Bi-Hamiltonian dynamical systemsrumor transmissionThe age-independent deterministic model for the transmission of a constant rumor, recently proposed by Kawachi, is shown to admit a bi-Hamiltonian structure, structure that is leading to its complete integrability.Tudoran, R.M....
释义: 全部 更多例句筛选 1. New Lax Integrable Hierarchy of Evolution Equations and Its Infinite-Dimensional Bi-Hamiltonian Structure 新的Lax可积发展方程族及其无限维双-哈密顿结构 www.ilib.cn 2. A New Integrable System and Its Bi-Hamiltonian Structure 一族新的可积系及其双哈密顿结构 www.ilib.cn...
Bi-Hamiltonian structuresIntegrable systemsSubmanifolds of Frobenius manifolds are studied. In particular, so-called natural submanifolds are defined and, for semi-simple Frobenius manifolds, classified. These carry the structure of a Frobenius algebra on each tangent space, but will, in general, be ...
In this work one proves that, around each point of a dense open set (regular points), a real analytic or holomorphic bihamiltonian structure decomposes into a product of a Kronecker bihamiltonian structure and a symplectic one if a necessary condition on the characteristic polynomial of the ...
Hamiltonian structure of equations appearing in random matrices, In: Geometric and quantum aspects of integrable systems. Lect - Harnad, Tracy, et al... J Harnad,CA Tracy,H Widom - Springer US 被引量: 92发表: 1993年 A hierarchy of non-linear evolution equations its Hamiltonian structure and...
Central Invariants of Semisimple Bihamiltonian Structures 383 It has the representation w t = {w(x), H 1 } 1 = 2 3 {w(x), H 0 } 2 with H 0 = 1 2 w 2 (x)dx, H 1 = ( 1 6 w 3 (x) − ǫ 2 24 (w ′ (x)) 2 )dx. The bihamiltonian structure of the KdV equ...
A first Hamiltonian structure is introduced from a Poisson bracket P 1 (x, y) = { r i , r j } { r i , q m } { q l , r j } { q l , q m } = 0 −I I 0 δ(x −y) (1.7) A second Poisson bracket structure can be obtained from the recursion operator R = ...
Nonlinear bi-integrable couplings with Hamiltonian structuresdoi:10.1016/j.matcom.2013.11.007Bi-integrable couplingZero curvature equationHamiltonian structureBi-integrable couplings of soliton equations are presented through introducing non-semisimple matrix Lie algebras on which there exist non-degenerate, ...
A method of generating a MMGD (Magri–Morosi-Gel'fand–Dorfman) bi-Hamiltonian structure leading to complete integrability of the associated Hamiltonian system is presented. The Hamiltonian formalism is defined in terms of the fundamental notions of the Poisson calculus. 关键词: Poisson calculus cont...
Kronecker webs, bihamiltonian structures, and the method of argument translation We show that manifolds which parameterize values of first integrals of integrable finite-dimensional bihamiltonian systems carry a geometric structure whic... I Zakharevich - 《Transformation Groups》 被引量: 52发表: 2001...