Journal article

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 MultiSim of the new hyperjerk system with hyperchaos is designed for practical implementation.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Vaidyanathan, S., Moroz, I. M., & Sambas, A. (2020). A new hyperjerk dynamical system with hyperchaotic attractor and two saddle-focus rest points exhibiting Hopf bifurcations, its hyperchaos synchronisation and circuit implementation. International Journal of Modelling, Identification and Control, 33(4), 299–310.

MLA Style

Vaidyanathan, S., et al. “A New Hyperjerk Dynamical System with Hyperchaotic Attractor and Two Saddle-Focus Rest Points Exhibiting Hopf Bifurcations, Its Hyperchaos Synchronisation and Circuit Implementation.” International Journal of Modelling, Identification and Control, vol. 33, no. 4, Inderscience, 2020, pp. 299–310.

Chicago Style

Vaidyanathan, S, IM Moroz, and A Sambas. 2020. “A New Hyperjerk Dynamical System with Hyperchaotic Attractor and Two Saddle-Focus Rest Points Exhibiting Hopf Bifurcations, Its Hyperchaos Synchronisation and Circuit Implementation.” International Journal of Modelling, Identification and Control 33 (4): 299–310.
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Files:: IJMIC-Accepted.pdf

(Preview, Accepted manuscript, pdf, 3.8MB, Terms of use)

Publisher copy:: 10.1504/IJMIC.2019.107481

Authors

+ Vaidyanathan, S More by this author

Role:: Author

+ Moroz, IM More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Oxford college:: St Hilda's College
Role:: Author
ORCID:: 0000-0003-1503-939X

+ Sambas, A More by this author

Role:: Author

Publisher:: Inderscience
Journal:: International Journal of Modelling, Identification and Control More from this journal
Volume:: 33
Issue:: 4
Pages:: 299-310
Publication date:: 2020-05-27
Acceptance date:: 2019-10-14
DOI:: 10.1504/IJMIC.2019.107481
EISSN:: 1746-6180
ISSN:: 1746-6172

Language:: English
Keywords:: hyperjerk

circuit design

bifurcations

hyperchaos

synchronisation

sliding mode control

hyperchaotic systems
Pubs id:: pubs:1063515
UUID:: uuid:68a21741-beaf-4d8a-be01-9ff5c4904211
Local pid:: pubs:1063515
Source identifiers:: 1063515
Deposit date:: 2019-10-18

Terms of use

Copyright holder:: Inderscience Enterprises Ltd.
Copyright date:: 2020
Rights statement:: © 2020 Inderscience Enterprises Ltd.
Notes:: This is the accepted manuscript version of the article. The final version is available online from Inderscience at: https://doi.org/10.1504/IJMIC.2019.107481

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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