On different families of hidden chaotic attractors in fractional order dynamical systems

被引：0

作者：

Giovanni Hernandez-Orbe, Samuel ^{[1
]}

Manuel Munoz-Pacheco, Jesus ^{[1
]}

Ardul Munoz-Hernandez, German ^{[1
]}

Zambrano-Serrano, Ernesto ^{[1
]}

机构：

[1] Univ Autonoma Puebla, Fac Ciencias Elect Benemerita, Puebla, Mexico

来源：

2018 IEEE INTERNATIONAL AUTUMN MEETING ON POWER, ELECTRONICS AND COMPUTING (ROPEC) | 2018年

关键词：

Chaos; hidden attractors; fractional derivative; Grundwald-Letnikov; CANONICAL DYNAMICS; FLOWS;

D O I：

暂无

中图分类号：

TE [石油、天然气工业]; TK [能源与动力工程];

学科分类号：

0807 ; 0820 ;

摘要：

Chaotic systems with hidden attractors and their families (infinite number of equilibria, stable equilibria and without equilibria) are important in applications of engineering. However, studies about hidden attractors in fractional order dynamical systems are limited. In this paper, we perform a numerical analysis of fractional order chaotic systems with hidden attractors by using the Grundwald-Letnikov integration method. In particular, we determine that the fractional order is a key parameter to observe hidden chaotic attractors belonging to the aforementioned families.

引用

页数：5

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