Finite-time control of the discrete Sel’kov–Schnakenberg model: Synchronization and simulations
This study investigates the finite-time synchronization (FT-sync) of the Selkov–Schnakenberg reaction–diffusion system, utilizing Lyapunov functions and discrete finite-difference methods. Theoretical conditions are derived to achieve synchronization within a finite duration, a concept referred to a...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2025-02-01
|
| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0257304 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850235197513007104 |
|---|---|
| author | Hussein Al-Taani Ma’mon Abu Hammad Omar Alomari Issam Bendib Adel Ouannas |
| author_facet | Hussein Al-Taani Ma’mon Abu Hammad Omar Alomari Issam Bendib Adel Ouannas |
| author_sort | Hussein Al-Taani |
| collection | DOAJ |
| description | This study investigates the finite-time synchronization (FT-sync) of the Selkov–Schnakenberg reaction–diffusion system, utilizing Lyapunov functions and discrete finite-difference methods. Theoretical conditions are derived to achieve synchronization within a finite duration, a concept referred to as (FT-sync), which ensures rapid alignment of system states as opposed to classical asymptotic synchronization. The analysis is supported by numerical simulations that demonstrate the effectiveness of the proposed control strategies in enforcing synchronization under variable initial conditions and system configurations. In addition, the study investigates the impact of system parameters on spatiotemporal dynamics and synchronization patterns. These results hold significant value for practical applications requiring synchronization, such as in chemical reactors and biological systems, while also enriching the theoretical understanding of finite-time dynamics in reaction–diffusion systems. |
| format | Article |
| id | doaj-art-a8acb33f0d594397933e7270a0bbf3b0 |
| institution | OA Journals |
| issn | 2158-3226 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj-art-a8acb33f0d594397933e7270a0bbf3b02025-08-20T02:02:20ZengAIP Publishing LLCAIP Advances2158-32262025-02-01152025325025325-910.1063/5.0257304Finite-time control of the discrete Sel’kov–Schnakenberg model: Synchronization and simulationsHussein Al-Taani0Ma’mon Abu Hammad1Omar Alomari2Issam Bendib3Adel Ouannas4School of Electrical Engineering and Information Technology, German Jordanian University, Amman 11180, JordanDepartment of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, JordanSchool of Electrical Engineering and Information Technology, German Jordanian University, Amman 11180, JordanApplied Mathematics and Modeling Laboratory, Department of Mathematics, Faculty of Exact Sciences, University of Brothers Mentouri, Constantine 25000, AlgeriaDepartment of Mathematics and Computer Science, University of Oum EL-Bouaghi, Oum El Bouaghi 04000, AlgeriaThis study investigates the finite-time synchronization (FT-sync) of the Selkov–Schnakenberg reaction–diffusion system, utilizing Lyapunov functions and discrete finite-difference methods. Theoretical conditions are derived to achieve synchronization within a finite duration, a concept referred to as (FT-sync), which ensures rapid alignment of system states as opposed to classical asymptotic synchronization. The analysis is supported by numerical simulations that demonstrate the effectiveness of the proposed control strategies in enforcing synchronization under variable initial conditions and system configurations. In addition, the study investigates the impact of system parameters on spatiotemporal dynamics and synchronization patterns. These results hold significant value for practical applications requiring synchronization, such as in chemical reactors and biological systems, while also enriching the theoretical understanding of finite-time dynamics in reaction–diffusion systems.http://dx.doi.org/10.1063/5.0257304 |
| spellingShingle | Hussein Al-Taani Ma’mon Abu Hammad Omar Alomari Issam Bendib Adel Ouannas Finite-time control of the discrete Sel’kov–Schnakenberg model: Synchronization and simulations AIP Advances |
| title | Finite-time control of the discrete Sel’kov–Schnakenberg model: Synchronization and simulations |
| title_full | Finite-time control of the discrete Sel’kov–Schnakenberg model: Synchronization and simulations |
| title_fullStr | Finite-time control of the discrete Sel’kov–Schnakenberg model: Synchronization and simulations |
| title_full_unstemmed | Finite-time control of the discrete Sel’kov–Schnakenberg model: Synchronization and simulations |
| title_short | Finite-time control of the discrete Sel’kov–Schnakenberg model: Synchronization and simulations |
| title_sort | finite time control of the discrete sel kov schnakenberg model synchronization and simulations |
| url | http://dx.doi.org/10.1063/5.0257304 |
| work_keys_str_mv | AT husseinaltaani finitetimecontrolofthediscreteselkovschnakenbergmodelsynchronizationandsimulations AT mamonabuhammad finitetimecontrolofthediscreteselkovschnakenbergmodelsynchronizationandsimulations AT omaralomari finitetimecontrolofthediscreteselkovschnakenbergmodelsynchronizationandsimulations AT issambendib finitetimecontrolofthediscreteselkovschnakenbergmodelsynchronizationandsimulations AT adelouannas finitetimecontrolofthediscreteselkovschnakenbergmodelsynchronizationandsimulations |