153 citations
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math.DS2022★ 2 cited
Finding positively invariant sets and proving exponential stability of limit cycles using Sum-of-Squares decompositions
Elias August, Mauricio Barahona
The dynamics of many systems from physics, economics, chemistry, and biology can be modelled through polynomial functions. In this paper, we provide a computational means to find p…
math.DS2012
Construction of a CPA contraction metric for periodic orbits using semidefinite optimization
Peter Giesl, Sigurdur Hafstein
A Riemannian metric with a local contraction property can be used to prove existence and uniqueness of a periodic orbit and determine a subset of its basin of attraction. While the…
math.DS2007
On the Induction Operation for Shift Subspaces and Cellular Automata as Presentations of Dynamical Systems
Silvio Capobianco
We consider continuous, translation-commuting transformations of compact, translation-invariant families of mappingsfrom finitely generated groups into finite alphabets. It is well…