On Inverse Full State Hybrid Function Projective Synchronization For Continuous-time Chaotic Dynamical Systems with Arbitrary Dimensions
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Azar, A.T., Vaidyanathan, S.: Chaos Modeling and Control Systems Design, Studies in Computational Intelligence, vol. 581. Studies in Computational Intelligence. Springer, Berlin (2015a)
Azar, A.T., Vaidyanathan, S.: Computational Intelligence Applications in Modelling and Control, vol. 575. Studies in Computational Intelligence. Springer, Berlin (2015b)
Azar, A.T., Vaidyanathan, S.: Handboook of Research on Advanced Intelligent Control Engineering and Automation. IGI Global, New York (2015c)
Azar, A.T., Vaidyanathan, S.: Advances in Chaos Theory and Intelligent Control, vol. 337. Springer, Berlin (2016)
Azar, A.T., Zhu, Q.: Advances and Applications in Sliding Mode Control systems, vol. 576. Studies in Computational Intelligence. Springer, Berlin (2015)
Azar, A.T., Vaidyanathan, S., Ouannas, A.: Fractional Order Control and Synchronization of Chaotic Systems, vol. 688. Studies in Computational Intelligence. Springer, Berlin (2017)
Bao, H., Park, J.H., Cao, J.: Synchronization of fractional-order delayed neural networks with hybrid coupling. Complexity 21, 106–112 (2016)
Boulkroune, A., Bouzeriba, A., Bouden, T., Azar, A.T.: Fuzzy adaptive synchronization of uncertain fractional-order chaotic systems. Advances in Chaos Theory and Intelligent Control, pp. 681–697. Springer, Berlin (2016a)
Boulkroune, A., Hamel, S., Azar, AT., Vaidyanathan, S.: Fuzzy Control-Based Function Synchronization of Unknown Chaotic Systems with Dead-Zone Input, pp 699–718. Springer, Cham (2016b). doi: 10.1007/978-3-319-30340-6_29
Cai, G., Yao, L., Hu, P., Fang, X.: Adaptive full state hybrid function projective synchronization of financial hyperchaotic systems with uncertain parameters. Discret. Contin. Dyn. Syst. Ser. B 18(8):2019–2028 (2013). doi: 10.3934/dcdsb.2013.18.2019 . http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=8778
Carroll, T.L., Pecora, L.M.: Synchronizing chaotic circuits. IEEE Trans. Circuits Syst. 38(4), 453–456 (1991). doi: 10.1109/31.75404
Chong-Xin, L., Ling, L.: Circuit implementation of a new hyperchaos in fractional-order system. Chin. Phys. B 17(8):2829 (2008). http://stacks.iop.org/1674-1056/17/i=8/a=014
Chua, L., Komuro, M., Matsumoto, T.: The double scroll family. IEEE Trans. Circuits and Syst. 33(11), 1072–1118 (1986). doi: 10.1109/TCS.1986.1085869
Grassi, G.: Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal. Chin Phys B 21(6):060–504 (2012). http://stacks.iop.org/1674-1056/21/i=6/a=060504
Grassi, G.: Continuous-time chaotic systems: Arbitrary full-state hybrid projective synchronization via a scalar signal. Chin Phys B 22(8):080–505 (2013). http://stacks.iop.org/1674-1056/22/i=8/a=080505
Hu, M., Xu, Z., Zhang, R., Hu, A.: Adaptive full state hybrid projective synchronization of chaotic systems with the same and different order. Phys Lett A 365(4):315–327 (2007a). doi: 10.1016/j.physleta.2007.01.038 . http://www.sciencedirect.com/science/article/pii/S037596010700117X
Hu, M., Xu, Z., Zhang, R., Hu, A.: Parameters identification and adaptive full state hybrid projective synchronization of chaotic (hyper-chaotic) systems. Phys Lett A 361(3), 231–237 (2007b)
Hu, M., Xu, Z., Zhang, R.: Full state hybrid projective synchronization in continuous-time chaotic (hyperchaotic) systems. Communications in Nonlinear Science and Numerical Simulation 13(2):456–464 (2008a). doi: 10.1016/j.cnsns.2006.05.003 . http://www.sciencedirect.com/science/article/pii/S1007570406000931
Hu, M., Xu, Z., Zhang, R.: Full state hybrid projective synchronization of a general class of chaotic maps. Commun Nonlinear Sci Numer Simul 13(4):782–789 (2008b). doi: 10.1016/j.cnsns.2006.07.012 . http://www.sciencedirect.com/science/article/pii/S1007570406001560
Ouannas, A., Al-sawalha, MM.: Synchronization between different dimensional chaotic systems using two scaling matrices. Optik - Int J Light Electron Optics 127(2):959–963 (2016). doi: 10.1016/j.ijleo.2015.10.174 . http://www.sciencedirect.com/science/article/pii/S0030402615015429
Ouannas, A., Grassi, G.: Inverse full state hybrid projective synchronization for chaotic maps with different dimensions. Chin Phys B 25(9):090–503 (2016). http://stacks.iop.org/1674-1056/25/i=9/a=090503
Ouannas, A., Al-sawalha, M.M., Ziar, T.: Fractional chaos synchronization schemes for different dimensional systems with non-identical fractional-orders via two scaling matrices. Optik 127(20), 8410–8418 (2016a)
Ouannas, A., Azar, AT., Abu-Saris, R.: A new type of hybrid synchronization between arbitrary hyperchaotic maps. Int. J. Mach. Learn. Cybern. 1–8 (2016b). doi: 10.1007/s13042-016-0566-3
Ouannas, A., Azar, AT., Vaidyanathan, S.: A robust method for new fractional hybrid chaos synchronization. Math. Methods Appl. Sci. (2016c). doi: 10.1002/mma.4099
Ouannas, A., Azar, A.T., Vaidyanathan, S.: New hybrid synchronization schemes based on coexistence of various types of synchronization between master-slave hyperchaotic systems. Int. J. Comput. Appl. Technol. 55(2), 112–120 (2017a)
Ouannas, A., Azar, A.T., Vaidyanathan, S.: On a simple approach for q-s synchronization of chaotic dynamical systems in continuous-time. Int. J. Comput. Sci. Math. 8(1), 20–27 (2017b)
Ueta, T., Chen, G.: Bifurcation analysis of chen’s attractor. Int. J. Bifurc. Chaos 10(08), 1917–1931 (2000)
Vaidyanathan, S., Azar, A.T.: Analysis and control of a 4-d novel hyperchaotic system. In: Azar, A.T., Vaidyanathan, S. (eds.) Chaos Modeling and Control Systems Design, Studies in Computational Intelligence, vol. 581, pp. 19–38. Springer, Berlin (2015a)
Vaidyanathan, S., Azar, A.T.: Analysis, control and synchronization of a nine-term 3-d novel chaotic system. In: Azar, A.T., Vaidyanathan, S. (eds.) Chaos Modeling and Control Systems Design, Studies in Computational Intelligence, vol. 581, pp. 3–17. Springer, Berlin (2015b)
Vaidyanathan, S., Azar, A.T.: Anti-synchronization of identical chaotic systems using sliding mode control and an application to vaidyanathan-madhavan chaotic systems. In: Azar, A.T., Zhu, Q. (eds.) Advances and Applications in Sliding Mode Control Systems, Studies in Computational Intelligence, vol. 576, pp. 527–547. Springer, Berlin (2015c)
Vaidyanathan, S., Azar, A.T.: Hybrid synchronization of identical chaotic systems using sliding mode control and an application to vaidyanathan chaotic systems. In: Azar, A.T., Zhu, Q. (eds.) Advances and Applications in Sliding Mode Control Systems, Studies in Computational Intelligence, vol. 576, pp. 549–569. Springer, Berlin (2015d)
Vaidyanathan, S., Azar, A.T.: A novel 4-D four-wing chaotic system with four quadratic nonlinearities and its synchronization via adaptive control method. Advances in Chaos Theory and Intelligent Control, pp. 203–224. Springer, Berlin (2016a)
Vaidyanathan, S., Azar, A.T.: Adaptive backstepping control and synchronization of a novel 3-D jerk system with an exponential nonlinearity. Advances in Chaos Theory and Intelligent Control, pp. 249–274. Springer, Berlin (2016b)
Vaidyanathan, S., Azar, A.T.: Adaptive control and synchronization of Halvorsen circulant chaotic systems. Advances in Chaos Theory and Intelligent Control, pp. 225–247. Springer, Berlin (2016c)
Vaidyanathan, S., Azar, A.T.: Dynamic analysis, adaptive feedback control and synchronization of an eight-term 3-D novel chaotic system with three quadratic nonlinearities. Advances in Chaos Theory and Intelligent Control, pp. 155–178. Springer, Berlin (2016d)
Vaidyanathan, S., Azar, A.T.: Generalized projective synchronization of a novel hyperchaotic four-wing system via adaptive control method. Advances in Chaos Theory and Intelligent Control, pp. 275–290. Springer, Berlin (2016e)
Vaidyanathan, S., Azar, A.T.: Takagi–Sugeno fuzzy logic controller for Liu-Chen four-scroll chaotic system. Int. J. Intell. Eng. Inform. 4(2), 135–150 (2016f)
Vaidyanathan, S., Azar, A.T., Rajagopal, K., Alexander, P.: Design and SPICE implementation of a 12-term novel hyperchaotic system and its synchronization via active control. Int. J. Model. Identif. Control 23(3), 267–277 (2015a)
Vaidyanathan, S., Idowu, B.A., Azar, A.T.: Backstepping controller design for the global chaos synchronization of sprott’s jerk systems. In: Azar, A.T., Vaidyanathan, S. (eds.) Chaos Modeling and Control Systems Design, Studies in Computational Intelligence, vol. 581, pp. 39–58. Springer, Berlin (2015b)
Vaidyanathan, S., Sampath, S., Azar, A.T.: Global chaos synchronisation of identical chaotic systems via novel sliding mode control method and its application to Zhu system. Int. J. Model. Identif. Control 23(1), 92–100 (2015c)
Wang, Z., Volos, C., Kingni, ST., Azar, AT., Pham, VT.: Four-wing attractors in a novel chaotic system with hyperbolic sine nonlinearity. Optik - Int. J. Light Electron Optics 131:1071–1078 (2017). doi: 10.1016/j.ijleo.2016.12.016 . http://www.sciencedirect.com/science/article/pii/S0030402616315662
Xiao-hui, Z., Ke, S.: The control action of the periodic perturbation on a hyperchaotic system. Acta Physica Sinica (Overseas Edition) 8(9):651. http://stacks.iop.org/1004-423X/8/i=9/a=003 (1999)
Zhang, Q., an Lu, J.: Full state hybrid lag projective synchronization in chaotic (hyperchaotic) systems. Phys Lett A 372(9):1416– 421 (2008). doi: 10.1016/j.physleta.2007.09.051 . http://www.sciencedirect.com/science/article/pii/S037596010701376X