Chaotic motions of a two-dimensional airfoil with cubic nonlinearity in supersonic flow

被引：4

作者：

Algaba, Antonio ^{[1
]}

Fernandez-Sanchez, Fernando ^{[2
]}

Merino, Manuel ^{[1
]}

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

机构：

[1] Univ Huelva, Fac Ciencias Experiment, Dept Maternat, Huelva 21071, Spain

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

来源：

AEROSPACE SCIENCE AND TECHNOLOGY | 2013年 / 28卷 / 01期

关键词：

Airfoil; Chaotic motion; Nonlinearity; Si'lnikov criterion; HETEROCLINIC ORBITS; SHILNIKOV TYPE; CHEN CIRCUIT; TIME-DELAY; SYSTEM; EXISTENCE; ATTRACTOR;

D O I：

10.1016/j.ast.2012.12.008

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

In the commented paper the authors consider a model of a two-dimensional airfoil with cubic nonlinearity in supersonic flow. They claim to prove the existence of Si'lnikov homoclinic orbits by using the undetermined coefficient method and, consequently, Smale horseshoe chaos occurs via Si'lnikov criterion. 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) 2013 Elsevier Masson SAS. All rights reserved.

引用

页码：431 / 434

页数：4

共 23 条

[1]

Algaba A., 2008, CHAOS, V18

[2]

Algaba A., 2011, J COMPUT NONLINEAR D, V6

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

Algaba, Antonio ;

Fernandez-Sanchez, Fernando ;

Merino, Manuel ;