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A new hyperjerk dynamical system with hyperchaotic attractor and two saddle-focus rest points exhibiting Hopf bifurcations, its hyperchaos synchronisation and circuit implementation

Abstract:

A new 4D dynamical hyperjerk system with hyperchaos is reported in this work. The proposed nonlinear mechanical system with hyperchaos has two saddle-focus rest points exhibiting Hopf bifurcations. A detailed bifurcation analysis of the new hyperjerk plant with theory and simulations is discussed. As a control application, an integral sliding mode controller has been designed for the global hyperchaos synchronisation of the new hyperjerk system with itself. Finally, a circuit model using Mult...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1504/IJMIC.2019.107481

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Hilda's College
Role:
Author
ORCID:
0000-0003-1503-939X
Publisher:
Inderscience Publisher's website
Journal:
International Journal of Modelling, Identification and Control Journal website
Volume:
33
Issue:
4
Pages:
299-310
Publication date:
2020-05-27
Acceptance date:
2019-10-14
DOI:
EISSN:
1746-6180
ISSN:
1746-6172
Source identifiers:
1063515
Language:
English
Keywords:
Pubs id:
pubs:1063515
UUID:
uuid:68a21741-beaf-4d8a-be01-9ff5c4904211
Local pid:
pubs:1063515
Deposit date:
2019-10-18

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