Optimizing parameters for 4D hyperchaotic system using Walrus Optimizer Algorithm

Karam Adel Abed; Omar Saber Qasim; Saad Fawzi Al-Azzawi

doi:10.35784/iapgos.7280

PDF

Published: Jun 30, 2026

DOI: https://doi.org/10.35784/iapgos.7280

Issue Vol. 16 No. 2 (2026)

Performance evaluation of optimized deep learning model with Multilayered Max-Norm Regularization (MMNR) technique for brain tumour classification in MRI multi-modal images
Mulackal Chandran Binish, Vinu Thomas

5-14
Stroke detection from brain CT-images and its volume visualization
Rithu James, Appukuttan Harsha, Liza Annie Joseph

15-21
Adaptive filtering for noise reduction in photoplethysmography signals
Hicham Loumissi, Adil Barra, Najat Messaoudi, Othmane El Badlaoui, Bahloul Bensassi, Hicham Medromi

22-25
Evaluation of informational diagnostic criteria and severity biomarkers using a discrimination model in patients with COVID-19
Gryhoriy Gradil, Oleg Avrunin, Kateryna Yurko, Natalia Shushlyapina, Yuliia Kalashnyk-Vakulenko, Mariia Shostatska, Aigul Iskakova

26-31
Signal amplifiers in optical communication systems
Nurzhigit Smailov, Nurlybek Turar, Akezhan Sabibolda

32-36
Analysis of underwater communication systems based on hybrid Li-Fi technology
Nurzhigit Smailov, Aizhan Urazgaliyeva, Akezhan Sabibolda

37-43
Applying Box-Behnken design to research voice control automatic lighting systems
Oleksandr Burban, Mykola Polishchuk, Anatolii Tkachuk, Serhii Kostiuchko, Liliia Polishchuk, Valentyna Tkachuk

44-49
Paddy fields detection on Sentinel-2 satellite images using EfficientDet model
Suvarna Vani Koneru, Kamal Epuri, Bhuvanesh Kakumanu, Ram Dinesh Aduri

50-55
Models for assessing accuracy and reliability of fibre-optic gyroscope-based navigation systems
Maral Abulkhanova, Nurzhigit Smailov, Yerlan Tashtay, Gulbakhar Yussupova, Anar Khabay, Beibarys Sekenov, Akezhan Sabibolda

56-60
Aggregation of multimodal log and metric streams for neuro-fuzzy anomaly detection in computer systems
Andrii Mishchenko, Oleksii Shushura, Alona Kolomiiets, Andrii Donets, Olena Kosaruk

61-67
Static forensic analysis of file carving on SSDs uses NIST and ACPO method
Khoirul Anam Dahlan, Anton Yudhana, Herman Yuliansyah

68-75
Fuzzy logic-based security risk assessment in wireless sensor networks of Industrial IoT
Olena Semenova, Natalia Kryvinska, Olha Voitsekhovska, Andrii Dzhus, Volodymyr Martyniuk

76-83
Multicriteria optimisation of information protection system configuration based on the NSGA-II algorithm
Valeryi Lakhno, Myroslav Lakhno, Alona Desiatko, Bohdan Bebeshko

84-90
Method of structural-block coding of tuple transformant video images
Volodymyr Barannik, Dmytro Uzlov, Yevhenii Yelisieiev, Valeriy Barannik, Nina Petrukha, Mykhailo Babenko, Dmitry Barannik, Vladyslav Kostromytskyi, Oleh Kompaniiets, Artem Bychenko

91-101
Analysis of the increase in model forecasting accuracy after data normalization
Vladyslav Pylypenko, Vladyslava Skidan, Antonina Volivach

102-106
Optimizing parameters for 4D hyperchaotic system using Walrus Optimizer Algorithm
Karam Adel Abed, Omar Saber Qasim, Saad Fawzi Al-Azzawi

107-112
Iron coagulation optimization during water treatment using artificial intelligence tools
Andrii Safonyk, Ivan Tarhonii, Oleksandr Naumchuk, Vladyslav Danchenkov, Roman Zaichuk

113-117
Optimisation of the generating capacity of droop-based DGs integrated into an isolated AC microgrid using metaheuristic algorithms to minimise power losses
Tuan-Ho Le, Tham X. Nguyen, Robert Lis, Muhammad Jamshed Abbass

118-125
Chemical composition, structural and electrical properties of CdZnTeSe thick polycrystalline films
Yaroslav Znamenshchykov, Oleksii Lisovenko, Mykola Khvyshchun, Anatoliy Opanasyuk

126-130
Substantiation of a new method for separation of bulk materials on a vibro-friction separator
Mykola Bakum, Serhii Kharchenko, Anatolii Mykhailov, Mykola Krekot, Taras Shchur, Oleg Dzhidzhora

131-138
Software-based performance evaluation and forecasting of web applications using machine learning models
Liubov Oleshchenko

139-144
Comparative analysis of Java unit and integration testing tools: JUnit, TestNG and Spock
Dawid Grabek, Jan Gryta, Mariusz Dzieńkowski

145-151
Application of UML in the development process of computer games
Lyudmila Samchuk, Yuliia Povstiana, Yaroslav Tymoshchuk

152-155
Design of digital cooking assistant system with modern voice generative AI model
Robert Banasiak, Zdzisława Rowińska, Wojciech Szczucki, Dawid Jantosz, Łukasz Rembowski

156-161
Deep learning architectures for multiclass clothing recognition as the semantic core of automated virtual try-on systems
Roman Chekhmestruk, Olena Voitsekhovska, Svitlana Kyrylashchuk

162-172
Knowledge model "Tags about batches and containers" of the ERP system "PlasmIS" with the possibility of self-improvement using local llm models
Oleh Bisikalo, Valerii Starzhynskyi, Tetiana Molodetska, Nelia Burlaka

173-178
Paradigms of information technology impact on economic education
Artem Yurchenko, Inna Kharchenko, Volodymyr Shamonia, Vladyslav Bespalyi, Serhii Bohoslavskyi, Olena Semenikhina

179-186

Authors

Karam Adel Abed

karamadel@uomosul.edu.iq

University of Mosul, Iraq

https://orcid.org/0000-0003-0833-4614

Omar Saber Qasim

omar.saber@uomosul.edu.iq

University of Mosul, Iraq

https://orcid.org/0000-0003-3301-6271

Saad Fawzi Al-Azzawi

saad_alazawi@uomosul.edu.iq

University of Mosul, Iraq

https://orcid.org/0000-0002-8198-8035

Abstract

The walrus optimization Algorithm’s (WaOA) crucial significance in improving and creating a hyperchaotic system is the main topic of this study. We have enlarged the six-term, three-dimensional chaotic Liu system to a four-dimensional system with seven terms. In order to create hyperchaotic behaviour with great efficiency, the WaOA algorithm is utilized to optimize the system parameters in order to maximize the biggest Lyapunov exponent. The system’s dynamic features, such as the study of equilibrium points, the Jacobian matrix, Lyapunov exponent, coexistence, and the Lyapunov dimension (Kaplan-Yorke), have all been fully examined. Simulations of the suggested system utilizing NI Multisim (version 14.2) for electrical circuit simulation have shown the algorithm’s efficacy. The work demonstrates the WaOA algorithm’s noteworthy contribution to enhancing hyperchaotic systems performance and broadening their useful applications in a variety of domains.

Keywords:

metaheuristic, walrus optimizer algorithm, hyperchaotic system, circuit implementation

References

[1] Abed, K. A. (2024). A better approximation to Sawada-Kotera via differential transform method with hybrid grey Wolf and Cuckoo algorithm. Journal of Interdisciplinary Mathematics, 27(6), 1231–1241. https://doi.org/10.47974/JIM-1513

[2] Abed, K. A., Al-Azzawi, S. F., & Saber Qasim, O. (2025). Electronic circuit and image encryption using a novel simple 4D hyperchaotic system. Physica Scripta, 100(1), 015210. https://doi.org/10.1088/1402-4896/ad941d

[3] AL-Azzawi, S. F., Mujiarto, Patria, L., Sambas, A., & Sanjaya, W. S. M. (2020). Stability of Lorenz System at the Second Equilibria Point based on Gardano’s Method. Journal of Physics: Conference Series, 1477(2), 022009. https://doi.org/10.1088/1742-6596/1477/2/022009

[4] Al-Kateeb, Z. N., & Jader, M. (2024). Multi level of encryption and steganography depending on Rabinovich Hyperchaotic System & DNA. Multimedia Tools and Applications, 84(3), 1211–1237. https://doi.org/10.1007/s11042-024-19057-3

[5] Alqahtani, A. H., Hasanien, H. M., Alharbi, M., & Chuanyu, S. (2024). Parameters Estimation of Proton Exchange Membrane Fuel Cell Model Based on an Improved Walrus Optimization Algorithm. IEEE Access, 12, 74979–74992. https://doi.org/10.1109/ACCESS.2024.3404641

[6] Bouteraa, Y., Mostafaee, J., Kchaou, M., Abbassi, R., Jerbi, H., & Mobayen, S. (2022). A New Simple Chaotic System with One Nonlinear Term. Mathematics, 10(22), 4374. https://doi.org/10.3390/math10224374

[7] Chen, S., Yu, S., Lu, J., Chen, G., & He, J. (2018). Design and FPGA-Based Realization of a Chaotic Secure Video Communication System. IEEE Transactions on Circuits and Systems for Video Technology, 28(9), 2359–2371. https://doi.org/10.1109/TCSVT.2017.2703946

[8] Dong, C., & Wang, J. (2022). Hidden and Coexisting Attractors in a Novel 4D Hyperchaotic System with No Equilibrium Point. Fractal and Fractional, 6(6), 306. https://doi.org/10.3390/fractalfract6060306

[9] Houssein, E. H., Samee, N. A., Alabdulhafith, M., & Said, M. (2024). Extraction of PEM fuel cell parameters using Walrus Optimizer. AIMS Mathematics, 9(5), 12726–12750. https://doi.org/10.3934/math.2024622

[10] Kumar S., S. P., & Kumar C., A. (2024). Computer Aided Diagnosis of Brain Tumour Using Walrus Optimization Algorithm. Journal of Electrical Systems, 20(3), 9720–9735. https://doi.org/10.52783/jes.9005

[11] Kusuma, P. D., & Prasasti, A. L. (2023). Migrating Walrus Algorithm: A New Metaheuristic that Hybridizes Migration Algorithm and Walrus Optimization Algorithm. International Journal of Intelligent Engineering and Systems, 16(6), 673–683. https://doi.org/10.22266/ijies2023.1231.56

[12] Liu, Y., Pang, S., & Chen, D. (2013). An unusual chaotic system and its control. Mathematical and Computer Modelling, 57(9–10), 2473–2493. https://doi.org/10.1016/j.mcm.2012.12.006

[13] Lorenz, E. N. (2017). Deterministic Nonperiodic Flow. In Universality in Chaos (2nd edition, pp. 367–378). Routledge.

[14] Mohammed, N. M., & Al-Kateeb, Z. N. (2022). A New Secure Encryption Algorithm Based on RC4 Cipher and 4D Hyperchaotic Sprott-S System. 2022 Fifth College of Science International Conference of Recent Trends in Information Technology (CSCTIT), 131–136. https://doi.org/10.1109/CSCTIT56299.2022.10145711

[15] Nestor, T., Belazi, A., Abd-El-Atty, B., Aslam, M. N., Volos, C., De Dieu, N. J., & Abd El-Latif, A. A. (2022). A New 4D Hyperchaotic System with Dynamics Analysis, Synchronization, and Application to Image Encryption. Symmetry, 14(2), 424. https://doi.org/10.3390/sym14020424

[16] Ozpolat, E., Celik, V., & Gulten, A. (2024). A Novel Four-Dimensional Hyperchaotic System: Design, Dynamic Analysis, Synchronization, and Image Encryption. IEEE Access, 12, 126063–126073. https://doi.org/10.1109/ACCESS.2024.3454820

[17] Park, J. H. (2005). Chaos synchronization of a chaotic system via nonlinear control. Chaos, Solitons & Fractals, 25(3), 579–584. https://doi.org/10.1016/j.chaos.2004.11.038

[18] Petrzela, J., Kaller, O., & Vavra, J. (2024). The Reinartz Oscillator: Analysis Beyond Regular Behavior of the Circuit. IEEE Access, 12, 77891–77902. https://doi.org/10.1109/ACCESS.2024.3407654

[19] Prakash, P., Rajagopal, K., Koyuncu, I., Singh, J. P., Alcin, M., Roy, B. K., & Tuna, M. (2020). A Novel Simple 4-D Hyperchaotic System with a Saddle-Point Index-2 Equilibrium Point and Multistability: Design and FPGA-Based Applications. Circuits, Systems, and Signal Processing, 39(9), 4259–4280. https://doi.org/10.1007/s00034-020-01367-0

[20] Qasim, O. S., Abed, K. A., & Qasim, A. F. (2020). Optimal Parameters for Nonlinear Hirota-Satsuma Coupled KdV System by Using Hybrid Firefly Algorithm with Modified Adomian Decomposition. Journal of Mathematical and Fundamental Sciences, 52(3), 339–352. https://doi.org/10.5614/j.math.fund.sci.2020.52.3.7

[21] Rössler, O. E. (1976). An equation for continuous chaos. Physics Letters A, 57(5), 397–398. https://doi.org/10.1016/0375-9601(76)90101-8

[22] Shaheen, M. A. M., Hasanien, H. M., Mekhamer, S. F., & Talaat, H. E. A. (2024). Walrus optimizer-based optimal fractional order PID control for performance enhancement of offshore wind farms. Scientific Reports, 14(1), 17636. https://doi.org/10.1038/s41598-024-67581-x

[23] Trojovský, P., & Dehghani, M. (2022). Walrus Optimization Algorithm: A New Bio-Inspired Metaheuristic Algorithm. In Review. https://doi.org/10.21203/rs.3.rs-2174098/v1

[24] Trojovský, P., & Dehghani, M. (2023). A new bio-inspired metaheuristic algorithm for solving optimization problems based on walruses behavior. Scientific Reports, 13(1), 8775. https://doi.org/10.1038/s41598-023-35863-5

[25] Tsafack, N., Kengne, J., Abd-El-Atty, B., Iliyasu, A. M., Hirota, K., & Abd EL-Latif, A. A. (2020). Design and implementation of a simple dynamical 4-D chaotic circuit with applications in image encryption. Information Sciences, 515, 191–217. https://doi.org/10.1016/j.ins.2019.10.070

[26] Vo Hoang, D., Takougang Kingni, S., & Pham, V.-T. (2017). A No‐Equilibrium Hyperchaotic System and Its Fractional‐Order Form. Mathematical Problems in Engineering, 2017(1), 3927184. https://doi.org/10.1155/2017/3927184

[27] Vujošević, S., Ćalasan, M., & Micev, M. (2024). Hybrid walrus optimization algorithm techniques for optimized parameter estimation in single, double, and triple diode solar cell models. AIP Advances, 14(8), 085116. https://doi.org/10.1063/5.0223492

[28] Wang, F., Cao, H., & Zhai, D. (2021). A New 4 D Piecewise Linear Multiscroll Chaotic System with Multistability and Its FPGA‐Based Implementation. Complexity, 2021(1), 5529282. https://doi.org/10.1155/2021/5529282

[29] Wang, J., Zhou, B., & Zhou, S. (2016). An Improved Cuckoo Search Optimization Algorithm for the Problem of Chaotic Systems Parameter Estimation. Computational Intelligence and Neuroscience, 2016, 1–8. https://doi.org/10.1155/2016/2959370

[30] Wang, N., Zhang, G., & Bao, H. (2020). A Simple Autonomous Chaotic Circuit With Dead-Zone Nonlinearity. IEEE Transactions on Circuits and Systems II: Express Briefs, 67(12), 3502–3506. https://doi.org/10.1109/TCSII.2020.3005726

[31] Yan, M., Liu, X., Jie, J., & Hong, Y. (2024). Construction and implementation of wide range parameter switchable chaotic system. Scientific Reports, 14(1), 4059. https://doi.org/10.1038/s41598-024-54458-2

Abed, K. A., Qasim, O. S., & Al-Azzawi, S. F. (2026). Optimizing parameters for 4D hyperchaotic system using Walrus Optimizer Algorithm. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 16(2), 107–112. https://doi.org/10.35784/iapgos.7280

Optimizing parameters for 4D hyperchaotic system using Walrus Optimizer Algorithm

Issue Vol. 16 No. 2 (2026)

Archives

Authors

Abstract

Keywords:

References

License

Article Sidebar

Issue Vol. 16 No. 2 (2026)

Archives

Main Article Content

Authors

Abstract

Keywords:

References

Article Details

License