4 citations · 11 across the 11 of their papers we have counts for
13 papers
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…
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…
Modules of derivations, logarithmic ideals and singularities of maps on analytic varieties
Carles Bivià-Ausina, Konstantinos Kourliouros, Maria Aparecida Soares Ruas
We introduce the module of derivations attached to a given analytic map and a submodule and analyse sev…
Smooth Persistence of Attractors for Set-Valued Dynamical Systems: A Boundary Map Approach
K. Kourliouros, J. S. W. Lamb, M. Rasmussen +3
We study the problem of persistence of attractors with smooth boundary for a class of set-valued dynamical systems that naturally arise in the context of random and control dynamic…
Bruce-Roberts Numbers and Quasihomogeneous Functions on Analytic Varieties
Carles Bivià-Ausina, Konstantinos Kourliouros, Maria Aparecida Soares Ruas
Given a germ of an analytic variety and a germ of a holomorphic function with a stratified isolated singularity with respect to the logarithmic stratification of , we sh…
Sections of Hamiltonian Systems
Konstantinos Kourliouros
A section of a Hamiltonian system is a hypersurface in the phase space of the system, usually representing a set of one-sided constraints (e.g. a boundary, an obstacle or a set of…
Relative Logarithmic Cohomology and Nambu Structures of Maximal Degree
Konstantinos Kourliouros
We present local classification results for isolated singularities of functions with respect to a Nambu structure (multi-vector field) of maximal degree, in a neighbourhood of a sm…
The Milnor-Palamodov Theorem for Functions on Isolated Hypersurface Singularities
Konstantinos Kourliouros
In this note we give a simple proof of the following relative analog of the well known Milnor-Palamodov theorem: the Bruce-Roberts number of a function relative to an isolated hype…
Local Diffeomorphisms in Symplectic Space and Hamiltonian Systems with Constraints
Konstantinos Kourliouros
In this paper we obtain exact normal forms with functional invariants for local diffeomorphisms, under the action of the symplectomorphism group in the source space. Using these no…
First Occurring Singularities of Functions in Symplectic Semi-Space
Konstantinos Kourliouros, Michail Zhitomirskii
We explain how a classical theorem by Arnol'd and Melrose on non-singular functions on a symplectic manifold with boundary can be proved in few lines, and we use the same method to…
Gauss-Manin Connections for Boundary Singularities and Isochore Deformations
Konstantinos Kourliouros
We study here the relative cohomology and the Gauss-Manin connections associated to an isolated singularity of a function on a manifold with boundary, i.e. with a fixed hyperplane…
A Converse to a Theorem on Normal Forms of Volume Forms with Respect to a Hypersurface
Konstantinos Kourliouros
In this note we give a positive answer to a question asked by Y. Colin de Verdière concerning the converse of the following theorem, due to A. N. Varchenko: two germs of volume for…
Singularities of Functions on the Martinet Plane, Constrained Hamiltonian Systems and Singular Lagrangians
Konstantinos Kourliouros
We consider here the analytic classification of pairs where is a germ of a 2-form on the plane and is a quasihomogeneous function germ with isolated singularities.…