搜索结果: 1-6 共查到“积分方程 Integrable”相关记录6条 . 查询时间(0.078 秒)
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...
On a unified formulation of completely integrable systems
integrable systems Hamiltonian dynamics linear normal forms
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\...
Classification of Parameter-Dependent Quantum Integrable Models, Their Parameterization, Exact Solution, and Other Properties
Parameter-Dependent Quantum Integrable Models Exact Solution Classification Properties
2011/7/7
We study general quantum integrable Hamiltonians linear in a coupling constant and represented by finite NxN real symmetric matrices. The restriction on the coupling dependence leads to a natural noti...
Integrable deformations of Lotka-Volterra systems
Lotka-Volterra perturbations integrable systems Lie groups Poisson coalgebras Casimir functions N-dimensional
2011/7/5
The Hamiltonian structure of a class of three-dimensional (3D) Lotka-Volterra (LV) equations is
revisited by showing that the quadratic Poisson structure underlying its integrability structure
is ju...
Families of integrable equations
Integrable lattice equations Yang-Baxter maps Consistency around the cube
2011/7/5
We present a method to obtain families of lattice equations. Specifically we focus on two of such
families, which include 3-parameters and their members are connected through B¨acklund transformation...
Systematic method of generating new integrable systems via inverse Miura maps
modified integrable systems Lax representation (inverse) Miura transformation
2010/12/28
We provide a new natural interpretation of the Lax representation for an integrable system; that is,
