A novel family of 1-D robust chaotic maps

[1] Qais H Alsafasfeh and Mohammad S Al-Arni. A new chaotic behavior from lorenz and rossler systems and its electronic circuit implementation. Circuits and Systems, 2(02):101, 2011. AlsafasfehQais H Al-ArniMohammad S A new chaotic behavior from lorenz and rossler systems and its electronic circuit implementation Circuits and Systems 2 02 101 2011 10.4236/cs.2011.22015 Search in Google Scholar

[2] Soumitro Banerjee, James A Yorke, and Celso Grebogi. Robust chaos. Physical Review Letters, 80(14):3049, 1998. BanerjeeSoumitro YorkeJames A GrebogiCelso Robust chaos Physical Review Letters 80 14 3049 1998 10.1103/PhysRevLett.80.3049 Search in Google Scholar

[3] MS Baptista. Cryptography with chaos. Physics letters A, 240(1–2):50–54, 1998. BaptistaMS Cryptography with chaos Physics letters A 240 1–2 50 54 1998 10.1016/S0375-9601(98)00086-3 Search in Google Scholar

[4] Mauricio Zapateiro De la Hoz, Leonardo Acho, and Yolanda Vidal. A modified chua chaotic oscillator and its application to secure communications. Applied Mathematics and Computation, 247:712–722, 2014. De la HozMauricio Zapateiro AchoLeonardo VidalYolanda A modified chua chaotic oscillator and its application to secure communications Applied Mathematics and Computation 247 712 722 2014 10.1016/j.amc.2014.09.031 Search in Google Scholar

[5] Jonathan HB Deane and David C Hamill. Improvement of power supply emc by chaos. Electronics letters, 32(12):1046, 1996. DeaneJonathan HB HamillDavid C Improvement of power supply emc by chaos Electronics letters 32 12 1046 1996 10.1049/el:19960716 Search in Google Scholar

[6] Manuel Delgado-Restituto and Ángel Rodríguez-Vázquez. Integrated chaos generators. Proceedings of the IEEE, 90(5):747–767, 2002. Delgado-RestitutoManuel Rodríguez-VázquezÁngel Integrated chaos generators Proceedings of the IEEE 90 5 747 767 2002 10.1109/JPROC.2002.1015005 Search in Google Scholar

[7] P Dudek and VD Juncu. Compact discrete-time chaos generator circuit. Electronics Letters, 39(20):1431–1432, 2003. DudekP JuncuVD Compact discrete-time chaos generator circuit Electronics Letters 39 20 1431 1432 2003 10.1049/el:20030881 Search in Google Scholar

[8] Scott Hayes, Celso Grebogi, and Edward Ott. Communicating with chaos. Physical review letters, 70(20):3031, 1993. HayesScott GrebogiCelso OttEdward Communicating with chaos Physical review letters 70 20 3031 1993 10.1103/PhysRevLett.70.303110053758 Search in Google Scholar

[9] David A Hsieh. Chaos and nonlinear dynamics: application to financial markets. The journal of finance, 46(5):1839–1877, 1991. HsiehDavid A Chaos and nonlinear dynamics: application to financial markets The journal of finance 46 5 1839 1877 1991 10.1111/j.1540-6261.1991.tb04646.x Search in Google Scholar

[10] VD Juncu, M Rafiei-Naeini, and P Dudek. Integrated circuit implementation of a compact discrete-time chaos generator. Analog Integrated Circuits and Signal Processing, 46(3):275–280, 2006. JuncuVD Rafiei-NaeiniM DudekP Integrated circuit implementation of a compact discrete-time chaos generator Analog Integrated Circuits and Signal Processing 46 3 275 280 2006 10.1007/s10470-006-1432-0 Search in Google Scholar

[11] Georges Kaddoum. Design and performance analysis of a multiuser ofdm based differential chaos shift keying communication system. IEEE Transactions on Communications, 64(1):249–260, 2015. KaddoumGeorges Design and performance analysis of a multiuser ofdm based differential chaos shift keying communication system IEEE Transactions on Communications 64 1 249 260 2015 10.1109/TCOMM.2015.2502259 Search in Google Scholar

[12] Ali Kanso and Nejib Smaoui. Logistic chaotic maps for binary numbers generations. Chaos, Solitons & Fractals, 40(5):2557–2568, 2009. KansoAli SmaouiNejib Logistic chaotic maps for binary numbers generations Chaos, Solitons & Fractals 40 5 2557 2568 2009 10.1016/j.chaos.2007.10.049 Search in Google Scholar

[13] Tomasz Kapitaniak. Chaos for engineers: theory, applications, and control. Springer Science & Business Media, 2012. KapitaniakTomasz Chaos for engineers: theory, applications, and control Springer Science & Business Media 2012 Search in Google Scholar

[14] Ljupco Kocarev. Chaos-based cryptography: a brief overview. IEEE Circuits and Systems Magazine, 1(3):6–21, 2001. KocarevLjupco Chaos-based cryptography: a brief overview IEEE Circuits and Systems Magazine 1 3 6 21 2001 10.1109/7384.963463 Search in Google Scholar

[15] Laurent Larger, Jean-Pierre Goedgebuer, and Vladimir Udaltsov. Ikeda-based nonlinear delayed dynamics for application to secure optical transmission systems using chaos. Comptes Rendus Physique, 5(6):669–681, 2004. LargerLaurent GoedgebuerJean-Pierre UdaltsovVladimir Ikeda-based nonlinear delayed dynamics for application to secure optical transmission systems using chaos Comptes Rendus Physique 5 6 669 681 2004 10.1016/j.crhy.2004.05.003 Search in Google Scholar

[16] Hong Ge Li, Si Di Gong, Jian Wei Liu, and Dong Lin Su. Cmos-based chaotic pwm generator for emi reduction. IEEE Transactions on Electromagnetic Compatibility, 59(4):1224–1231, 2017. LiHong Ge GongSi Di LiuJian Wei SuDong Lin Cmos-based chaotic pwm generator for emi reduction IEEE Transactions on Electromagnetic Compatibility 59 4 1224 1231 2017 10.1109/TEMC.2016.2645784 Search in Google Scholar

[17] Yang Li-Jiang and Chen Tian-Lun. Application of chaos in genetic algorithms. Communications in Theoretical Physics, 38(2):168, 2002. YangLi-Jiang ChenTian-Lun Application of chaos in genetic algorithms Communications in Theoretical Physics 38 2 168 2002 10.1088/0253-6102/38/2/168 Search in Google Scholar

[18] Soumyajit Mandal and Soumitro Banerjee. An integrated cmos chaos generator. In Proc. 1st Indian National Conf. Nonlinear Systems & Dynamics (NCNSD’03), pages 313–316, 2003. MandalSoumyajit BanerjeeSoumitro An integrated cmos chaos generator In Proc. 1st Indian National Conf. Nonlinear Systems & Dynamics (NCNSD’03) 313 316 2003 Search in Google Scholar

[19] Naoki Masuda and Kazuyuki Aihara. Cryptosystems with discretized chaotic maps. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49(1):28–40, 2002. MasudaNaoki AiharaKazuyuki Cryptosystems with discretized chaotic maps IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49 1 28 40 2002 10.1109/81.974872 Search in Google Scholar

[20] Takashi Morie, Souta Sakabayashi, Makoto Nagata, and Atsushi Iwata. Cmos circuits generating arbitrary chaos by using pulsewidth modulation techniques. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 47(11):1652–1657, 2000. MorieTakashi SakabayashiSouta NagataMakoto IwataAtsushi Cmos circuits generating arbitrary chaos by using pulsewidth modulation techniques IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 47 11 1652 1657 2000 10.1109/81.895335 Search in Google Scholar

[21] Van Ha Nguyen, Sandeep Kumar, and Hanjung Song. A family of fully integrated cmos chaos generators with strictly 1-d linear-piecewise chaos maps. Journal of Computational Electronics, 17(3):1343–1355, 2018. NguyenVan Ha KumarSandeep SongHanjung A family of fully integrated cmos chaos generators with strictly 1-d linear-piecewise chaos maps Journal of Computational Electronics 17 3 1343 1355 2018 10.1007/s10825-018-1203-z Search in Google Scholar