Algebraic entropy for semi-discrete equations

被引：4
|
作者：
Demskoi, D. K. [1 ]
Viallet, C-M [2 ]
机构：
[1] Charles Sturt Univ, Sch Comp & Math, Wagga Wagga, NSW 2678, Australia
[2] Sorbonne Univ, Univ Paris 06, Ctr Natl Rech Sci, LPTHE,UMR 7589, F-75252 Paris 05, France
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 35期
关键词：
DIFFERENTIAL-DIFFERENCE EQUATIONS; SINGULARITY CONFINEMENT; INTEGRABILITY CRITERIA; RATIONAL MAPPINGS; DYNAMICS; SYSTEMS; GROWTH; MAPS; SYMMETRIES; CHAOS;
D O I：
10.1088/1751-8113/45/35/352001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We extend the definition of algebraic entropy to semi-discrete (difference-differential) equations. Calculating the entropy for a number of integrable and non integrable systems, we show that its vanishing is a characteristic feature of integrability for this type of equation.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] On some algebraic properties of semi-discrete hyperbolic type equations
    Habibullin, Ismagil
    Pekcan, Asli
    Zheltukhina, Natalya
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2008, 32 (03) : 277 - 292
  • [2] Component splitting for semi-discrete Maxwell equations
    J. G. Verwer
    [J]. BIT Numerical Mathematics, 2011, 51 : 427 - 445
  • [3] Convergence of semi-discrete approximations of Benney equations
    Amorim, Paulo
    Figueira, Mario
    [J]. COMPTES RENDUS MATHEMATIQUE, 2009, 347 (19-20) : 1135 - 1140
  • [4] Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations
    Boyer, Franck
    Le Rousseau, Jerome
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2014, 31 (05): : 1035 - 1078
  • [5] Component splitting for semi-discrete Maxwell equations
    Verwer, J. G.
    [J]. BIT NUMERICAL MATHEMATICS, 2011, 51 (02) : 427 - 445
  • [6] ENTROPY-DISSIPATING SEMI-DISCRETE RUNGE-KUTTA SCHEMES FOR NONLINEAR DIFFUSION EQUATIONS
    Juengel, Ansgar
    Schuchnigg, Stefan
    [J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2017, 15 (01) : 27 - 53
  • [7] Displacement convexity for the entropy in semi-discrete non-linear Fokker-Planck equations
    Carrillo, Jose A.
    Juengel, Ansgar
    Santos, Matheus C.
    [J]. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2019, 30 (06) : 1103 - 1122
  • [8] Semi-discrete approximations for stochastic differential equations and applications
    Halidias, Nikolaos
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2012, 89 (06) : 780 - 794
  • [9] Prolongation structure of semi-discrete nonlinear evolution equations
    Bai Yong-Qiang
    Wu Ke
    Guo Han-Ying
    Zhao Wei-Zhong
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2007, 48 (04) : 591 - 600
  • [10] Semi-discrete optimal transport methods for the semi-geostrophic equations
    David P. Bourne
    Charlie P. Egan
    Beatrice Pelloni
    Mark Wilkinson
    [J]. Calculus of Variations and Partial Differential Equations, 2022, 61
12345