Synchronization and Electronic Circuit Application of Hidden Hyperchaos in a Four-Dimensional Self-Exciting Homopolar Disc Dynamo without Equilibria

Autor: Yu Feng, Zhouchao Wei, Uğur Erkin Kocamaz, Akif Akgül, Irene Moroz
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Complexity, Vol 2017 (2017)
Druh dokumentu: article
ISSN: 1076-2787
1099-0526
DOI: 10.1155/2017/7101927
Popis: 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.
Databáze: Directory of Open Access Journals
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