Limit Cycle Analysis of the Verge and Foliot Clock Escapement using Impulsive Differential Equations and Poincar´e Maps

The verge and foliot escapement mechanism of a mechanical clock is a classical example of a feedback regulator. In this paper we analyse the dynamics of this mechanism to understand its operation from a feedback perspective. Using impulsive differential equations and Poincare´ maps to model the dyna...

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Journal Title: International Journal of Control Vol. 76; no. 17; pp. 1685 - 1698
Authors: W.M. Haddad, V. Chellaboina, A. Roup, D.S. Bernstein, Sergey Nersesov
Format: Article
Published: Nov 2003