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Baxter Operators in Ruijsenaars Hyperbolic System I: Commutativity of Q-Operators

Annales de l'Institute Henri Poincare. Physique theorique, 2023
We introduce Baxter Q-operators for the quantum Ruijsenaars hyperbolic system. We prove that they represent a commuting family of integral operators and also commute with Macdonald difference operators, which are gauge equivalent to the Ruijsenaars ...
†. N.Belousov   +3 more
semanticscholar   +1 more source

PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS

Mathematics of the USSR-Izvestiya, 1974
Smooth dynamical systems having contracting and expanding invariant foliations (of not necessarily complementary dimensions) are investigated. Ergodicity and the K-property are established for such dynamical systems under additional assumptions.
Brin, M. I., Pesin, Ya. B.
openaire   +4 more sources

Delta shock wave as self-similar viscosity limit for a strictly hyperbolic system of conservation laws

Journal of Mathematics and Physics, 2019
In this article, we study the Riemann problem for a strictly hyperbolic system of conservation laws. The governing system arises in nonlinear elasticity and gas dynamics.
A. Sen, T. Raja Sekhar
semanticscholar   +1 more source

Hyperbolic stochastic Galerkin formulation for the p-system

Journal of Computational Physics, 2019
We analyze properties of stochastic hyperbolic systems using a Galerkin formulation, which reformulates the stochastic system as a deterministic one that describes the evolution of polynomial chaos modes. We investigate conditions such that the resulting
Stephan Gerster   +2 more
semanticscholar   +1 more source

Sectional-hyperbolic systems

Ergodic Theory and Dynamical Systems, 2008
AbstractWe introduce a class of vector fields onn-manifolds containing the hyperbolic systems, the singular-hyperbolic systems on 3-manifolds, the multidimensional Lorenz attractors and the robust transitive singular sets in Liet al[Robust transitive singular sets via approach of an extended linear Poincaré flow.Discrete Contin. Dyn. Syst.13(2) (2005),
Metzger, R., Morales, C.
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Hyperbolic Systems

1994
Abstract Extended summary of the contribution given at the SERC Numerical Analysis Summer School, Lancaster University, July 1992.) A large variety of physical phenomena is described by hyperbolic systems. Fluid dynamics is probably the field of major relevance: compressible flows (unsteady and steady supersonic), shallow waters ...
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Linear Hyperbolic Systems

2018
This chapter is devoted to aspects of linear hyperbolic systems. We have in mind mainly two classes of systems, symmetric hyperbolic and strictly hyperbolic ones. First we discuss these classes of systems with constant coefficients. Fourier analysis coupled with function-theoretical methods imply well-posedness results for different classes of ...
Marcelo R. Ebert, Michael Reissig
openaire   +1 more source

Random Hyperbolic Systems

2007
We review definitions of random hyperbolic sets and introduce a characterization using random cones. Moreover we discuss problems connected with symbolic representations and the thermodynamic formalism for random hyperbolic systems both in discrete and continuous time cases.
Volker Matthias Gundlach, Yuri Kifer
openaire   +1 more source

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