Comments on "Analysis and application of a novel three-dimensional energy-saving and emission-reduction dynamic evolution system" [Energy 40 (2012) 291-299]

被引：6

作者：

Algaba, Antonio ^{[1
]}

Fernandez-Sanchez, Fernando ^{[2
]}

Merino, Manuel ^{[1
]}

Rodriguez-Luis, Alejandro J. ^{[2
]}

机构：

[1] Univ Huelva, Fac Ciencias Expt, Dept Matemat, Huelva 21071, Spain

[2] Univ Seville, ES Ingenieros, Dept Matemat Aplicada 2, Seville 41092, Spain

来源：

ENERGY | 2012年 / 47卷 / 01期

关键词：

Energy-saving and emission-reduction; Carbon emissions; Undetermined coefficient method; Silnikov homoclinic; Chaos; AUTONOMOUS CHAOTIC SYSTEM; DEMAND-SUPPLY SYSTEM; HETEROCLINIC ORBITS; SILNIKOV CHAOS; SHILNIKOV TYPE; CHEN CIRCUIT; TIME-DELAY; EXISTENCE; ATTRACTOR;

D O I：

10.1016/j.energy.2012.07.033

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In the commented paper the authors propose a novel three-dimensional energy-saving and emission-reduction system. They claim to prove the existence of Silnikov homoclinic orbits by using the undetermined coefficient method and, consequently, the Silnikov theorem guarantees that the system has Smale horseshoes and the horseshoe chaos. Unfortunately, their demonstration is invalid because the form of the function they assume in the series expansion for the homoclinic orbits is incorrect. Namely, they compose the homoclinic orbit of the same manifold, which is stable in forward time and unstable in reverse time. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：630 / 633

页数：4

共 42 条

[1]

Algaba A, 2009, ACTA ASTRONAUT, V65, P1628

[2]

Algaba A, J COMPUT NO IN PRESS

[3] Comment on 'Stability and chaos of a damped satellite partially filled with liquid' [Acta Astronautica 65 (2009) 1628-1638] [J].

Algaba, Antonio ;

Fernandez-Sanchez, Fernando ;

Merino, Manuel ;