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math.DS2026
Adiabatic Invariant Actions for Partially Integrable Systems
Amir Khodaeian Karim, Konstantinos Kourliouros, Dmitry Turaev
We introduce action integrals for partially integrable Hamiltonian systems that interpolate between the non-integrable and completely integrable theory. We show that under the assu…
math.DS2026
Invariant Sets and Boundary Systems of Nonautonomous Differential Inclusions
Konstantinos Kourliouros, Iacopo P. Longo, Martin Rasmussen
In this paper we propose a finite-dimensional and deterministic approach to the study of invariant sets of certain nonautonomous differential inclusions naturally arising in the co…