BI-HAMILTONIAN STRUCTURE OF THE KAWACHI EQUATIONS

被引：0

作者：

Tudoran, Razvan M. ^{[1
,2
]}

Girban, Anania ^{[3
]}

机构：

[1] W Univ Timisoara, Fac Math, Timisoara 300223, Romania

[2] W Univ Timisoara, CS Dept Math, Timisoara 300223, Romania

[3] Politeh Univ Timisoara, Dept Math, Timisoara 300006, Romania

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2010年 / 7卷 / 04期

关键词：

Bi-Hamiltonian dynamical systems; rumor transmission; TRANSMISSION; MODELS;

D O I：

10.1142/S0219887810004476

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The 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.

引用

页码：625 / 629

页数：5

共 9 条

[1]

[Anonymous], 1973, Mathematical Models and Applications

[2]

Castillo-Chavez C, 2003, FRONT APP M, V28, P155

[3]

Daley D. J., 1965, IMA J APPL MATH, V1, P42, DOI DOI 10.1093/IMAMAT/1.1.42

[4] POISSON STRUCTURES - TOWARDS A CLASSIFICATION [J].

GRABOWSKI, J ;

MARMO, G ;

PERELOMOV, AM .

MODERN PHYSICS LETTERS A, 1993, 8 (18) :1719-1733

[5] Deterministic models for rumor transmission [J].

Kawachi, Kazuki .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (05) :1989-2028

[6]

Landahl HD, 1953, B MATH BIOPHYS, V15, P367

[7]

Marsden JE., 1999, INTRO MECH SYMMETRY, V17

[8]

Rapoport A, 1952, Bull Math Biophys, V14, P375

[9]

Ratiu TS, 2005, LOND MATH S, V306, P23

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