Energy cycle and bound of Qi chaotic system

Qi, G; Zhang, J

Energy cycle and bound of Qi chaotic system

Qi, G Zhang, J

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Publication Type:: Journal Article
Citation:: Chaos, Solitons and Fractals, 2017, 99 pp. 7 - 15
Issue Date:: 2017-06-01

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Field	Value	Language
dc.contributor.author	Qi, G	en_US
dc.contributor.author	Zhang, J https://orcid.org/0000-0003-2616-6722	en_US
dc.date.available	2020-05-25T19:05:59Z
dc.date.issued	2017-06-01	en_US
dc.identifier.citation	Chaos, Solitons and Fractals, 2017, 99 pp. 7 - 15	en_US
dc.identifier.issn	0960-0779	en_US
dc.identifier.uri	http://hdl.handle.net/10453/88116
dc.description.abstract	© 2017 The Qi chaotic system is transformed into a Kolmogorov-type system, thereby facilitating the analysis of energy exchange in its different forms. Regarding four forms of energy, the vector field of this chaotic system is decomposed into four forms of torque: inertial, internal, dissipative, and external. The rate of change of the Casimir function is equal to the exchange power between the dissipative energy and the supplied energy. The exchange power governs the orbital behavior and the cycling of energy. With the rate of change of Casimir function, a general bound and least upper bound of the Qi chaotic attractor are proposed. A detailed analysis with illustrations is conducted to uncover insights, in particular, cycling among the different types of energy for this chaotic attractor and key factors producing the different types of dynamic modes.	en_US
dc.relation.ispartof	Chaos, Solitons and Fractals	en_US
dc.relation.isbasedon	10.1016/j.chaos.2017.03.044	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	Energy cycle and bound of Qi chaotic system	en_US
dc.type	Journal Article
utslib.citation.volume	99	en_US
utslib.for	09 Engineering	en_US
utslib.for	090602 Control Systems, Robotics and Automation	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	08 Information and Computing Sciences	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
utslib.copyright.status	open_access
pubs.publication-status	Published	en_US
pubs.volume	99	en_US

Abstract:

© 2017 The Qi chaotic system is transformed into a Kolmogorov-type system, thereby facilitating the analysis of energy exchange in its different forms. Regarding four forms of energy, the vector field of this chaotic system is decomposed into four forms of torque: inertial, internal, dissipative, and external. The rate of change of the Casimir function is equal to the exchange power between the dissipative energy and the supplied energy. The exchange power governs the orbital behavior and the cycling of energy. With the rate of change of Casimir function, a general bound and least upper bound of the Qi chaotic attractor are proposed. A detailed analysis with illustrations is conducted to uncover insights, in particular, cycling among the different types of energy for this chaotic attractor and key factors producing the different types of dynamic modes.

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http://hdl.handle.net/10453/88116