Abstract
Synchronization of 4-D nonlinear fractional order hyperchaotic system with external disturbance is important models for encryption and decryption technique. In this paper, the fractional order 0 < α ≤ 1 is consider to establish finite-time control for synchronization of sender and receiver system. An audio encryption and decryption algorithms are investigated based on converting an audio data samples into image data. A random mask generated from chaotic mask is used to encrypt and decrypt the audio signals. The path of error system of fractional order hyperchaotic system is shown to be highly better than the classical one. Further, high level security of the proposed work is entrusted or assured by analyzing various metrics including MSE, PSNR, SSIM, NPCR and SNR along with numerical simulations.




















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References
Abdurahman A, Jiang H, Teng Z (2016) Finite-time synchronization for fuzzy cellular neural networks with time-varying delays. Fuzzy Sets Syst 297:96–111
Aghababa MP, Khanmohammadi S, Alizadeh G (2011) Finite-time synchronization of two different chaotic syatems with unknown parameters via sliding mode technique. Appl Math Model 35:3080–3091
Al-Kateeb ZN, Mohammed SJ (2020) A novel approach for audio file encryption using hand geometry. Multimed Tools Appl 79:19615–19628
Cafagna D, Grassi G (2011) New 3D-scroll attractors in hyperchaotic Chua’s circuits forming a ring. Int J Bifurcation Choas Appl Sci Eng 13:2889–2903
Chen H (2009) Chaos control and global synchronization of Liu chaotic systems using balanced feedback control. Chaos Soliton Fract 40:466–473
Chen G, Ueta T (1999) Yet another chaotic attractor. Int J Bifurc Chaos Appl Sci Eng 9:1465–1466
Chen A, Lu J, Lü J, Yu S (2006) Generating hyperchaotic Lü attractor via state feedback control. Physica A 364:103–110
Cheng J, Park JH, Karimi H, Shen H (2018) A flexible terminal approach to sampled-data exponentially synchronization of Markovian neural networks with time-varying delayed signals. IEEE Trans Cybern 48:2232–2244
Cuomo KM, Oppenheim AM, Strogatz SM (1993) Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Trans Circuits Syst II Analog Digit Signal Process 40:626–633
Dadras S, Momeni HR, Qi G, Wang ZL (2012) Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form. Nonlinear Dyn 67:1161–1173
Fa-Qiang W, Chong-Xin L (2006) Hyperchaos evolved from the Liu chaotic system. Chin Phys 15:963–968
Feng M, Wang X, Wei Q (2013) Adaptive robust synchronization of fractional-order chaotic system with disturbance. J Vib Control 21:2259–2265
Gao T, Chen Z, Yuan Z, Chen G (2006) A hyperchaos generated from Chen’s system. Int J Mod Phys C 17:471–478
Jackson LB, Lindgren AG, Kim Y (1984) A chaotic attractor from Chua’s circuit. IEEE Trans Circuits Syst 31:1055–1058
Jawahir A, Haviluddin H (2015) An audio encryption using transposition method. Int J Adv Intell Inform 1:98–106
Jia Q (2007) Hyperchaos generated from the Lorenz chaotic system and its control. Phys Lett A 366:217–222
Kalpana M, Ratnavelu K, Balasubramaniam P, Kamali MZM (2018) Synchronization of chaotic-type delayed neural networks and its application. Nonlinear Dyn 93:543–555
Kalpana M, Ratnavelu K, Balasubramaniam P (2019) An audio encryption based on synchronization of robust BAM FCNNs with time delays. Multimed Tools Appli 78:5969–5988
Kwon OM, Park JH, Lee SM (2011) Secure communication based on chaotic synchronization via interval time-varying delay feedback control. Nonlinear Dyn 63:239–252
Lassoued A, Boubaker O (2016) On new chaotic and hyperchaotic systems: a literature survey. Nonlinear Anal Model 21:770–789
Li X, Ou Q (2011) Dynamical properties and simulation of a new Lorenz-like chaotic system. Nonlinear Dyn 65:255–270
Lima JB, Da Silva Neto EF (2016) Audio encryption based on the cosine number transform. Multimed Tools Appl 75:8403–8418
Lin T, Huang F, Du Z, Lin Y (2015) Synchronization of fuzzy modeling chaotic time delay memristor-based Chua’s circuits with application to secure communication. Int J Fuzzy Syst 17:206–214
Liu H, Kadir A, Li Y (2016) Audio encryption scheme by confusion and diffusion based on multi-scroll chaotic system and one-time keys. Opt-Int J Light Electron Opt 127:7431–7438
Muthukumar P, Balasubramaniam P, Ratnavelu K (2018) Sliding mode control for generalized robust synchronization of mismatched fractional order dynamical system and its application to secure transmission of voice messages. ISA Trans 82:51–61
Nadir J, Ein AA, Alqadi Z (2016) A technique to encrypt-decrypt stereo wave file. Int J Comput Inf Technol 5:465–470
Naskar PK, Paul S, Nandy D, Chaudhuri A (2019) DNA encoding and channel shuffling for secured encryption of audio data. Multimed Tools Appl 78:25019–25042
Pang S, Liu Y (2011) A new hyperchaotic system from the Lü system and its control. J Comput Appl Math 235:2775–2789
Pang S, Feng Y, Liu Y (2016) Finite-time synchronization of chaotic systems with different dimension and secure communication. Math Probl Eng 2016:1–14
Prabu AV, Srinivasarao S, Apparao T, Rao MJ, Rao KB (2012) Audio encryption in handsets. Int J Comput Appl 40:40–45
Podlubny I (1999) Fractional differential equation. In: Mathematics in science and engineering, vol 198
Shen H, Zhu Y, Zhang L, Park J (2017) Extended dissipative state estimation for Markov jump neural networks with unreliable links. IEEE Trans Neural Netw Learn Syst 28:346–358
Srivastava M, Ansari SP, Agrawal SK, Das S, Leung AYT (2014) Anti-synchronization between identical and non-identical fractional-order chaotic systems using active control method. Nonlinear Dyn 76:905–914
Sun J, Wang Y, Wang Y, Shen Y (2016) Finite-time synchronization between two complex-variable chaotic systems with unknown parameters via nonsingular terminal sliding mode control. Nonlinear Dyn 85:1105–1117
Wan Z, Wang C, Luo X, Lin Y, Huang T (2014) Generating variable number of wings from a novel four-dimensional hyperchaotic system with one equilibrium. Optik 125:1371–1376
Wang X, Zhang Y, Gao Y (2009) Hyperchaos generated from Qi system and its observer. Mod Phys Lett B 23:963–974
Wang L, Shen Y, Yin Q, Zhang G (2015) Adaptive synchronization of memristor-based neural networks with time-varying delays. IEEE Trans Neural Netw Learn Syst 26:2033–2042
Wang L, Shen Y, Zhang G (2017) Finite-time stabilization and adaptive control of memristor-based delayed neural networks. IEEE Trans Neural Netw Learn Syst 28:2648–2659
Wang L, Ge MF, Zeng Z, Hu J (2018) Finite-time robust consensus of nonlinear distributed multiagent systems via two-layer event-triggered control. Inf Sci 466:270–283
Wang L, Dong T, Ge M-F (2019) Finite-time synchronization of memristor chaotic systems and its application in image encryption. Appl Math Comput 347:293–305
Wem S, Zhang Z, Huang T, Chen Y (2013) Fuzzy modeling and synchronization of different memristor-based chaotic circuits. Phys Lett A 377:2016–2021
Wen S, Zhang Z, Huang T (2012) Adaptive synchronization of memristor-based Chua’s circuit. Phys Lett A 376:2775–2780
Xiaodong L, Haoyang Y, Hongyu Z, Xin J, Hongbo S, Jing L (2020) Video encryption based on hyperchaotic system. Multimed Tools Appl 79:23995–24011
Yang N, Liu C (2013) A novel fractional-order hyperchaotic system stabilization via fractional sliding-mode control. Nonlinear Dyn 74:721–732
Yin C, Zhong SM, Chen WF (2012) Design of sliding mode controller for a class of fractional-order chaotic systems. Commun Nonlinear Sci Numer Simul 17:356–366
Yujun N, Xingyuan W, Mingjun W (2010) A new hyperchaotic system and its circuit implementation. Commun Nonlinear Sci Numer Simul 15:3518–3524
Zhang G, Liu Z, Ma Z (2007) Generalized synchronization of different dimensional chaotic dynamical systems. Chaos Solitons Fractals 32:773–779
Zhen W, Xia H, Yu-Xia L, Xiao-Na S (2013) A new image encryption algorithm based on the fractional-order hyperchaotic Lorenz system. Chin Phys B 22:1–7
Zou L, Peng Y, Feng Y, Tu Z (2010) Stabilization and synchronization of memristive chaotic circuits by impulsive control. Complexity 2017:1–10
Acknowledgments
This work is partially supported by University Grants Commission-Special Assistance Programme (Department of Special Assistance-I), New Delhi, India, File No. F. 510/7/DSA-1/2015 (SAP-I) and partially supported by NFSC, UGC, New Delhi, File No. 82-1/2018 (SA-III), UGC-Ref. No.: 4071/(CSIR-UGC NET JUNE 2018).
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Babu, N.R., Kalpana, M. & Balasubramaniam, P. A novel audio encryption approach via finite-time synchronization of fractional order hyperchaotic system. Multimed Tools Appl 80, 18043–18067 (2021). https://doi.org/10.1007/s11042-020-10288-8
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DOI: https://doi.org/10.1007/s11042-020-10288-8