Synchronization and Electronic Circuit Application of Hidden Hyperchaos in a Four-Dimensional Self-Exciting Homopolar Disc Dynamo without Equilibria
Joint Authors
Akgul, Akif
Wei, Zhouchao
Feng, Yu
Kocamaz, Uğur Erkin
Moroz, Irene
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We introduce and investigate a four-dimensional hidden hyperchaotic system without equilibria, which is obtained by augmenting the three-dimensional self-exciting homopolar disc dynamo due to Moffatt with an additional control variable.
Synchronization of two such coupled disc dynamo models is investigated by active control and sliding mode control methods.
Numerical integrations show that sliding mode control provides a better synchronization in time but causes chattering.
The solution is obtained by switching to active control when the synchronization errors become very small.
In addition, the electronic circuit of the four-dimensional hyperchaotic system has been realized in ORCAD-PSpice and on the oscilloscope by amplitude values, verifying the results from the numerical experiments.
American Psychological Association (APA)
Feng, Yu& Wei, Zhouchao& Kocamaz, Uğur Erkin& Akgul, Akif& Moroz, Irene. 2017. Synchronization and Electronic Circuit Application of Hidden Hyperchaos in a Four-Dimensional Self-Exciting Homopolar Disc Dynamo without Equilibria. Complexity،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1143355
Modern Language Association (MLA)
Feng, Yu…[et al.]. Synchronization and Electronic Circuit Application of Hidden Hyperchaos in a Four-Dimensional Self-Exciting Homopolar Disc Dynamo without Equilibria. Complexity No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1143355
American Medical Association (AMA)
Feng, Yu& Wei, Zhouchao& Kocamaz, Uğur Erkin& Akgul, Akif& Moroz, Irene. Synchronization and Electronic Circuit Application of Hidden Hyperchaos in a Four-Dimensional Self-Exciting Homopolar Disc Dynamo without Equilibria. Complexity. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1143355
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143355