A new hyperchaotic generator: circuit realization and analysis
Article Sidebar
Issue Vol. 16 No. 3 (2026)
-
Deep learning approach for automated skin cancer detection with comparative analysis of different batch sizes in dermatological image classification
Abini M.A.5-13
-
Modelling and management principles of combined granulated feed production through information-analytical systems
Mahil Mammadov, Tural Mammadli14-22
-
An intelligent IoT-based automatic control system for energy-efficient grain drying
Ainur Rustemova, Maria Yukhymchuk, Vladyslav Lesko, Marat Orynbet, Yurii Ivanov23-30
-
Design and experimental validation of an IoT-RPA-based smart refrigerator inventory system
Lyudmila Samchuk, Yuliia Povstiana, Nataliia Lishchyna, Mykyta Ponomarenko31-38
-
Intelligent soil monitoring system for sustainable agriculture using TinyML and ultra-low power wireless sensor networks
Muhammad Ovais Akhter39-48
-
Modelling the operation of a dynamic queue management system in supermarkets
Larysa Gumeniuk, Volodymyr Lotysh, Pavlo Humeniuk49-58
-
Experimental validation of error compensation techniques for fibre-optic gyroscopes in semi-natural conditions
Nurzhigit Smailov, Ainur Kuttybayeva, Yerlan Tashtay, Zhandos Dosbayev, Aruzhan Nazarova, Beibarys Sekenov, Aida Serbayeva, Akezhan Sabibolda59-63
-
Simulation of the operation of a four-channel ultrasonic flowmeter with identical signal trajectories in acoustic channels
Yosyp Bilynsky, Andrii Stetsenko64-68
-
Etching line with integrated electrochemical regeneration for copper recovery and sludge reduction
Anatoliy Nester, Vadim Romanuke, Tetiana Yakovyshyna69-76
-
Method for HCI users identification based on their "polyfactor portraits" of perception subjectivization of HCI object
Andrii Pukach, Vasyl Teslyuk, Artem Kazarian77-87
-
Enhancing diagnostic systems for analysing and controlling operating modes in electrical distribution networks
Igor Khomenko, Ruslan Lozhkin, Andrii Shkrebela, Oleksandr Miroshnyk, Anatolii Sereda, Taras Shchur, Mariana Bohach88-94
-
A modular monolith architecture for high-availability electric vehicle charging station management software
Volodymyr Horshkov, Nataliia Lishchyna, Andrii Yashchuk, Olena Surynovych, Valerii Lishchyna95-102
-
Investigation of a multilevel inverter based on IGBT transistors for power supply of a tethered UAV with telemetry-based monitoring of power parameters
Kyrmyzy Taissariyeva, Kuanysh Muslimov, Gulim Jobalayeva, Ingkar Issakozhayeva, Zhansaya Ayapbergen103-107
-
Dynamic obstacle avoidance for UAVs using fuzzy logic control and neural network
Anton Makohonov, Ivan Marynych108-113
-
Hybrid simulation and experimental framework for real-time fault detection in PV boost converters using fuzzy logic and LoRa connectivity
Oussama Sait, Mabrouk Khemliche, Samia Latreche, Sait Belkacem, Hamza Khemliche114-122
-
Benchmarking machine learning algorithms for high-fidelity power forecasting in utility-scale PV plants
Ahmed Saidi, Abdelghani Draoui, Touhami Abdelouahed123-128
-
Study of the dynamic variation in the security level of an information protection system
Olha Saliieva, Yurii Yaremchuk129-133
-
A new hyperchaotic generator: circuit realization and analysis
Volodymyr Rusyn, Petro Kindrachuk, Bogdan Markovych134-138
-
Strategies for ensuring functional stability of a complex sensor network based on the research of the dynamics of the behavior of evolutionary equations
Valentyn Sobchuk, Yurii Kravchenko, Mykhaylo Sharapov, Oleksandr Laptiev, Andrii Sobchuk139-143
-
Development of robust DVB-T2 OFDM transmission: BER assessment and channel impairment mitigation for reliable high-definition broadcasting
Olarewaju Peter Ayeoribe144-149
-
Real-time network anomaly detection in O-RAN using deep learning on streaming big data
Satya Sumanth Vanapalli, Rajesh Polepogu, Parish Venkata Kumar K, Vijayasankar Anumala, Vinodh Babu Panguluri, Lakshmi Narayana Jammula, Brahmaiah Madamanchi, Sravani Duvvu, Bhanusree Nanduri, Syam Sundar Musinala150-158
-
Technical predictive analysis of big data for Apache Spark-based resource planning
Bakhshali Bakhtiyarov, Aynur Jabiyeva, Ulkar Musavi159-166
-
Conversion of voxel models into polygonal meshes with ensuring structural integrity and editability
Semen Duvanov, Iryna Baranova167-172
-
Fuzzy Delphi method for identifying key parameters in the optimization of intelligent control systems for oil refining processes
Kamala Aliyeva173-179
-
Method of determining the grounds for relating data to official information and the degree of restriction access "For official use"
Yurii Dreis, Oleh Harasymchuk180-183
-
Model and tools for content generation and publication based on large language models
Artem Kazarian, Vasyl Teslyuk, Andrii Pukach184-190
-
Evaluation of the usability of web services with interactive maps
Lukasz Sendecki, Sergiusz Skalski, Mariusz Dzienkowski191-197
-
Fuzzy model for assessing digital security literacy across population groups with different social profiles
Volodymyr Polishchuk, Vasyl Sehlianyk, Inna Polishchuk, Andrii Shafar198-203
-
An intelligent module for productivity assessment of remote employees in working time monitoring systems
Aigul Moldakalykova, Maria Yukhymchuk, Gulzhan Kashaganova, Vladyslav Lesko, Yurii Ivanov, Natalia Sachaniuk-Kavets’ka204-209
-
Hybrid machine learning framework for forecasting and evaluating university rankings
Nurzhigit Smailov, Nursultan Kuldeyev, Akezhan Sabibolda, Raigul Ustemirova210-216
Archives
-
Vol. 16 No. 3
2026-09-30 30
-
Vol. 16 No. 2
2026-06-30 27
-
Vol. 16 No. 1
2026-03-30 27
-
Vol. 15 No. 4
2025-12-20 27
-
Vol. 15 No. 3
2025-09-30 24
-
Vol. 15 No. 2
2025-06-27 24
-
Vol. 15 No. 1
2025-03-31 26
-
Vol. 14 No. 4
2024-12-21 25
-
Vol. 14 No. 3
2024-09-30 24
-
Vol. 14 No. 2
2024-06-30 24
-
Vol. 14 No. 1
2024-03-31 23
-
Vol. 13 No. 4
2023-12-20 24
-
Vol. 13 No. 3
2023-09-30 25
-
Vol. 13 No. 2
2023-06-30 14
-
Vol. 13 No. 1
2023-03-31 12
-
Vol. 12 No. 4
2022-12-30 16
-
Vol. 12 No. 3
2022-09-30 15
-
Vol. 12 No. 2
2022-06-30 16
-
Vol. 12 No. 1
2022-03-31 9
Main Article Content
Authors
Abstract
This paper proposes a new circuit of the generator with hyperchaotic behavior. All component values are presented. NIs MultiSim was used for analysis of the main properties of hyperchaotic theory such as attractors for different projections, time series and spectral characteristics for four hyperchaotic signals. This hyperchaotic generator can be used in modern telecommunication systems for information security.
Keywords:
References
[1] Adeyemi, V.-A., Nuñez-Perez, J.-C., Sandoval Ibarra, Y., Perez-Pinal, F.-J., & Tlelo-Cuautle, E. (2021). FPGA Realization of the Parameter-Switching Method in the Chen Oscillator and Application in Image Transmission. Symmetry, 13(6), 923. https://doi.org/10.3390/sym13060923 DOI: https://doi.org/10.3390/sym13060923
[2] Balcerzak, M., & Leo Kingston, S. (2025). Lyapunov exponents estimation via automatic differentiation: A modern approach inspired by machine learning. Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(7), 073130. https://doi.org/10.1063/5.0268320 DOI: https://doi.org/10.1063/5.0268320
[3] Benkouider, K., Bouden, T., Sambas, A., Lekouaghet, B., Mohamed, M. A., Ibrahim Mohammed, S., Mamat, M., Ibrahim, M. A. H., & Ahmad, M. Z. (2022). A new 10-D hyperchaotic system with coexisting attractors and high fractal dimension: Its dynamical analysis, synchronization and circuit design. PLOS ONE, 17(4), e0266053. https://doi.org/10.1371/journal.pone.0266053 DOI: https://doi.org/10.1371/journal.pone.0266053
[4] Bonatto, C. (2018). Hyperchaotic Dynamics for Light Polarization in a Laser Diode. Physical Review Letters, 120(16), 163902. https://doi.org/10.1103/PhysRevLett.120.163902 DOI: https://doi.org/10.1103/PhysRevLett.120.163902
[5] Bouslehi, H., & Seddik, H. (2018a). A new rapid hyperchaotic system for more efficient 2D data encryption. Multimedia Tools and Applications, 77(6), 7741–7762. https://doi.org/10.1007/s11042-017-4675-0 DOI: https://doi.org/10.1007/s11042-017-4675-0
[6] Bouslehi, H., & Seddik, H. (2018b). Innovative image encryption scheme based on a new rapid hyperchaotic system and random iterative permutation. Multimedia Tools and Applications, 77(23), 30841–30863. https://doi.org/10.1007/s11042-018-5997-2 DOI: https://doi.org/10.1007/s11042-018-5997-2
[7] Cao, L. (2018). A Four-Dimensional Hyperchaotic Finance System and Its Control Problems. Journal of Control Science and Engineering, 2018, 1–12. https://doi.org/10.1155/2018/4976380 DOI: https://doi.org/10.1155/2018/4976380
[8] Chen, Y. (2018). Dynamics of a Lorenz‐type multistable hyperchaotic system. Mathematical Methods in the Applied Sciences, 41(16), 6480–6491. https://doi.org/10.1002/mma.5171 DOI: https://doi.org/10.1002/mma.5171
[9] Chua, L. O. (1994). Chua’s circuit: An overview ten years later. Journal of Circuits, Systems and Computers, 04(02), 117–159. https://doi.org/10.1142/S0218126694000090 DOI: https://doi.org/10.1142/S0218126694000090
[10] Cui, N., & Li, J. (2023). A new 4D hyperchaotic system and its control. AIMS Mathematics, 8(1), 905–923. https://doi.org/10.3934/math.2023044 DOI: https://doi.org/10.3934/math.2023044
[11] Fathi Hafshejani, S., Gaur, D., Dasgupta, A., Benkoczi, R., Gosala, N. R., & Iorio, A. (2024). A Hybrid Quantum Solver for the Lorenz System. Entropy, 26(12), 1009. https://doi.org/10.3390/e26121009 DOI: https://doi.org/10.3390/e26121009
[12] Fu, Q., Xu, X., & Xiao, C. (2022). LQR Chaos Synchronization for a Novel Memristor-Based Hyperchaotic Oscillator. Mathematics, 11(1), 11. https://doi.org/10.3390/math11010011 DOI: https://doi.org/10.3390/math11010011
[13] Galatolo, S. (2003). Complexity, initial condition sensitivity, dimension and weak chaos in dynamical systems. Nonlinearity, 16(4), 1219–1238. https://doi.org/10.1088/0951-7715/16/4/302 DOI: https://doi.org/10.1088/0951-7715/16/4/302
[14] Guo, Q., Wang, N., & Zhang, G. (2022). A novel four-element RCLM hyperchaotic circuit based on current-controlled extended memristor. AEU - International Journal of Electronics and Communications, 156, 154391. https://doi.org/10.1016/j.aeue.2022.154391 DOI: https://doi.org/10.1016/j.aeue.2022.154391
[15] Hossam Eldein Mohamed, F. A., & El-Shafai, W. (2024). Cancelable biometric authentication system based on hyperchaotic technique and fibonacci Q-Matrix. Multimedia Tools and Applications, 83(23), 63755–63793. https://doi.org/10.1007/s11042-023-17855-9 DOI: https://doi.org/10.1007/s11042-023-17855-9
[16] Kaouache, S. (2021). Projective Synchronization of The Modified Fractional-Order Hyperchaotic R"{o}ssler System and Its Application in Secure Communication. Universal Journal of Mathematics and Applications, 4(2), 50–58. https://doi.org/10.32323/ujma.739649 DOI: https://doi.org/10.32323/ujma.739649
[17] Kennedy, M. P. (1992). Robust OP Amp Realization of Chua’s Circuit. Frequenz, 46(3–4). https://doi.org/10.1515/FREQ.1992.46.3-4.66 DOI: https://doi.org/10.1515/FREQ.1992.46.3-4.66
[18] Khan, A., Singh, S., & Azar, A. T. (2020). Synchronization between a Novel Integer-Order Hyperchaotic System and a Fractional-Order Hyperchaotic System Using Tracking Control. In A. E. Hassanien, A. T. Azar, T. Gaber, R. Bhatnagar, & M. F. Tolba (Eds), The International Conference on Advanced Machine Learning Technologies and Applications (AMLTA2019) (Vol. 921, pp. 382–391). Springer International Publishing. https://doi.org/10.1007/978-3-030-14118-9_38 DOI: https://doi.org/10.1007/978-3-030-14118-9_38
[19] Kotyrba, M. (2015). Influence of changes in initial conditions for the simulation of dynamic systems. 550003. https://doi.org/10.1063/1.4912758 DOI: https://doi.org/10.1063/1.4912758
[20] Liu, Z., Wu, C., Wang, J., & Hu, Y. (2019). A Color Image Encryption Using Dynamic DNA and 4-D Memristive Hyper-Chaos. IEEE Access, 7, 78367–78378. https://doi.org/10.1109/ACCESS.2019.2922376 DOI: https://doi.org/10.1109/ACCESS.2019.2922376
[21] Lorenz, E. N. (1963). Deterministic Nonperiodic Flow. Journal of the Atmospheric Sciences, 20(2), 130–141. http://journals.ametsoc.org/doi/10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 DOI: https://doi.org/10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
[22] Mamat, A. R., Mohamed, M. A., Abidin, A. F. A., Mohamed, R. R., Sambas, A., Rusyn, V., Lisnichuk, A. Ye., & Markovych, B. M. (2024). Color image encryption using chaotic-based cryptosystem. Mathematical Modeling and Computing, 11(3), 883–892. https://doi.org/10.23939/mmc2024.03.883 DOI: https://doi.org/10.23939/mmc2024.03.883
[23] Rajagopal, K., Arun, S., Karthikeyan, A., Duraisamy, P., & Srinivasan, A. (2018). A hyperchaotic memristor system with exponential and discontinuous memductance function. AEU - International Journal of Electronics and Communications, 95, 249–255. https://doi.org/10.1016/j.aeue.2018.08.017 DOI: https://doi.org/10.1016/j.aeue.2018.08.017
[24] Rajagopal, K., Karthikeyan, A., & Duraisamy, P. (2018). Difference equations of a memristor higher order hyperchaotic oscillator. African Journal of Science, Technology, Innovation and Development, 10(3), 279–285. https://doi.org/10.1080/20421338.2018.1453240 DOI: https://doi.org/10.1080/20421338.2018.1453240
[25] Rajagopal, K., Vaidyanathan, S., Karthikeyan, A., & Srinivasan, A. (2018). Complex novel 4D memristor hyperchaotic system and its synchronization using adaptive sliding mode control. Alexandria Engineering Journal, 57(2), 683–694. https://doi.org/10.1016/j.aej.2017.01.044 DOI: https://doi.org/10.1016/j.aej.2017.01.044
[26] Rossler, O. E. (1979). An equation for hyperchaos. Physics Letters A, 71(2–3), 155–157. https://doi.org/10.1016/0375-9601(79)90150-6 DOI: https://doi.org/10.1016/0375-9601(79)90150-6
[27] Rusyn, V., Samila, A., Markovych, B., Sambas, A., Skiadas, C., & Guzan, M. (2025). Pulse chaotic generator based a classical Chua’s circuit. Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 15(1), 10–14. https://doi.org/10.35784/iapgos.6703 DOI: https://doi.org/10.35784/iapgos.6703
[28] Rusyn, V., Subbotin, S., Vorobets, G., & Vorobets, O. (2024). Computer Modelling, Analysis of the Main Information Properties of Memristor and Its Application in Secure Communication System. CEUR Workshop Proceedings, Vol-3702: Proceedings of The Seventh International Workshop on Computer Modeling and Intelligent Systems (CMIS-2024), 216–225. https://doi.org/10.55056/ceur-ws.org/Vol-3702/paper18.pdf DOI: https://doi.org/10.55056/ceur-ws.org/Vol-3702/paper18.pdf
[29] Singh, P. K., Jha, B., & Kumar, S. (2024). An efficient and lightweight image encryption technique using Lorenz chaotic system. Mathematical Modeling and Computing, 11(3), 702–709. https://doi.org/10.23939/mmc2024.03.702 DOI: https://doi.org/10.23939/mmc2024.03.702
[30] Sokil, B. I., Senyk, A. P., Sokil, M. B., & Lisnichuk, A. Ye. (2023). Method of normal oscillations and substantiation of the choice of parameters for certain nonlinear systems with two degrees of freedom. Mathematical Modeling and Computing, 10(3), 927–934. https://doi.org/10.23939/mmc2023.03.927 DOI: https://doi.org/10.23939/mmc2023.03.927
[31] Tian, H., Yi, X., Zhang, Y., Wang, Z., Xi, X., & Liu, J. (2025). Dynamical Analysis, Feedback Control Circuit Implementation, and Fixed-Time Sliding Mode Synchronization of a Novel 4D Chaotic System. Symmetry, 17(8), 1252. https://doi.org/10.3390/sym17081252 DOI: https://doi.org/10.3390/sym17081252
[32] Vaidyanathan, S., Lien, C.-H., Fuadi, W., Mujiarto, Mamat, M., & Subiyanto. (2020). A New 4-D Multi-Stable Hyperchaotic Two-Scroll System with No-Equilibrium and its Hyperchaos Synchronization. Journal of Physics: Conference Series, 1477(2), 022018. https://doi.org/10.1088/1742-6596/1477/2/022018 DOI: https://doi.org/10.1088/1742-6596/1477/2/022018
[33] Wang, J., Yu, W., Wang, J., Zhao, Y., Zhang, J., & Jiang, D. (2019). A new six‐dimensional hyperchaotic system and its secure communication circuit implementation. International Journal of Circuit Theory and Applications, 47(5), 702–717. https://doi.org/10.1002/cta.2617 DOI: https://doi.org/10.1002/cta.2617
[34] Wang, X., Feng, Y., & Chen, Y. (2022). A New Four-Dimensional Chaotic System and its Circuit Implementation. Frontiers in Physics, 10, 906138. https://doi.org/10.3389/fphy.2022.906138 DOI: https://doi.org/10.3389/fphy.2022.906138
[35] Wolf, A., Swift, J. B., Swinney, H. L., & Vastano, J. A. (1985). Determining Lyapunov exponents from a time series. Physica D: Nonlinear Phenomena, 16(3), 285–317. https://doi.org/10.1016/0167-2789(85)90011-9 DOI: https://doi.org/10.1016/0167-2789(85)90011-9
[36] Wu, Y., Zeng, J., Dong, W., Li, X., Qin, D., & Ding, Q. (2022). A Novel Color Image Encryption Scheme Based on Hyperchaos and Hopfield Chaotic Neural Network. Entropy, 24(10), 1474. https://doi.org/10.3390/e24101474 DOI: https://doi.org/10.3390/e24101474
Article Details
Abstract views: 8
Downloads: 6

