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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Integrability and constructions of the peakon systems
peakon系统 可积性 构造 Camassa-Holm方程
2023/11/13
Since the discovery of Camassa-Holm equation, because of the special properties that peakon gets, it has received considerable attention in modern Mathematics and Physics. Many new integrable dynamic ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Spectral rigidity and joint integrability for Anosov diffeomorphisms on tori
环形 阿诺索夫微分同胚 谱刚度 联合可积性
2023/4/14
In this talk, we address on the strong rigidity properties from joint integrability in the setting of Anosov diffeomorphisms on tori. More specifically, for an irreducible Anosov diffeomorphism with s...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: Explicit solution to the Riemann-Hilbert problem and integrability of the isomonodromy equation
斯托克斯现象 等单向变形方程 黎曼-希尔伯特问题 显式解 单场方程 可积性
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
Workshop on Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
Workshop Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
2017/12/20
In recent years there has been a growing interest towards the integrability of systems which, though not Hamiltonian, retain some link to—or common origin with—Hamiltonian systems. One such field is t...
New Trends in Low Dimensional Physics: Quantum Integrability and Applications
thermalization properties quantum systems
2016/7/25
The workshop 揘ew Trends in Low-Dimensional Physics: Quantum Integrability and Applications?focuses on integrability, as one of the most significant concepts of modern science, characterized by a wide ...
Using the Continuous Spectrum to “Feel” Integrability: the Effect of Boundary Conditions
Test model integrability partial differential differential difference equations of continuous spectrum
2014/12/29
The scope of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or differential difference equation (DDE). For monoparametric families of PDE/DDE’...
The higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions
Two-dimensional nonlinear model of discretization solitary wave
2014/12/24
We propose a consideration of the properties of the two-dimensional Ablowitz-Ladik discretization of the ubiquitous nonlinear Schr¨odinger (NLS) model. We use singularity confinement techniques to sug...
Liouville-Arnold integrability for scattering under cone potentials
Liouville-Arnold integrability scattering cone potentials Dynamical Systems
2012/4/26
The problem of scattering of particles on the line with repulsive interactions, gives rise to some well-known integrable Hamiltonian systems, for example, the nonperiodic Toda lattice or Calogero's sy...
Complete Integrability for Hamiltonian Systems with a Cone Potential
Complete Integrability Hamiltonian Systems Cone Potential
2012/4/26
It is known that, if a point in $R^n$ is driven by a bounded below potential $V$, whose gradient is always in a closed convex cone which contains no lines, then the velocity has a finite limit as time...
Integrability of higher pentagram maps
Integrability of higher pentagram maps Dynamical Systems
2012/4/23
We define higher pentagram maps on polygons in $P^d$ for any dimension $d$, which extend R.Schwartz's definition of the 2D pentagram map. We prove their integrability for both closed and twisted polyg...
On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System
Lax type integrability Riemann type hydrodynamic system symplectic method differential-algebraic approach
2012/4/26
The complete integrability of a generalized Riemann type hydrodynamic system is studied by means of symplectic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, ...
Liouville-Arnold integrability of the pentagram map on closed polygons
Liouville-Arnold integrability closed polygons Dynamical Systems
2011/9/14
Abstract: The pentagram map is a discrete dynamical system defined on the moduli space of polygons in the projective plane. This map has recently attracted a considerable interest, mostly because its ...
Hybrid classical integrability in squashed sigma models
hybrid classical integrability High Energy Physics - Theory Mathematical Physics
2011/10/9
Abstract: We show that SU(2)_L Yangian and q-deformed SU(2)_R symmetries are realized in a two-dimensional sigma model defined on a three-dimensional squashed sphere. These symmetries enable us to dev...
Integrability of weight modules of degree 1
Integrability of weight modules Representation Theory Hilbert space
2011/8/26
Abstract: The aim of this article is to find all weight modules of degree 1 of a simple complex Lie algebra that integrate to a continuous representation of a simply-connected real Lie group on some H...
Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction
Integrability Supersymmetry Poisson Structures The Pohlmeyer Reduction
2011/7/28
Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction.