Generalized statistical complexity measures: Geometrical and analytical properties

被引：287

作者：

Martin, M. T.

Plastino, A.

Rosso, O. A.

机构：

[1] Univ Nacl La Plata, Fac Ciencias Exactas, Inst Fis, RA-1900 La Plata, Argentina

[2] Argentinas Natl Res Council, CONICET, RA-1900 La Plata, Argentina

[3] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Inst Calcula, Chaos & Biol Grp, RA-1428 Buenos Aires, DF, Argentina

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2006年 / 369卷 / 02期

关键词：

statistical complexity; entropy; disequilibrium; distances in probability space; dynamical systems;

D O I：

10.1016/j.physa.2005.11.053

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss bounds on the values adopted by the generalized statistical complexity measures [M.T. Martin et al., Phys. Lett. A 311 (2003) 126; P.W. Lamberti et al., Physica A 334 (2004) 119] introduced by Lopez Ruiz et al. [Phys. Lett. A 209 (1995) 321] and Shiner et al. [Phys. Rev. E 59 (1999) 1459]. Several new theorems are proved and illustrated with reference to the celebrated logistic map. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：439 / 462

页数：24

共 45 条

[1]

[Anonymous], 1975, MATH SCI ENG

[2]

[Anonymous], 1994, COPING CHAOS

[3] Some features of the Lopez-Ruiz-Mancini-Calbet (LMC) statistical measure of complexity [J].