How to cite this paper
Benkouider, K., Moghrabi, I., Sambas, A., Kaçar, S., Uzun, S., Hassan, B., Sulaiman, I., Vaidyanathan, S., Mohamed, M & Saputra, J. (2024). A novel four-wing chaotic system with multiple equilibriums: Dynamical analysis, multistability, circuit simulation and pseudo random number generator (PRNG) based on the voice encryption.International Journal of Data and Network Science, 8(2), 989-1000.
Refrences
Akmeşe, Ö. F. (2023). A Novel Random Number Generator and Its Application in Sound Encryption Based on a Fraction-al-Order Chaotic System. Journal of Circuits, Systems and Computers, 32(03), 2350127.
Alemami, Y., Mohamed, M. A., Atiewi, S., & Mamat, M. (2020). Speech encryption by multiple chaotic maps with fast fourier transform. International Journal of Electrical and Computer Engineering (IJECE), 10(6), 5658-5664.
Al-Hazaimeh, O. M. (2020). A new dynamic speech encryption algorithm based on Lorenz chaotic map over internet pro-tocol. International Journal of Electrical and Computer Engineering (IJECE), 10(5), 4824-4834.
Al-Hazaimeh, O. M., Abu-Ein, A. A., Nahar, K. M., & Al-Qasrawi, I. S. (2022). Chaotic elliptic map for speech encryp-tion. Indonesian Journal of Electrical Engineering and Computer Science, 25(2), 1103-1114.
Aricioğlu, B., & Kaçar, S. (2022). Circuit Implementation and PRNG Applications of Time Delayed Lorenz System. Cha-os Theory and Applications, 4(1), 4-9.
Benkouider, K., Bouden, T., Sambas, A., Mohamed, M. A., Sulaiman, I. M., Mamat, M., & Ibrahim, M. A. H. (2021). Dy-namics, control and secure transmission electronic circuit implementation of a new 3D chaotic system in comparison with 50 reported systems. IEEE Access, 9, 152150-152168.
Cai, G., & Tan, Z. (2007). Chaos synchronization of a new chaotic system via nonlinear control. Journal of Uncertain sys-tems, 1(3), 235-240.
Chen, Z., Yang, Y., & Yuan, Z. (2008). A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system. Chaos, Solitons & Fractals, 38(4), 1187-1196.
Cui, L., Lu, M., Ou, Q., Duan, H., & Luo, W. (2020). Analysis and circuit implementation of fractional order multi-wing hidden attractors. Chaos, Solitons & Fractals, 138, 109894.
Deng, Q., Wang, C., & Yang, L. (2020). Four-wing hidden attractors with one stable equilibrium point. International Journal of Bifurcation and Chaos, 30(06), 2050086.
Elsadany, A. A., Hussein, S., Al-khedhairi, A., & Elsonbaty, A. (2023). On dynamics of 4-D blinking chaotic system and voice encryption application. Alexandria Engineering Journal, 70, 701-718.
Faradja, P., & Qi, G. (2020). Analysis of multistability, hidden chaos and transient chaos in brushless DC motor. Chaos, Solitons & Fractals, 132, 109606.
Farsana, F. J., & Gopakumar, K. (2016). A novel approach for speech encryption: Zaslavsky map as pseudo random num-ber generator. Procedia computer science, 93, 816-823.
Gao, S., Wu, R., Wang, X., Wang, J., Li, Q., Wang, C., & Tang, X. (2023). A 3D model encryption scheme based on a cas-caded chaotic system. Signal Processing, 202, 108745.
García-Sepúlveda, O., Posadas-Castillo, C., Cortés-Preciado, A. D., Platas-Garza, M. A., Garza-González, E., & Sánchez, A. G. (2020). Synchronization of fractional-order Lü chaotic oscillators for voice encryption. Revista mexicana de físi-ca, 66(3), 364-371.
Hassan, N. F., Al-Adhami, A., & Mahdi, M. S. (2022). Digital Speech Files Encryption based on Hénon and Gingerbread Chaotic Maps. Iraqi Journal of Science, 830-842.
Ilyas, B., Raouf, S. M., Abdelkader, S., Camel, T., Said, S., & Lei, H. (2022). An efficient and reliable chaos-based iot se-curity core for udp/ip wireless communication. IEEE Access, 10, 49625-49656.
Kaçar, S. (2022a). A new data-hiding algorithm for multi-channel biomedical signals based on variable-order fractional chaotic neural networks with frequency effect. The European Physical Journal Special Topics, 231(5), 929-943.
Kaçar, S. (2022b). Digital circuit implementation and PRNG-based data security application of variable-order fractional Hopfield neural network under electromagnetic radiation using Grünwald-Letnikov method. The European Physical Journal Special Topics, 231(10), 1969-1981.
Li, R. D. Y. (2014). Application of compound chaotic mapping in voice encryption algorithm. International Journal of Computer Science and Network Security (IJCSNS), 14(8), 44.
Liu, C., Liu, T., Liu, L., & Liu, K. (2004). A new chaotic attractor. Chaos, Solitons & Fractals, 22(5), 1031-1038.
Lü, J., Chen, G., Cheng, D., & Celikovsky, S. (2002). Bridge the gap between the Lorenz system and the Chen system. In-ternational Journal of Bifurcation and Chaos, 12(12), 2917-2926.
Mobayen, S., Volos, C., Çavuşoğlu, Ü., & S. Kaçar, S. (2020). A simple chaotic flow with hyperbolic sinusoidal function and its application to voice encryption. Symmetry, 12(12), 2047.
Munmuangsaen, B., & Srisuchinwong, B. (2009). A new five-term simple chaotic attractor. Physics Letters A, 373(44), 4038-4043.
Rahman, Z. A. S., & Jasim, B. H. (2022). Hidden Dynamics Investigation, Fast Adaptive Synchronization, and Chaos-Based Secure Communication Scheme of a New 3D Fractional-Order Chaotic System. Inventions, 7(4), 108.
Rajagopal, K., Kacar, S., Wei, Z., Duraisamy, P., Kifle, T., & Karthikeyan, A. (2019). Dynamical investigation and chaotic associated behaviors of memristor Chua’s circuit with a non-ideal voltage-controlled memristor and its application to voice encryption. AEU-International Journal of Electronics and Communications, 107, 183-191.
Sadkhan, S. B., & Mohammed, R. S. (2015). Proposed random unified chaotic map as PRBG for voice encryption in wire-less communication. Procedia computer science, 65, 314-323.
Sambas, A., Vaidyanathan, S., Zhang, S., Zeng, Y., Mohamed, M. A., & Mamat, M. (2019). A new double-wing chaotic system with coexisting attractors and line equilibrium: bifurcation analysis and electronic circuit simulation. IEEE Ac-cess, 7, 115454-115462.
Sambas, A., Vaidyanathan, S., Zhang, X., Koyuncu, I., Bonny, T., Tuna, M., ... & Kumam, P. (2022). A novel 3D chaotic system with line equilibrium: multistability, integral sliding mode control, electronic circuit, FPGA implementation and its image encryption. IEEE Access, 10, 68057-68074.
Vaidyanathan, S. (2016). Analysis, adaptive control and synchronization of a novel 4-D hyperchaotic hyperjerk system via backstepping control method. Archives of Control Sciences, 26(3), 311-338.
Zhang, S., Zeng, Y., & Li, Z. (2018). One to four-wing chaotic attractors coined from a novel 3D fractional-order chaotic system with complex dynamics. Chinese Journal of Physics, 56(3), 793-806.
Zhao, Y., Meng, R., Zhang, Y., & Yang, Q. (2023). Image encryption algorithm based on a new chaotic system with Ru-bik's cube transform and Brownian motion model. Optik, 273, 170342.
Zhou, L., Wang, C., & Zhou, L. (2017). Generating four-wing hyperchaotic attractor and two-wing, three-wing, and four-wing chaotic attractors in 4D memristive system. International Journal of Bifurcation and Chaos, 27(02), 1750027.
Alemami, Y., Mohamed, M. A., Atiewi, S., & Mamat, M. (2020). Speech encryption by multiple chaotic maps with fast fourier transform. International Journal of Electrical and Computer Engineering (IJECE), 10(6), 5658-5664.
Al-Hazaimeh, O. M. (2020). A new dynamic speech encryption algorithm based on Lorenz chaotic map over internet pro-tocol. International Journal of Electrical and Computer Engineering (IJECE), 10(5), 4824-4834.
Al-Hazaimeh, O. M., Abu-Ein, A. A., Nahar, K. M., & Al-Qasrawi, I. S. (2022). Chaotic elliptic map for speech encryp-tion. Indonesian Journal of Electrical Engineering and Computer Science, 25(2), 1103-1114.
Aricioğlu, B., & Kaçar, S. (2022). Circuit Implementation and PRNG Applications of Time Delayed Lorenz System. Cha-os Theory and Applications, 4(1), 4-9.
Benkouider, K., Bouden, T., Sambas, A., Mohamed, M. A., Sulaiman, I. M., Mamat, M., & Ibrahim, M. A. H. (2021). Dy-namics, control and secure transmission electronic circuit implementation of a new 3D chaotic system in comparison with 50 reported systems. IEEE Access, 9, 152150-152168.
Cai, G., & Tan, Z. (2007). Chaos synchronization of a new chaotic system via nonlinear control. Journal of Uncertain sys-tems, 1(3), 235-240.
Chen, Z., Yang, Y., & Yuan, Z. (2008). A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system. Chaos, Solitons & Fractals, 38(4), 1187-1196.
Cui, L., Lu, M., Ou, Q., Duan, H., & Luo, W. (2020). Analysis and circuit implementation of fractional order multi-wing hidden attractors. Chaos, Solitons & Fractals, 138, 109894.
Deng, Q., Wang, C., & Yang, L. (2020). Four-wing hidden attractors with one stable equilibrium point. International Journal of Bifurcation and Chaos, 30(06), 2050086.
Elsadany, A. A., Hussein, S., Al-khedhairi, A., & Elsonbaty, A. (2023). On dynamics of 4-D blinking chaotic system and voice encryption application. Alexandria Engineering Journal, 70, 701-718.
Faradja, P., & Qi, G. (2020). Analysis of multistability, hidden chaos and transient chaos in brushless DC motor. Chaos, Solitons & Fractals, 132, 109606.
Farsana, F. J., & Gopakumar, K. (2016). A novel approach for speech encryption: Zaslavsky map as pseudo random num-ber generator. Procedia computer science, 93, 816-823.
Gao, S., Wu, R., Wang, X., Wang, J., Li, Q., Wang, C., & Tang, X. (2023). A 3D model encryption scheme based on a cas-caded chaotic system. Signal Processing, 202, 108745.
García-Sepúlveda, O., Posadas-Castillo, C., Cortés-Preciado, A. D., Platas-Garza, M. A., Garza-González, E., & Sánchez, A. G. (2020). Synchronization of fractional-order Lü chaotic oscillators for voice encryption. Revista mexicana de físi-ca, 66(3), 364-371.
Hassan, N. F., Al-Adhami, A., & Mahdi, M. S. (2022). Digital Speech Files Encryption based on Hénon and Gingerbread Chaotic Maps. Iraqi Journal of Science, 830-842.
Ilyas, B., Raouf, S. M., Abdelkader, S., Camel, T., Said, S., & Lei, H. (2022). An efficient and reliable chaos-based iot se-curity core for udp/ip wireless communication. IEEE Access, 10, 49625-49656.
Kaçar, S. (2022a). A new data-hiding algorithm for multi-channel biomedical signals based on variable-order fractional chaotic neural networks with frequency effect. The European Physical Journal Special Topics, 231(5), 929-943.
Kaçar, S. (2022b). Digital circuit implementation and PRNG-based data security application of variable-order fractional Hopfield neural network under electromagnetic radiation using Grünwald-Letnikov method. The European Physical Journal Special Topics, 231(10), 1969-1981.
Li, R. D. Y. (2014). Application of compound chaotic mapping in voice encryption algorithm. International Journal of Computer Science and Network Security (IJCSNS), 14(8), 44.
Liu, C., Liu, T., Liu, L., & Liu, K. (2004). A new chaotic attractor. Chaos, Solitons & Fractals, 22(5), 1031-1038.
Lü, J., Chen, G., Cheng, D., & Celikovsky, S. (2002). Bridge the gap between the Lorenz system and the Chen system. In-ternational Journal of Bifurcation and Chaos, 12(12), 2917-2926.
Mobayen, S., Volos, C., Çavuşoğlu, Ü., & S. Kaçar, S. (2020). A simple chaotic flow with hyperbolic sinusoidal function and its application to voice encryption. Symmetry, 12(12), 2047.
Munmuangsaen, B., & Srisuchinwong, B. (2009). A new five-term simple chaotic attractor. Physics Letters A, 373(44), 4038-4043.
Rahman, Z. A. S., & Jasim, B. H. (2022). Hidden Dynamics Investigation, Fast Adaptive Synchronization, and Chaos-Based Secure Communication Scheme of a New 3D Fractional-Order Chaotic System. Inventions, 7(4), 108.
Rajagopal, K., Kacar, S., Wei, Z., Duraisamy, P., Kifle, T., & Karthikeyan, A. (2019). Dynamical investigation and chaotic associated behaviors of memristor Chua’s circuit with a non-ideal voltage-controlled memristor and its application to voice encryption. AEU-International Journal of Electronics and Communications, 107, 183-191.
Sadkhan, S. B., & Mohammed, R. S. (2015). Proposed random unified chaotic map as PRBG for voice encryption in wire-less communication. Procedia computer science, 65, 314-323.
Sambas, A., Vaidyanathan, S., Zhang, S., Zeng, Y., Mohamed, M. A., & Mamat, M. (2019). A new double-wing chaotic system with coexisting attractors and line equilibrium: bifurcation analysis and electronic circuit simulation. IEEE Ac-cess, 7, 115454-115462.
Sambas, A., Vaidyanathan, S., Zhang, X., Koyuncu, I., Bonny, T., Tuna, M., ... & Kumam, P. (2022). A novel 3D chaotic system with line equilibrium: multistability, integral sliding mode control, electronic circuit, FPGA implementation and its image encryption. IEEE Access, 10, 68057-68074.
Vaidyanathan, S. (2016). Analysis, adaptive control and synchronization of a novel 4-D hyperchaotic hyperjerk system via backstepping control method. Archives of Control Sciences, 26(3), 311-338.
Zhang, S., Zeng, Y., & Li, Z. (2018). One to four-wing chaotic attractors coined from a novel 3D fractional-order chaotic system with complex dynamics. Chinese Journal of Physics, 56(3), 793-806.
Zhao, Y., Meng, R., Zhang, Y., & Yang, Q. (2023). Image encryption algorithm based on a new chaotic system with Ru-bik's cube transform and Brownian motion model. Optik, 273, 170342.
Zhou, L., Wang, C., & Zhou, L. (2017). Generating four-wing hyperchaotic attractor and two-wing, three-wing, and four-wing chaotic attractors in 4D memristive system. International Journal of Bifurcation and Chaos, 27(02), 1750027.