Chaos-fractals theories and applications Yu, Hai; Elwakil ...
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Chaos-fractals theories and applications Yu, Hai; Elwakil, Ahmed; Ryashko, Lev; Wang, Yuncai; Chen, Guanrong Published in: Mathematical Problems in Engineering Published: 01/01/2014 Document Version: Final Published version, also known as Publisher’s PDF, Publisher’s Final version or Version of Record License: CC BY Publication record in CityU Scholars: Go to record Published version (DOI): 10.1155/2014/567281 Publication details: Yu, H., Elwakil, A., Ryashko, L., Wang, Y., & Chen, G. (2014). Chaos-fractals theories and applications. Mathematical Problems in Engineering, 2014, [567281]. https://doi.org/10.1155/2014/567281 Citing this paper Please note that where the full-text provided on CityU Scholars is the Post-print version (also known as Accepted Author Manuscript, Peer-reviewed or Author Final version), it may differ from the Final Published version. When citing, ensure that you check and use the publisher's definitive version for pagination and other details. General rights Copyright for the publications made accessible via the CityU Scholars portal is retained by the author(s) and/or other copyright owners and it is a condition of accessing these publications that users recognise and abide by the legal requirements associated with these rights. Users may not further distribute the material or use it for any profit-making activity or commercial gain. Publisher permission Permission for previously published items are in accordance with publisher's copyright policies sourced from the SHERPA RoMEO database. Links to full text versions (either Published or Post-print) are only available if corresponding publishers allow open access. Take down policy Contact [email protected] if you believe that this document breaches copyright and provide us with details. We will remove access to the work immediately and investigate your claim. Download date: 25/02/2022
Transcript of Chaos-fractals theories and applications Yu, Hai; Elwakil ...
Chaos-fractals theories and applications
Yu, Hai; Elwakil, Ahmed; Ryashko, Lev; Wang, Yuncai; Chen, Guanrong
Published in:Mathematical Problems in Engineering
Published: 01/01/2014
Document Version:Final Published version, also known as Publisher’s PDF, Publisher’s Final version or Version of Record
License:CC BY
Publication record in CityU Scholars:Go to record
Published version (DOI):10.1155/2014/567281
Publication details:Yu, H., Elwakil, A., Ryashko, L., Wang, Y., & Chen, G. (2014). Chaos-fractals theories and applications.Mathematical Problems in Engineering, 2014, [567281]. https://doi.org/10.1155/2014/567281
Citing this paperPlease note that where the full-text provided on CityU Scholars is the Post-print version (also known as Accepted AuthorManuscript, Peer-reviewed or Author Final version), it may differ from the Final Published version. When citing, ensure thatyou check and use the publisher's definitive version for pagination and other details.
General rightsCopyright for the publications made accessible via the CityU Scholars portal is retained by the author(s) and/or othercopyright owners and it is a condition of accessing these publications that users recognise and abide by the legalrequirements associated with these rights. Users may not further distribute the material or use it for any profit-making activityor commercial gain.Publisher permissionPermission for previously published items are in accordance with publisher's copyright policies sourced from the SHERPARoMEO database. Links to full text versions (either Published or Post-print) are only available if corresponding publishersallow open access.
Take down policyContact [email protected] if you believe that this document breaches copyright and provide us with details. We willremove access to the work immediately and investigate your claim.
Download date: 25/02/2022
EditorialChaos-Fractals Theories and Applications
Hai Yu,1 Ahmed Elwakil,2 Lev Ryashko,3 Yuncai Wang,4 and Guanrong (Ron) Chen5
1 Software College, Northeastern University, Shenyang 110819, China2Department of Electrical and Computer Engineering, University of Sharjah, Sharjah 27272, United Arab Emirates3 Institute of Mathematics and Computer Sciences, Ural Federal University, Lenina 51, Ekaterinburg, Russia4College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China5 Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong
Correspondence should be addressed to Hai Yu; [email protected]
Received 26 February 2014; Accepted 26 February 2014; Published 2 April 2014
Copyright © 2014 Hai Yu et al. This is an open access article distributed under the Creative Commons Attribution License, whichpermits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Chaos-fractals theories and applications play an importantrole in nonlinear science research. The subject has beenwidely investigated with significant progress and achieve-ments especially in recent years. In addition, it has beenapplied to many scientific disciplines, such as meteorology,physics, engineering, economics, biology, and even philos-ophy. This special issue on Chaos-Fractals Theories andApplications publishes 19 papers, most of which are carefullyreviewed by experts and peers in the field.
Some research on chaos theory is addressed by 5 papers.For example, T. Lu et al. study the retentivity of chaos undertopological conjugation, proving that chaotic properties areall preserved under such a condition. However, an exampleis given to show that Li-Yorke chaos is not preserved undertopological conjugation if the domain is extended to a generalmetric space. J. Luo suggests a state-feedback control methodfor fractional-order nonlinear systems subject to input satu-ration. It is shown that linear state-feedback controller can beused to control the fractional-order nonlinear systems.
There are 6 papers focusing on fractals research. Forinstance, M. Romera et al. introduce a method to drawcomplete external rays based on the escape lines and Beziercurves. It solves the limitation in drawing an external raybecause it reaches a point fromwhich the drawing tool cannotcontinue to work. J. Lu et al. develop a fractal color imagewatermarkingmethod. S. Zhu et al. explore an efficient fractalvideo codec for compressing multiviews. They make full useof the characteristic of fractal video coding and the nature ofvideo particularly.
In addition, there are 8 papers which address chaos-fractals applications. Just to introduce a few, T. Zhao et al.report their recent works on free space ranging with chaoticlight. Using a laser diode with optical feedback as a chaoticsource, a prototype of chaotic lidar was developed, whichcan achieve a range-independent resolution of 18 cm andmeasurable distance of 130m in distance. Y. Wu et al. reporttheir investigation on the time delay signature in chaoticsemiconductors, subject to delayed filtered optical feedback,of which a Fabry-Perot interferometer type of filter is placedin the external cavity. Especially, a new memristor basedchaotic circuit is presented by Y. Li et al. It is generated byreplacing the nonlinear resistor in Chua’s circuit with a flux-controlled memristor and a negative conductor. The dynam-ical behaviors are verified by both computer simulations andlaboratory experiments.
By filing these papers together in a special issue, we wishto provide better views for our readers and researchers aboutthe important areas of chaos-fractals research, regarding boththeory and applications.
Hai YuAhmed Elwakil
Lev RyashkoYuncai Wang
Guanrong (Ron) Chen
Hindawi Publishing CorporationMathematical Problems in EngineeringVolume 2014, Article ID 567281, 1 pagehttp://dx.doi.org/10.1155/2014/567281
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