[
[1] A. Hastings, C.L. Hom, S. Ellner, P. Turchin, H.C.J. Godfray, Chaos in Ecology: Is Mother Nature a Strange Attractor?, Annu. Rev. Ecol. Syst. 24 (1993), 1–33.10.1146/annurev.es.24.110193.000245
]Search in Google Scholar
[
[2] D. Rickles, P. Hawe, A. Shiell, A Simple Guide to Chaos and Complexity, J. Epidemiol. Commun. Health. 61 (2007), 933–937.10.1136/jech.2006.054254246560217933949
]Search in Google Scholar
[
[3] M. Berezowski, M. Lawnik, Identification of fast-changing signals by means of adaptive chaotic transformations, Nonlinear Anal. Model. Control, 19 (2014), 172–177.10.15388/NA.2014.2.2
]Search in Google Scholar
[
[4] M. Lawnik, M. Berezowski, Identification of the oscillation period of chemical reactors by chaotic sampling of the conversion degree, Chem. Process Eng. 35 (2014), 387–393.10.2478/cpe-2014-0029
]Search in Google Scholar
[
[5] M. Lawnik, Generation of numbers with the distribution close to uniform with the use of chaotic maps, Proceedings of the 4th International Conference on Simulation and Modeling Methodologies, Technologies and Applications, (2014), 451–455.10.5220/0005090304510455
]Search in Google Scholar
[
[6] S. Kumari, R. Chugh, J. Cao, C. Huang, On the construction, properties and Hausdorff dimension of random Cantor one pth set, AIMS Mathematics, 5 (2020), 3138–3155.10.3934/math.2020202
]Search in Google Scholar
[
[7] S. Kumari, R. Chugh, J. Cao, C. Huang, Multi Fractals of Generalized Multivalued Iterated Function Systems in b-Metric Spaces with Applications, Mathematics 7 (2019), 967.10.3390/math7100967
]Search in Google Scholar
[
[8] S. Kumari, R. Chugh, Novel fractals of Hutchinson Barnsley operator in Hausdorff g-metric spaces, Poincare Journal of Analysis & Applications, 7 (2020), 99–117.10.46753/pjaa.2020.v07i01.010
]Search in Google Scholar
[
[9] S. Kumari, M. Kumari, R. Chugh, Dynamics of superior fractals via Jungck SP orbit with s-convexity, Annals of the University of Craiova-Mathematics and Computer Science Series, 46(2), 2019, 344–365.
]Search in Google Scholar
[
[10] S. Kumari, M. Kumari, R. Chugh, Graphics for complex polynomials in Jungck-SP orbit, IAENG International Journal of Applied Mathematics, 49 (2019), 568–576.
]Search in Google Scholar
[
[11] R.L. Devaney, An Introduction to Chaotic Dynamical Systems, 2nd ed., Westview Press, USA 2003.
]Search in Google Scholar
[
[12] K.T. Alligood, T.D. Sauer, J.A. Yorke, Chaos : An Introduction to Dynamical Systems, Springer, New York 1996.10.1007/b97589
]Search in Google Scholar
[
[13] R.A. Holmgren, A first course in discrete dynamical systems, Springer-Verlag; 1994.10.1007/978-1-4684-0222-3
]Search in Google Scholar
[
[14] R. May, Simple mathematical models with very complicated dynamics, Nature, 261 (1976), 459–475.10.1038/261459a0934280
]Search in Google Scholar
[
[15] S. Kumar, M. Kumar, R. Budhiraja, M.K. Das, S. Singh, A secured cryptographic model using intertwining logistic map, Procedia Computer Science, 143 (2018), 804–811.10.1016/j.procs.2018.10.386
]Search in Google Scholar
[
[16] C. Han, An image encryption algorithm based on modified logistic chaotic map, Optik, 181 (2019), 779-785.10.1016/j.ijleo.2018.12.178
]Search in Google Scholar
[
[17] Z. Hua, Y. Zhou, Image encryption using 2D Logistic-adjusted-Sine map, Inf. Sci. 339 (2016), 237–253.10.1016/j.ins.2016.01.017
]Search in Google Scholar
[
[18] L.P.L. de Oliveira, M. Sobottka, Cryptography with chaotic mixing, Chaos, Solitons & Fractals, 3 (2008), 466–471.10.1016/j.chaos.2006.05.049
]Search in Google Scholar
[
[19] P. Shang, X. Li, S. Kame, Chaotic analysis of traffic time series, Chaos, Solitons & Fractals, 25 (2005), 121–128.10.1016/j.chaos.2004.09.104
]Search in Google Scholar
[
[20] S.C. Lo, H.J. Cho, Chaos and control of discrete dynamic traffic model, J. Franklin Inst. 342 (2005), 839–851.10.1016/j.jfranklin.2005.06.002
]Search in Google Scholar
[
[21] M. McCartney, A discrete time car following model and the bi-parameter logistic map, Commun. Nonlinear Sci. Numer. Simul. 14 (2009), 233–243.10.1016/j.cnsns.2007.06.012
]Search in Google Scholar
[
[22] Ashish, J. Cao, R. Chugh, Chaotic behavior of logistic map in superior orbit and an improved chaos-based traffic control model, Nonlinear Dynamics, 2018, 1–17. https://doi.org/10.1007/s11071-018-4403-y.10.1007/s11071-018-4403-y
]Search in Google Scholar
[
[23] T. Nagatani, Vehicular motion through a sequence of traffic lights controlled by logistic map, Physics Letters A, 372 (2008), 5887–5890.10.1016/j.physleta.2008.07.063
]Search in Google Scholar
[
[24] T. Nagatani, N. Sugiyama, Vehicular traffic flow through a series of signals with cycle time generated by a logistic map, Physica A, 392 (2013), 851–856.10.1016/j.physa.2012.10.015
]Search in Google Scholar
[
[25] S. Kumari, R. Chugh, A novel four-step feedback procedure for rapid control of chaotic behavior of the logistic map and unstable traffic on the road, Chaos, 30 (2020), 123115.10.1063/5.0022212
]Search in Google Scholar
[
[26] N. Singh, A. Sinha, Chaos-based secure communication system using logistic map, Opt. Lasers Eng. 48 (2010), 398–404.10.1016/j.optlaseng.2009.10.001
]Search in Google Scholar
[
[27] J.S. Martin, M.A. Porter, Convergence time towards periodic orbits in discrete dynamical systems, PLOS One, 9 (2014), 1–9.
]Search in Google Scholar
[
[28] R.V. Medina, A.D. Mendez, J.L. Rio-Correa, J.L. Hernandez, Design of chaotic analog noise generators with logistic map and MOS QT circuits, Chaos, Solitons & Fractals, 40 (2009), 1779–1793.10.1016/j.chaos.2007.09.088
]Search in Google Scholar
[
[29] R. Chugh, A. Kumar, S. Kumari, A novel epidemic model to analyze and control the chaotic behavior of covid-19 outbreak, Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics, 13(2020), 479-508.
]Search in Google Scholar
[
[30] F.G. Xie, B.L. Hao, ymbolic Dynamics of the Sine-square Map, Chaos, Solitons & Fractals, 3 (1993), 47-60.10.1016/0960-0779(93)90039-4
]Search in Google Scholar
[
[31] P. Philominathan, P. Neelamegam, S. Rajasekar, Statistical dynamics of sine-square map, Physica A, 242 (1997), 391–408.10.1016/S0378-4371(97)00259-8
]Search in Google Scholar
[
[32] B. Saha, S.T. Malasani, J.B. Seventline, Application of Modified Chaotic Sine Map in Secure Communication, Int. J. Comput. Appl. 113 (2015), 9–14.
]Search in Google Scholar
[
[33] H. Ogras, M. Turk, A Secure Chaos-based Image Cryptosystem with an Improved Sine Key Generator, American Journal of Signal Processing, 6 (2016), 67–76.
]Search in Google Scholar
[
[34] X. Jie1, C. Pascal, F.P. Daniele, T.A. Kaddous, L. KePing, Chaos generator for secure transmission using a sine map and an RLC series circuit, Science in China Series F: Information Sciences, 53 (2010), 129–136.10.1007/s11431-010-0024-5
]Search in Google Scholar
[
[35] G.C. Wu, D. Baleanu, S.D. Zeng, Discrete chaos in fractional sine and standard maps, Physics Letters A, 378 (2014), 484–487.10.1016/j.physleta.2013.12.010
]Search in Google Scholar
[
[36] Egydio de Carvalho R., Edson D. Leonel: Squared sine logistic map, Physica A, 463 (2016), 37–44.10.1016/j.physa.2016.07.008
]Search in Google Scholar
[
[37] J. Wu, X. Liao, B. Yang, Image Encryption Using 2D Henon-Sine Map and DNA Approach, Signal Process. 153 (2018), 11–23, doi: 10.1016/j.sigpro.2018.06.008.10.1016/j.sigpro.2018.06.008
]Search in Google Scholar
[
[38] Z. Hua, F. Jin, B. Xu, H. Huang, 2D Logistic-Sine-Coupling Map for Image Encryption, Signal Process. 149 (2018), 148–161, doi: 10.1016/j.sigpro.2018.03.010.10.1016/j.sigpro.2018.03.010
]Search in Google Scholar
[
[39] W.R. Mann, Mean value methods in iteration, Proc. Am. Math. Soc. 4 (1953), 506–510.10.1090/S0002-9939-1953-0054846-3
]Search in Google Scholar
[
[40] M. Rani, R. Agarwal, A new experimental approach to study the stability of logistic map, Chaos, Solitons & Fractals, 41 (2009), 2062–2066.10.1016/j.chaos.2008.08.022
]Search in Google Scholar
[
[41] Ashish, J. Cao, A Novel Fixed Point Feedback Approach Studying the Dynamical Behaviors of Standard Logistic Map, Internat. J. Bifur. Chaos 29(2019), 1950010 (16 pages).10.1142/S021812741950010X
]Search in Google Scholar
[
[42] J. Fridrich, Image encryption based on chaotic maps, in Proceedings of IEEE International Conference on Systems, Man and Cybernetics(ICSMC‘97), 2(1997), 1105–1110.
]Search in Google Scholar