搜索结果: 1-6 共查到“积分方程 integrable”相关记录6条 . 查询时间(0.062 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...
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\...
Classification of Parameter-Dependent Quantum Integrable Models, Their Parameterization, Exact Solution, and Other Properties
Parameter-Dependent Quantum Integrable Models Exact Solution Classification Properties
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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
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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
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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
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2010/12/28
We provide a new natural interpretation of the Lax representation for an integrable system; that is,