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Coexistence of synchronization and anti-synchronization in chaotic systems

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The coexistence of anti-synchronization and synchronization in chaotic systems is investigated. A novel algorithm is proposed to determine the variables of the master system that should anti-synchronize with corresponding variables of the slave system. Control strategies that guarantee the coexistence of synchronization and anti-synchronization in the unified chaotic system are presented; while numerical simulations are employed to validate and illustrate the effectiveness of the proposed method.
Rocznik
Strony
69--79
Opis fizyczny
Bibliogr. 20 poz., wykr., wzory
Twórcy
autor
  • School of Science, Qilu University of Technology, Jinan 250353, China
autor
  • School of Science, Qilu University of Technology, Jinan 250353, China
  • Department of Physical Sciences, Redeemer’s University, PMB 3005 Redemption City, Nigeria
  • Department of Physics, Lancaster University, Lancaster LA14YB, United Kingdom
Bibliografia
  • [1] L. M. Pecora and T. L. Carroll: Synchronization in chaotic systems. Physical Review Letters, 64 (1990), 821-824.
  • [2] S. Boccaletti, J. Kurths, G. Osipov and D. Valladares: The synchronization of chaotic systems. Physics Reports, 366 (2002), 1-101.
  • [3] S. BOWONG: Stability analysis for the synchronization of chaotic systems with different order: application to secure communications. Physics Letters A, 326 (2004), 102-113.
  • [4] D. Huang: Simple adaptive-feedback controller for identical chaos synchronization. Physical Review E, 71 (2005), 037203.
  • [5] R. Guo and G. Li: Modification for collection of masterslave synchronized chaotic systems. Chaos, Solitons & Fractals, 40 (2009), 453-457.
  • [6] R. Guo: A simple adaptive controller for chaos and hyperchaos synchronization. Physics Letters A, 372 (2008), 5593-5597.
  • [7] G. Wang: Stabilization and synchronization of genesiotesi system via single variable feedback controller. Physics Letters A, 374 (2010), 2831-2834.
  • [8] Y. Zhang and J. Sun: Chaotic synchronization and anti-synchronization based on suitable separation. Physics Letters A, 330 (2004), 442-447.
  • [9] S. C. J. Hu and L. Chen: Adaptive control for anti-synchronization of Chuas chaotic system. Physics Letters A, 339 (2005), 455-460.
  • [10] S. Hammami, M. Benrejeba, M. Fekib and P. Borne: Feedback control design for Rössler and Chen chaotic systems anti-synchronization. Physics Letters A, 374 (2010), 2835-2840.
  • [11] M. M. Al-Sawalha, M. Noorani and M. Al-Dlalah: Adaptive antisynchronization of chaotic systems with fully unknown parameters. Computers and Mathematics with Applications, 59 (2010), 3234-3244.
  • [12] M. Srivastava, S. Ansari, S. Agrawal, S. Das and A. Leung: Antisynchronization between identical and non-identical fractional-order chaotic systems using active control method. Nonlinear Dynamics, 76(2), (2014), 905-914
  • [13] H.-L. Li, Y.-L. Jiang and Z.-L. Wang: Anti-synchronization and intermittent anti-synchronization of two identical hyperchaotic chua systems via impulsive control. Nonlinear Dynamics, 79(2), (2015), 919-925.
  • [14] Q. Zhang, J. Lü and S. Chen: Coexistence of anti-phase and complete synchronization in the generalized Lorenz system. Communications in Nonlinear Science and Numerical Simulations, 15 (2010), 3067-3072.
  • [15] R. Guo: Simultaneous synchronization and anti-synchronization of two identical new 4D chaotic systems, Chinese Physics Letters, 28 (2011), 040205.
  • [16] Z. Wang and X. Shi: Coexistence of anti-synchronization and complete synchronization of delay hyperchaotic L´lu systems via partial variables, J. of Vibration and Control, 19 (2013), 2199-2210.
  • [17] S. Kuntanapreeda: Chaos synchronization of unified chaotic systems via LMI. Physics Letters A, 373 (2009), 2837-2840.
  • [18] Z. Q. Zhang, H. Shen and J. L. Li: Adaptive stabilization of uncertain unified chaotic systems with nonlinear input. Applied Mathematics and Computers, 218 (2011), 4260-4267.
  • [19] C.-J. Cheng and C.-B. Cheng: An asymmetric image cryptosystem based on the adaptive synchronization of an uncertain unified chaotic system and a cellular neural network. Communications in Nonlinear Science and Numerical Simulations, 18 (2013), 2825-2837.
  • [20] X. R. Chen and C. X. Liu: Passive control on a unified chaotic system. Nonlinear Analysis: Real World Applications, 11 (2010), 683-687.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-89100404-4b35-4bfe-b3f5-f02fc54f434f
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