Gaussian-Function-Driven Chaotic Memristive Dynamics with Application to Image Encryption.
Saved in:
| Title: | Gaussian-Function-Driven Chaotic Memristive Dynamics with Application to Image Encryption. |
|---|---|
| Authors: | Guo, Qiya1 (AUTHOR) qiyaguo27@163.com, Chen, Jiale1 (AUTHOR) jialechen117@163.com, Zhang, Yanbin1 (AUTHOR) zhyb@hdu.edu.cn, Sun, Weigang1 (AUTHOR) wgsun@hdu.edu.cn |
| Source: | International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Jun2026, Vol. 36 Issue 7, p1-20. 20p. |
| Subjects: | Gaussian function, Image encryption, DNA, Memristors, Attractors (Mathematics), Hysteresis loop |
| Abstract: | This paper develops a Gaussian-function-driven chaotic memristive system in which the magnetic flux is characterized by a Gaussian function, distinguishing it from prevailing formulations that employ piecewise, polynomial, or weakly smooth nonlinearities. The proposed system exhibits the key fingerprints of memristive behavior, including pinched hysteresis loops, local activity and nonvolatility. Integrating the Gaussian function into Chua's circuit produces a multiscroll chaotic Gaussian memristive system, where the attractors emerge in an organized and predictable pattern, with their numbers and spatial distribution determined by the Gaussian kernel parameters. To demonstrate the applicability of the proposed chaotic system, an image encryption scheme exploits the chaotic sequences generated by this system and integrates adaptive Zigzag scrambling, DNA encoding and bit-plane cross-diffusion. Experimental results show that the scheme achieves uniform histograms, negligible pixel correlation, strong key sensitivity and high resistance to noise and differential attacks. The incorporation of Gaussian function enriches the framework of chaotic memristive systems and establishes a flexible and robust foundation for secure image encryption. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Bifurcation & Chaos in Applied Sciences & Engineering is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 193166741 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Gaussian-Function-Driven Chaotic Memristive Dynamics with Application to Image Encryption. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Guo%2C+Qiya%22">Guo, Qiya</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> qiyaguo27@163.com</i><br /><searchLink fieldCode="AR" term="%22Chen%2C+Jiale%22">Chen, Jiale</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jialechen117@163.com</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Yanbin%22">Zhang, Yanbin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zhyb@hdu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Sun%2C+Weigang%22">Sun, Weigang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> wgsun@hdu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Bifurcation+%26+Chaos+in+Applied+Sciences+%26+Engineering%22">International Journal of Bifurcation & Chaos in Applied Sciences & Engineering</searchLink>. Jun2026, Vol. 36 Issue 7, p1-20. 20p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Gaussian+function%22">Gaussian function</searchLink><br /><searchLink fieldCode="DE" term="%22Image+encryption%22">Image encryption</searchLink><br /><searchLink fieldCode="DE" term="%22DNA%22">DNA</searchLink><br /><searchLink fieldCode="DE" term="%22Memristors%22">Memristors</searchLink><br /><searchLink fieldCode="DE" term="%22Attractors+%28Mathematics%29%22">Attractors (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Hysteresis+loop%22">Hysteresis loop</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper develops a Gaussian-function-driven chaotic memristive system in which the magnetic flux is characterized by a Gaussian function, distinguishing it from prevailing formulations that employ piecewise, polynomial, or weakly smooth nonlinearities. The proposed system exhibits the key fingerprints of memristive behavior, including pinched hysteresis loops, local activity and nonvolatility. Integrating the Gaussian function into Chua's circuit produces a multiscroll chaotic Gaussian memristive system, where the attractors emerge in an organized and predictable pattern, with their numbers and spatial distribution determined by the Gaussian kernel parameters. To demonstrate the applicability of the proposed chaotic system, an image encryption scheme exploits the chaotic sequences generated by this system and integrates adaptive Zigzag scrambling, DNA encoding and bit-plane cross-diffusion. Experimental results show that the scheme achieves uniform histograms, negligible pixel correlation, strong key sensitivity and high resistance to noise and differential attacks. The incorporation of Gaussian function enriches the framework of chaotic memristive systems and establishes a flexible and robust foundation for secure image encryption. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Bifurcation & Chaos in Applied Sciences & Engineering is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193166741 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0218127426500914 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 1 Subjects: – SubjectFull: Gaussian function Type: general – SubjectFull: Image encryption Type: general – SubjectFull: DNA Type: general – SubjectFull: Memristors Type: general – SubjectFull: Attractors (Mathematics) Type: general – SubjectFull: Hysteresis loop Type: general Titles: – TitleFull: Gaussian-Function-Driven Chaotic Memristive Dynamics with Application to Image Encryption. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Guo, Qiya – PersonEntity: Name: NameFull: Chen, Jiale – PersonEntity: Name: NameFull: Zhang, Yanbin – PersonEntity: Name: NameFull: Sun, Weigang IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02181274 Numbering: – Type: volume Value: 36 – Type: issue Value: 7 Titles: – TitleFull: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering Type: main |
| ResultId | 1 |
