Results 61 to 70 of about 4,616 (166)

A Global Kam-Theorem: Monodromy in Near-Integrable Perturbations of Spherical Pendulum

open access: yesJournal of Mathematical and Fundamental Sciences, 2019
The KAM Theory for the persistence of Lagrangean invariant tori in nearly integrable Hamiltonian systems is lobalized to bundles of invariant tori. This leads to globally well-defined conjugations between near-integrable systems and their integrable ...
Henk W. Broer
doaj  

Lectures on Classical Integrable Systems and Gauge Field Theories

open access: yesActa Polytechnica, 2008
In these lectures we consider Hitchin integrable systems and their relations with the self-duality equations and twisted super-symmetric Yang-Mills theory in four dimension.
M. Olshanetsky
doaj  

On dual regime in Yang-Baxter deformed O(2N) sigma models

open access: yesJournal of High Energy Physics
In this paper, we explore a new class of integrable sigma models, which we refer to as the “dual regime” of Yang-Baxter (YB) deformed O(2N) sigma models. This dual regime manifests itself in the conformal perturbation approach.
Alexey Bychkov, Alexey Litvinov
doaj   +1 more source

N-Dimensional Lattice Integrable Systems and Their bi-Hamiltonian Structure on the Time Scale Using the R-Matrix Approach

open access: yesAxioms
A time scale is a special measure chain that can unify continuous and discrete spaces, enabling the construction of integrable equations. In this paper, with the Lax operator generated by the displacement operator, N-dimensional lattice integrable ...
Yong Fang   +3 more
doaj   +1 more source

Systems of integrable derivations

open access: yesLe Matematiche, 1994
Let A be a commutative k-algebra, with k a subring of A. We give the definition of n-dimensional differentiation of A over k which formally extends the known one of unidimensional differentiation and we study the group of all n-dimensional ...
Vittoria Bonanzinga
doaj  

Open problems, questions and challenges in finite- dimensional integrable systems. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2018
Bolsinov A   +3 more
europepmc   +1 more source

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