator; then we consider two examples: for the first one this indicator is well adapted. The second one corresponds to the case of an impact oscillator. In this case, grazing bifurcations can occur and prevent direct use of the defined indicator.

Dates et versions

hal-00815057 , version 1 (18-04-2013)

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Franziska Schmidt, Claude-Henri Lamarque. How to Improve Confidence in Calculations for Non-smooth Dynamical Systems. Journal of Vibration and Control, 2008, 14 (1-2), pp.231-253. ⟨10.1177/1077546307079406⟩. ⟨hal-00815057⟩

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