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math.DS2018
On a matrix-valued PDE characterizing a contraction metric for a periodic orbit
Peter Giesl
The stability and the basin of attraction of a periodic orbit can be determined using a contraction metric, i.e., a Riemannian metric with respect to which adjacent solutions contr…
math.DS2018
Converse theorem on a contraction metric for a periodic orbit
Peter Giesl
Contraction analysis uses a local criterion to prove the long-term behaviour of a dynamical system. A contraction metric is a Riemannian metric with respect to which the distance b…