Entropy production: evolution criteria, robustness and fractal dimension

被引：0

作者：

Betancourt-Mar, J. A. ^{[1
]}

Rodriguez-Ricard, M. ^{[2
]}

Mansilla, R. ^{[3
]}

Cocho, G. ^{[4
]}

Nieto-Villar, J. M. ^{[1
,5
,6
]}

机构：

[1] Mexican Inst Complex Syst, Tamaulipas, Mexico

[2] Univ La Habana, Fac Matemat & Comp, Dept Ecuac Diferenciales, Havana 10400, Cuba

[3] Univ Nacl Autonoma Mexico, Ctr Invest Interdisciplinarias Ciencias & Humanid, Mexico City 04510, DF, Mexico

[4] Univ Nacl Autonoma Mexico, Dept Sistemas Complejos, Inst Fis, Mexico City 04510, DF, Mexico

[5] Univ Havana, Fac Chem, MV Lomonosov Chem Div, Dept Chem Phys, Havana 10400, Cuba

[6] Univ Havana, Fac Phys, H Poincare Grp Complex Syst, Havana 10400, Cuba

来源：

REVISTA MEXICANA DE FISICA | 2016年 / 62卷 / 02期

关键词：

Irreversible thermodynamics; complex systems; fractal dimension; CHAOS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It was proved through Rossler model, where the funnel case is more robust tan spiral chaos, the entropy production per unit time is a Lyapunov's function on the space of the control system parameters. It was established the conjecture of entropy production fractal dimension. The current theoretical framework will hopefully provide a better understanding of the relationship between thermodynamics and nonlinear dynamics and contribute to unify theses through complex systems theory.

引用

页码：164 / 167

页数：4

共 21 条

[1] THEORETICAL MODELS FOR CHRONOTHERAPY: PERIODIC PERTURBATIONS IN HYPERCHAOS
Alberto Betancourt-Mar, Juvencio
Alfonso Mendez-Guerrero, Victor
Hernandez-Rodriguez, Carlos
Manuel Nieto-Villar, Jose
[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2010, 7 (03) : 553 - 560
[2] Andronov AA, 1966, Theory of Oscillators
[3] [Anonymous], 2000, Studies in nonlinearity
[4] [Anonymous], 1995, Thermodynamics of chaotic systems: an introduction
[5] HYPERCHAOS AND CHAOTIC HIERARCHY IN LOW-DIMENSIONAL CHEMICAL-SYSTEMS
BAIER, G
SAHLE, S
[J]. JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (12) : 8907 - 8911
[6] Betancourt-Mar JA, 2007, MATH BIOSCI ENG, V4, P177
[7] THE DIMENSION OF CHAOTIC ATTRACTORS
FARMER, JD
OTT, E
YORKE, JA
[J]. PHYSICA D-NONLINEAR PHENOMENA, 1983, 7 (1-3) : 153 - 180
[8] Gaspard P, 2007, ADV CHEM PHYS, V135, P83
[9] Gear C.W., 1968, P IFIP C 68 ED 1968, V68, P187
[10] 2ND-LAW IRREVERSIBILITY AND PHASE-SPACE DIMENSIONALITY LOSS FROM TIME-REVERSIBLE NONEQUILIBRIUM STEADY-STATE LYAPUNOV SPECTRA
HOOVER, WG
POSCH, HA
[J]. PHYSICAL REVIEW E, 1994, 49 (03): : 1913 - 1920

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