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

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 nu...

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Bibliographic Details
Main Authors: Hernandez-Orbe, Samuel Giovanni, Muoz-Pacheco, Jess Manuel, Munoz-Hernandez, German Ardl, Zambrano-Serrano, Ernesto
Format: Conference Proceeding
Language:English
Subjects:
Chaos
fractional derivative
Generators
Gründwald-Letnikov
hidden attractors
Nonlinear dynamical systems
Numerical analysis
Three-dimensional displays
Trajectory
Transforms
Online Access:Request full text
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Summary: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 Gründwald-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.
ISSN:2573-0770
DOI:10.1109/ROPEC.2018.8661435