Hyperbolic Sine Function Control-Based Finite-Time Bipartite Synchronization of Fractional-Order Spatiotemporal Networks and Its Application in Image Encryption
This work is devoted to the hyperbolic sine function (HSF) control-based finite-time bipartite synchronization of fractional-order spatiotemporal networks and its application in image encryption. Initially, the addressed networks adequately take into account the nature of anisotropic diffusion, i.e....
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-01-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/1/36 |
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| author | Lvming Liu Haijun Jiang Cheng Hu Haizheng Yu Siyu Chen Yue Ren Shenglong Chen Tingting Shi |
| author_facet | Lvming Liu Haijun Jiang Cheng Hu Haizheng Yu Siyu Chen Yue Ren Shenglong Chen Tingting Shi |
| author_sort | Lvming Liu |
| collection | DOAJ |
| description | This work is devoted to the hyperbolic sine function (HSF) control-based finite-time bipartite synchronization of fractional-order spatiotemporal networks and its application in image encryption. Initially, the addressed networks adequately take into account the nature of anisotropic diffusion, i.e., the diffusion matrix can be not only non-diagonal but also non-square, without the conservative requirements in plenty of the existing literature. Next, an equation transformation and an inequality estimate for the anisotropic diffusion term are established, which are fundamental for analyzing the diffusion phenomenon in network dynamics. Subsequently, three control laws are devised to offer a detailed discussion for HSF control law’s outstanding performances, including the swifter convergence rate, the tighter bound of the settling time and the suppression of chattering. Following this, by a designed chaotic system with multi-scroll chaotic attractors tested with bifurcation diagrams, Poincaré map, and Turing pattern, several simulations are pvorided to attest the correctness of our developed findings. Finally, a formulated image encryption algorithm, which is evaluated through imperative security tests, reveals the effectiveness and superiority of the obtained results. |
| format | Article |
| id | doaj-art-512dc06d9a8944d086acfc3136052d3f |
| institution | Kabale University |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-512dc06d9a8944d086acfc3136052d3f2025-01-24T13:33:27ZengMDPI AGFractal and Fractional2504-31102025-01-01913610.3390/fractalfract9010036Hyperbolic Sine Function Control-Based Finite-Time Bipartite Synchronization of Fractional-Order Spatiotemporal Networks and Its Application in Image EncryptionLvming Liu0Haijun Jiang1Cheng Hu2Haizheng Yu3Siyu Chen4Yue Ren5Shenglong Chen6Tingting Shi7College of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaSchool of Automation, Chongqing University, Chongqing 400044, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaThis work is devoted to the hyperbolic sine function (HSF) control-based finite-time bipartite synchronization of fractional-order spatiotemporal networks and its application in image encryption. Initially, the addressed networks adequately take into account the nature of anisotropic diffusion, i.e., the diffusion matrix can be not only non-diagonal but also non-square, without the conservative requirements in plenty of the existing literature. Next, an equation transformation and an inequality estimate for the anisotropic diffusion term are established, which are fundamental for analyzing the diffusion phenomenon in network dynamics. Subsequently, three control laws are devised to offer a detailed discussion for HSF control law’s outstanding performances, including the swifter convergence rate, the tighter bound of the settling time and the suppression of chattering. Following this, by a designed chaotic system with multi-scroll chaotic attractors tested with bifurcation diagrams, Poincaré map, and Turing pattern, several simulations are pvorided to attest the correctness of our developed findings. Finally, a formulated image encryption algorithm, which is evaluated through imperative security tests, reveals the effectiveness and superiority of the obtained results.https://www.mdpi.com/2504-3110/9/1/36anisotropic diffusionfractional-order spatiotemporal networkfinite-time bipartite synchronizationhyperbolic sine functionimage encryption |
| spellingShingle | Lvming Liu Haijun Jiang Cheng Hu Haizheng Yu Siyu Chen Yue Ren Shenglong Chen Tingting Shi Hyperbolic Sine Function Control-Based Finite-Time Bipartite Synchronization of Fractional-Order Spatiotemporal Networks and Its Application in Image Encryption Fractal and Fractional anisotropic diffusion fractional-order spatiotemporal network finite-time bipartite synchronization hyperbolic sine function image encryption |
| title | Hyperbolic Sine Function Control-Based Finite-Time Bipartite Synchronization of Fractional-Order Spatiotemporal Networks and Its Application in Image Encryption |
| title_full | Hyperbolic Sine Function Control-Based Finite-Time Bipartite Synchronization of Fractional-Order Spatiotemporal Networks and Its Application in Image Encryption |
| title_fullStr | Hyperbolic Sine Function Control-Based Finite-Time Bipartite Synchronization of Fractional-Order Spatiotemporal Networks and Its Application in Image Encryption |
| title_full_unstemmed | Hyperbolic Sine Function Control-Based Finite-Time Bipartite Synchronization of Fractional-Order Spatiotemporal Networks and Its Application in Image Encryption |
| title_short | Hyperbolic Sine Function Control-Based Finite-Time Bipartite Synchronization of Fractional-Order Spatiotemporal Networks and Its Application in Image Encryption |
| title_sort | hyperbolic sine function control based finite time bipartite synchronization of fractional order spatiotemporal networks and its application in image encryption |
| topic | anisotropic diffusion fractional-order spatiotemporal network finite-time bipartite synchronization hyperbolic sine function image encryption |
| url | https://www.mdpi.com/2504-3110/9/1/36 |
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