دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,430
تعداد مقالات17,609
تعداد مشاهده مقاله57,258,815
تعداد دریافت فایل اصل مقاله19,077,145
Trikha, Pushali, Jahanzaib, Lone, Khan, Taqseer. (1400). Synchronization between integer and fractional chaotic systems Via tracking control and non linear control with application. سامانه مدیریت نشریات علمی, 10(1), 109-120. doi: 10.22034/cmde.2020.40144.1750
Pushali Trikha; Lone Seth Jahanzaib; Taqseer Khan. "Synchronization between integer and fractional chaotic systems Via tracking control and non linear control with application". سامانه مدیریت نشریات علمی, 10, 1, 1400, 109-120. doi: 10.22034/cmde.2020.40144.1750
Trikha, Pushali, Jahanzaib, Lone, Khan, Taqseer. (1400). 'Synchronization between integer and fractional chaotic systems Via tracking control and non linear control with application', سامانه مدیریت نشریات علمی, 10(1), pp. 109-120. doi: 10.22034/cmde.2020.40144.1750
Trikha, Pushali, Jahanzaib, Lone, Khan, Taqseer. Synchronization between integer and fractional chaotic systems Via tracking control and non linear control with application. سامانه مدیریت نشریات علمی, 1400; 10(1): 109-120. doi: 10.22034/cmde.2020.40144.1750

Synchronization between integer and fractional chaotic systems Via tracking control and non linear control with application

Computational Methods for Differential Equations
مقاله 8، دوره 10، شماره 1، فروردین 2022، صفحه 109-120    اصل مقاله (1.19 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.40144.1750
نویسندگان
Pushali Trikha؛ Lone Seth Jahanzaib* ؛ Taqseer Khan
Department of Mathematics, Jamia Millia Islamia, New Delhi, India.
چکیده
In this paper, the synchronization between complex fractional-order chaotic systems and the integer-order hyperchaotic system has been investigated. Due to increased complexity and the presence of additional variables, it seems to be very interesting and can be associated with real-life problems. Based on the idea of tracking control and nonlinear control, we have designed the controllers to obtain the synchronization between the chaotic systems. To establish the efficacy of the methods computations have been carried out. Excellent agreement between the analytical and computational studies has been observed. The achieved synchronization is illustrated in the field of secure communication. The results have been compared with published literature.
کلیدواژه‌ها
. Chaos synchronization؛ Nonlinear control؛ Tracking control؛ Secure communication
مراجع
  • [1]          A. Babakhani and Q. Al-Mdallal,On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions, Computational Methods for Differential Equations, University of Tabriz, 9(1) (2020), 36-51.
  • [2]          P. L. Butzer and U. Westphal, An introduction to fractional calculus. In: Applications of Fractional Calculus in Physics, World Scientific (2000), 1-85.
  • [3]          T. Chen, Secure telecommunications data transmission, Google Patents, US Patent 6,058,187 (2000).
  • [4]          D. W. Faucher, D. N. Heer, M. M Kaplan, and D. P. Maher, Secure telecommunications,  Google Patents,  US  Patent 5,455,861 (1995).
  • [5]          N. Goswami and B. Shanmukha, A Mathematical Analysis of Zika Virus Transmission with Optimal Control Strategies, Computational Methods for Differential Equations, University of Tabriz, 9(1) (2020), 117-145.
  • [6]          R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific (2000).
  • [7]          G. Hu, Generating hyperchaotic attractors with three positive lyapunov exponents via state feedback control, Inter- national Journal of Bifurcation and Chaos , 19(02) (2009), 651-660.
  • [8]          O. I. Khalaf , G. M. Abdulsahib, H. D. Kasmaei, and K. A. Ogudo, A new algorithm on application of blockchain technology in live stream video transmissions and telecommunications, IGI Global, 16(1) (2020), 16-32.
  • [9]          A. Khan, L.S. Jahanzaib, and P. Trikha, Secure Communication: Using Parallel Synchronization Technique On Novel Fractional Order Chaotic System, IFAC-PapersOnLine , Elsevier, 53(1) (2020), 307-312.
  • [10]        A. Khan, L. S. Jahanzaib, T. Khan, and P. Trikha, Secure communication: Using fractional matrix projective combination synchronization, AIP Conference Proceedings, AIP, 2253(1) (2020), 020009.
  • [11]        A. Khan, L. S. Jahanzaib, P. Trikha, and T. Khan,Changing Dynamics of the First, Second  & Third Approximates  of the Exponential Chaotic System & their Synchronization , Journal of Vibration Testing and System Dynamics 4(4) (2020), 337-361.
  • [12]        A. Khan, L. S. Jahanzaib, and P. Trikha,Analysis of a novel 3-d fractional order chaotic system, In: ICPECA , IEEE, (2019), 1-6.
  • [13]        A. Khan, P. Trikha, and L. S. Jahanzaib, Dislocated hybrid synchronization via. tracking control & parameter estimation methods with application, International Journal of Modelling and Simulation , Taylor & Francis (2020), 1-11.
  • [14]        A. Khan and P. Trikha,Compound difference anti-synchronization between chaotic systems of integer and fractional order, S.N.Applied Sciences, Springer,1(7) (2019), 757.
  • [15]        A. Khan, P. Trikha, and L. S. Jahanaib,Secure Communication: Using Synchronization On A Novel Fractional Order Chaotic System, In: ICPECA, IEEE, (2019), 1-5.
  • [16]        A. Khan, P. Trikha, and L. S. Jahanaib, Double Compound Combination Anti-synchronization In A Non Identical Fractional Order Hyper Chaotic System, Journal of Basic and Applied Engineering Research, (2019), 437-443.
  • [17]        A. Khan, L.S. Jahanaib, and P. Trikha, Dual Combination Combination Anti-synchronization of Non-identical Fractional Order Chaotic System With Different Dimension Using Scaling Matrix, Journal of Basic and Applied Engineering Research, (2019), 431-436.
  • [18]        A. Khan, L. S. Jahanzaib, and P. Trikha, Fractional Inverse Matrix Projective Combination Synchronization with Application in Secure Communication,in: Proceedings of International Conference on Artificial Intelligence and Applications, Springer, (2020), 93-101.
  • [19]        A. Khan and P. Trikha, Study of earths changing polarity using compound difference synchronization, GEM- International Journal on Geomathematics ,11(1) Springer(2020), 7.
  • [20]        C. Li, X. Liao, and J. Yu, Synchronization of fractional order chaotic systems, Physical Review E, 68(6) (2003), 067203.
  • [21]        S. Liu and F. Zhang, Complex function projective  synchronization of complex chaotic system and its applications  in secure communication, Non linear Dynamics, 76(2) (2014), 1087-1097.
  • [22]        Y. Liu, Y. Takiguchi, P. Davis, T. Aida, S. Saito, and J. Liu, Experimental observation of complete chaos synchronization in semiconductor lasers, Applied Physics Letters, 80(23) (2002), 4306-4308.
  • [23]        J. G. Lu, Chaotic dynamics of the fractional order lu system and its synchronization, Physics Letters A, 354(4) (2006), 305-311.
  • [24]        A. C. Luo, A theory for synchronization of dynamical systems, Communications in Nonlinear Science and Nu- merical Simulations,14(5) (2009), 1901-1951.
  • [25]        E. E. Mahmoud, L. S. Jahanzaib, P. Trikha, and M. H. Alkinani, Anti-synchronized quad-compound combination among parallel systems of fractional chaotic system with application, Alexandria Engineering Journal, Elsevier, (2020).
  • [26]        M. A. Moghaddam, Y. E. Tabriz, and M. Lakestani, Solving fractional optimal control problems using Genocchi polynomials, Computational Methods for Differential Equations,University of Tabriz, 9(1) (2020), 79-93.
  • [27]        S. Soradi-Zeid, Solving a class of fractional optimal control problems via a new efficient and accurate method, Computational Methods for Differential Equations,University of Tabriz, 9(2) (2020), 480-492.
  • [28]        J. Sun, N. Li, and J. Fang, Combination-Combination Projective Synchronization of Multiple Chaotic Systems Using Sliding Mode Control., Advances in Mathematical Physics, Hindawi (2018).
  • [29]        P. Trikha and L. S. Jahanzaib, Secure Communication: Using Double Compound-Combination Hybrid Synchro- nization,in: Proceedings of International Conference on Artificial Intelligence and Applications, Springer, (2020), 81-91.
  • [30]        P. Trikha and L .S. Jahanzaib, Dynamical analysis of a novel 5-d hyper-chaotic system with no equilibrium point and its application in secure communication, Differential Geometry–Dynamical Systems, 22 (2020).
  • [31]        V. K. Yadav, G. Prasad, M. Srivastava, and S. Das, Triple Compound Synchronization Among Eight Chaotic Sys- tems with External Disturbances via Nonlinear Approach, Differential Equations and Dynamical Systems,Springer, (2019).
آمار
تعداد مشاهده مقاله: 743
تعداد دریافت فایل اصل مقاله: 804


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب