A new 4-D chaotic hyperjerk system, its synchronization, circuit design and applications in RNG, image encryption and chaos-based steganography

Sundarapandian Vaidyanathan1, Akif Akgül2, Sezgin Kaçar2, Ünal Çavuşoğlu3
1Vel Tech University, Research and Development Centre, Tamil Nadu, India
2Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, Sakarya, Turkey
3Department of Computer Engineering, Faculty of Technology, Sakarya University, Sakarya, Turkey

Tóm tắt

Từ khóa


Tài liệu tham khảo

S. Vaidyanathan, C. Volos, Advances and Applications in Chaotic Systems (Springer, Berlin, Germany, 2016)

A.T. Azar, S. Vaidyanathan, Advances in Chaos Theory and Intelligent Control (Springer, Berlin, Germany, 2016)

S. Winnings, Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer, Berlin, German, 2003)

E.N. Lorenz, J. Atmos. Sci. 20, 130 (1963)

O.E. Rössler, Phys. Lett. A 57, 397 (1976)

J.C. Sprott, Phys. Rev. 50, 647 (1994)

G. Chen, T. Ueda, Int. J. Bifurcat. Chaos 9, 1465 (1999)

H.P.W. Gottlieb, Am. J. Phys. 64, 525 (1996)

R. Tchitnga, T. Nguazon, P.H.L. Fotso, J.A.C. Gallas, IEEE Trans. Circuits Syst. II: Express Briefs 63, 239 (2016)

J. Heidel, J. Zhang, Int. J. Bifurcat. Chaos 17, 2049 (2007)

S. Ghorui, S.N. Sahasrabudhe, P.S.S. Muryt, A.K. Das, N. Venkatramani, IEEE Trans. Plasma Sci. 28, 235 (2000)

H.G. Enjieu Kadji, J.B. Chabi Orou, R. Yamapi, P. Woafo, Chaos Solitons Fractals 32, 862 (2007)

P. Coullet, C. Tresser, A. Arneodo, Phys. Lett. A 72, 268 (1979)

J.C. Sprott, Phys. Lett. A 228, 271 (1997)

Z. Elhadj, J.C. Sprott, Palest. J. Math. 2, 38 (2013)

K.E. Chlouverakis, J.C. Sprott, Chaos Solitons Fractals 28, 739 (2006)

S.J. Linz, Chaos Solitons Fractals 37, 741 (2008)

S. Vaidyanathan, C. Volos, V.T. Pham, K. Madhavan, Arch. Control Sci. 25, 135 (2015)

S. Vaidyanathan, Int. J. Control Theory Appl. 9, 257 (2016)

S. Vaidyanathan, Arch. Control Sci. 26, 311 (2016)

S. Vaidyanathan, A. Sambas, M. Mamat, M. Sanjaya WS, Int. J. Model. Identif. Control 26, 153 (2017)

X. Wang, S. Vaidyanathan, C. Volos, V.T. Pham, T. Kapitaniak, Nonlinear Dyn. 89, 1673 (2017)

A. Sambas, S. Vaidyanathan, M. Mamat, M. Sanjaya WS, R.P. Prastio, Int. J. Control Theory Appl. 9, 141 (2016)

Z.T. Njitacke, J. Kengne, L. Kamdjeu Kengne, Chaos Solitons Fractals 105, 77 (2017)

A.S. Mansingka, M. Affan Zidan, M.L. Barakat, A.G. Radwan, K.N. Salama, Microelectron. J. 44, 744 (2013)

R.A. El-Nabulsi, Int. J. Non-Linear Mech. 93, 65 (2017)

H. Bao, N. Wang, B. Bao, M. Chen, P. Jin, G. Wang, Commun. Nonlinear Sci. Numer. Simul. 57, 264 (2018)

F.Y. Dalkiran, J.C. Sprott, Int. J. Bifurcat. Chaos 26, 1650189 (2016)

A. Wolf, J.B. Swift, H.L. Swinney, J.A. Vastano, Physica D 16, 285 (1985)

P. Frederickson, J. Kaplan, E. Yorke, J. Yorke, J. Differ. Equ. 49, 185 (1983)

H.K. Khalil, Nonlinear Systems (Prentice Hall, New Jersey, USA, 2002)

A statistical test suite for random and pseudo RNGs for cryptographic applications, NIST-800-22 (National Institute of Standards and Techniques, 2001) http://csrc.nist.gov/publications/nistpubs/800-22/sp-800-22-051501.pdf

P.K. Narendra, P. Vinod, K.S. Krishan, Image Vision Comput. 24, 926 (2006)

E. Biham, A. Shamir, J. Cryptol. 4, 3 (1991)

Y. Wang, K.W. Wong, X. Liao, T. Xiang, G. Chen, Chaos Solitons Fractals 41, 1773 (2009)

C.E. Shannon, Bell Syst. Tech. J. 28, 656 (1948)