搜索结果: 1-15 共查到“知识库 数学 INTEGRABLE SYSTEMS”相关记录21条 . 查询时间(0.13 秒)
PIECEWISE SMOOTH PERTURBATIONS OF INTEGRABLE SYSTEMS
INTEGRABLE SYSTEMS PERTURBATIONS
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2015/9/29
We review several recent results showing that small piecewise smooth perturbations of integrable systems may exhibit unstable behavior on the set of initial condition
of large measure. We also presen...
Orbits of nearly integrable systems accumulating to KAM tori
nearly integrable systems KAM tori
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2015/9/25
Orbits of nearly integrable systems accumulating to KAM tori.
Double Bruhat Cells in Kac-Moody Groups and Integrable Systems
Double Bruhat Cells Kac-Moody Groups Integrable Systems Quantum Algebra
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2012/4/18
We construct a family of integrable Hamiltonian systems parametrized by pairs of Coxeter elements in the affine Weyl group. Their phase spaces are double Bruhat cells in the corresponding Kac-Moody gr...
Dimers and cluster integrable systems
cluster integrable systems Algebraic Geometry
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2011/9/22
Abstract: We show that the dimer model on a bipartite graph on a torus gives rise to a quantum integrable system of special type - a cluster integrable system. The phase space of the classical system ...
On a unified formulation of completely integrable systems
integrable systems Hamiltonian dynamics linear normal forms
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2011/7/7
The purpose of this article is to show that a $\mathcal{C}^1$ differential system on $\R^n$ which admits a set of $n-1$ independent $\mathcal{C}^2$ conservation laws defined on an open subset $\Omega\...
A new dynamical reflection algebra and related quantum integrable systems
new dynamical reflection algebra quantum integrable systems
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2011/7/7
We propose a new dynamical reflection algebra, distinct from the previous dynamical boundary algebra and semi-dynamical reflection algebra. The associated Yang-Baxter equations, coactions, fusions, an...
Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators
Kupershmidt deformation bi-Hamiltonian systems Rosochatius deformation soliton equation with self-consistent sources
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2011/7/6
When both Hamiltonian operators of a bi-Hamiltonian system are
pure differential operators, we show that the generalized Kupershmidt defor-
mation (GKD) developed from the Kupershmidt deformation in...
Explicit Solutions to Boundary Problems for 2+1-Dimensional Integrable Systems
Boundary Problems 2+1-Dimensional Integrable Systems
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2011/2/21
Nonlinear integrable models with two spatial and one temporal variables: Kadomtsev-Petviashvili equation and two-dimensional Toda lattice are investigated on the subject of correct formulation for bou...
Explicit Solutions to Boundary Problems for 2+1-Dimensional Integrable Systems
Explicit Solutions to Boundary Problems 2+1-Dimensional Integrable Systems
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2010/12/28
Nonlinear integrable models with two spatial and one temporal variables: Kadomtsev-Petviashvili equation and two-dimensional Toda lattice are investigated on the subject of correct formulation for bou...
Systematic method of generating new integrable systems via inverse Miura maps
modified integrable systems Lax representation
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2011/3/2
We provide a new natural interpretation of the Lax representation for an integrable system; that is, the spectral problem is the linearized form of a Miura transformation between the original system a...
Systematic method of generating new integrable systems via inverse Miura maps
modified integrable systems Lax representation (inverse) Miura transformation
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2010/12/28
We provide a new natural interpretation of the Lax representation for an integrable system; that is,
T-systems and Y-systems in integrable systems
High Energy Physics - Theory (hep-th) Quantum Algebra (math.QA) Exactly Solvable and Integrable Systems (nlin.SI)
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2010/11/10
The T and Y-systems are ubiquitous structures in classical and quantum integrable systems. They are difference equations having a variety of aspects related to commuting transfer matrices in solvable ...
Bi-presymplectic representation of Liouville integrable systems and related separability theory
Bi-presymplectic representation Liouville integrable systems related separability theory
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2010/12/15
Bi-presymplectic chains of one-forms of arbitrary co-rank are considered. The conditions in which such chains represent some Liouville integrable systems and the conditions in which there exist relate...
Quantum revivals in two degrees of freedom integrable systems : the torus case
two degrees of freedom integrable systems torus case
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2010/11/26
The paper deals with the semi-classical behaviour of quantum dynamics for a semi-classical completely integrable system with two degrees of freedom near Liouville regular torus. The phenomomenon of wa...
Discrete integrable systems, positivity, and continued fraction rearrangements
cluster algebras Laurent phenomenon positivity integrable systems
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2010/12/3
In this review article, we present a unified approach to solving discrete,integrable, possibly non-commutative, dynamical systems, including the Qand T-systems based on Ar.