Two main objectives were successfully addressed in this thesis: (a) To develop new simulation paradigms, parts and tools for simulating nonlinear circuits, and, (b) To design and produce a one-time pad encoder prototype which incorporates two novel delay chaos sources mounted on a PCB for protecting sensitive data stored in the Cloud. From an initial mathematical idea, a prototype device was designed and built and produced binary OTP sequences which met all the requirements of the NIST suite of tests. Chaos technology has not developed as rapidly as it could and in this thesis new simulating parts, tools and methods for simulating chaos were developed which might encourage other researchers to create more chaos ap- plications in cryptography. Finally, quantum computing will present problems to all cryptographic systems when the number of qubits in existing hardware is in- creased. The only encoding system to resist cryptanalysis by these computers is the unconditionally-secure OTP encoder [Bernstein and Lange, 2017].
Aich, Asish, Alo Sen, and Satya Ranjan Dash (2015). “A survey on cloud environ- ment security risk and remedy”. In: Proc. - 1st Int. Conf. Comput. Intell. Net-
works, CINE 2015, pp. 192–193.ISSN: 2375-5822.DOI: 10.1109/CINE.2015.
45.
Albrecht, Jan Philipp (2016). “How the GDPR Will Change the World”. In: Eur. Data Prot. L. Rev. 2, p. 287.
Alcover, Pedro María, Antonio Guillamón, and María del Carmen Ruiz (2013). “A new randomness test for bit sequences”. In: Informatica 24.3, pp. 339–356. Alvarez, G et al. (2000). “Cryptanalysis of a chaotic encryption system”. In: Physics
Letters A 276.1, pp. 191–196.
Alvarez, Gonzalo and Shujun Li (2006). “Some basic cryptographic requirements for chaos-based cryptosystems”. In: International Journal of Bifurcation and Chaos 16.08, pp. 2129–2151.
Angert, Joseph C (2001). Pad encryption method and software. US Patent 6,324,287. Arroyo, David, Gonzalo Alvarez, and Veronica Fernandez (2008). “On the inade-
quacy of the logistic map for cryptographic applications”. In: arXiv preprint arXiv:0805.4355.
Aubin, David and Amy Dahan Dalmedico (2002). “Writing the history of dynamical systems and chaos: longue durée and revolution, disciplines and cultures”. In: Historia mathematica 29.3, pp. 273–339.
Bäck, Thomas and Hans-Paul Schwefel (1993). “An overview of evolutionary algo- rithms for parameter optimization”. In: Evolutionary computation 1.1, pp. 1– 23.
Badger, Lee et al. (2012). “Cloud computing synopsis and recommendations”. In: NIST special publication 800, p. 146.
Bahi, Jacques M et al. (2010). “Ramdomness quality of CI chaotic generators. Appli- cation to Internet security”. In: Science (80-. ). arXiv: arXiv:1112.0941v1. Baptista, MS (1998). “Cryptography with chaos”. In: Physics lettersA 240.1-2, pp. 50–
54.
Barker, Elaine B and John Michael Kelsey (2012). Recommendation for the Entropy Sources Used for Random Bit Generator. US Department of Commerce, Na- tional Institute of Standards and Technology.
BIBLIOGRAPHY
Barker, Elaine B and Allen Roginsky (2012). “Recommendation for Cryptographic
Key Generation”. In: NIST Spec. Publ. 800-133, pp. 1–26. DOI: 10 . 6028 /
NIST.SP.800-133.
Bellovin, Steven M (2011). “Frank Miller: Inventor of the One-Time Pad”.
Bellovin, Steven M. (2016). “Vernam, mauborgne, and friedman: The one-time pad and the index of coincidence”. In: Lecture Notes in Computer Science (includ- ing subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioin-
formatics) 9100, pp. 40–66.ISSN: 16113349.DOI: 10.1007/978-3-662-49301-
4_4.
Bennett, W (1983). “Secret telephony as a historical example of spread-spectrum communication”. In: IEEE Transactions on Communications 31.1, pp. 98–104. Bernstein, Daniel J and Tanja Lange (2017). “Post-quantum cryptography”. In: Na-
ture 549.7671, pp. 188–194.
Bezruchko, Boris P and Dmitry A Smirnov (2010). Extracting knowledge from time se- ries: An introduction to nonlinear empirical modeling. Springer Science & Busi- ness Media.
Biham, Eli (1991). “Cryptanalysis of the chaotic-map cryptosystem suggested at Eurocrypt’91”. In: Advances in Cryptology—EUROCRYPT’91. Springer, pp. 532–534.
Biolek, Zdenˇek, Dalibor Biolek, and Viera Biolkova (2009). “SPICE Model of Mem- ristor with Nonlinear Dopant Drift.” In: Radioengineering 18.2.
Biolková, Viera, Dalibor Biolek, and Zdenˇek Kolka (2011). “Fourier analysis of a memristor excited by sinusoidal signal”. In: Proc. MMES/DEEE/COMATIA, pp. 154–159.
Blackledge, J M (2011a). “On the Applications of Deterministic Chaos for Encrypt- ing Data on the Cloud”. In: Third Int. Conf. Evol. Internet INTERNET 2011,
pp. 78–87.ISBN: 9781612081410.
Blackledge, Jonathan, A Al-Rawi, and P Tobin (2014). “Stegacryption of DICOM Metadata”. In:
Blackledge, Jonathan, Sergei Bezobrazov, and Paul Tobin (2015). “Cryptography us- ing artificial intelligence”. In: Neural Networks (IJCNN), 2015 International Joint Conference on. IEEE, pp. 1–6.
Blackledge, Jonathan and Paul Tobin (2013). “Cryptography Using Evolutionary Computing”. In:
Blackledge, Jonathan M (2011b). Cryptography and Steganography: New Algorithms and Applications. Center for Advanced Studies Warsaw University of Tec- hnology.
Blackmer, WS (2016). “GDPR: Getting Ready for the New EU General Data Pro- tection Regulation”. In: Information Law Group, InfoLawGroup LLP, Retrieved 22.08, p. 2016.
Blakely, Jonathan N, Michael B Eskridge, and Ned J Corron (2007). “A simple Lorenz circuit and its radio frequency implementation”. In: Chaos: An Interdisci- plinary Journal of Nonlinear Science 17.2, p. 023112.
— (2008). “High-frequency chaotic Lorenz circuit”. In: Southeastcon, 2008. IEEE.
IEEE, pp. 69–74.
Borowski, M and M Lesniewicz (2012). “Modern usage of “old” one-time pad”. In: Communications and Information Systems Conference (MCC), 2012 Military, pp. 1–5.
Borowski, Mariusz (2016). “The infinite source of random sequences for classified cryptographic systems”. In: Military Communications and Information Sys- tems (ICMCIS), 2016 International Conference on. IEEE, pp. 1–6.
Boyling, JB (1973). “Carnot engines and the principle of increase of entropy”. In: International Journal of Theoretical Physics 7.4, pp. 291–299.
Briggs, Keith (1991). “A precise calculation of the Feigenbaum constants”. In: Math- ematics of Computation 57.195, pp. 435–439.
Bucklew, James (2013). Introduction to rare event simulation. Springer Science & Busi- ness Media.
Buscarino, Arturo et al. (2012). “Memristive chaotic circuits based on cellular nonlin- ear networks”. In: International Journal of Bifurcation and Chaos 22.03, p. 1250. Cafagna, Donato (2007). “Fractional calculus: A mathematical tool from the past for present engineers [Past and present]”. In: IEEE Industrial Electronics Maga- zine 1.2, pp. 35–40.
Carnahan, Lisa J and Miles E Smid (1994). “Security requirements for cryptographic modules”. In:
Carroll, Thomas L and Louis M Pecora (1991). “Synchronizing chaotic circuits”. In: IEEE Transactions on circuits and systems 38.4, pp. 453–456.
Chen, YangQuan (2010). “Fractional calculus, delay dynamics and networked con- trol systems”. In: Resilient Control Systems (ISRCS), 2010 3rd International Symposium on. IEEE, pp. 58–63.
Chua, Leon (1971). “Memristor-the missing circuit element”. In: IEEE Transactions on circuit theory 18.5, pp. 507–519.
Chua, Leon O and Sung Mo Kang (1976). “Memristive devices and systems”. In: Proceedings of the IEEE 64.2, pp. 209–223.
BIBLIOGRAPHY
Corporation, F D K (2003). “The Evaluation of Randomness of RPG100 by Using NIST and DIEHARD Tests”. In: Test, pp. 1–6.
Courts, Northern Ireland et al. (2016). “Review of Civil and Family Justice”. In: Crilly, Antony J, Rae Earnshaw, and Huw Jones (2012). Fractals and chaos. Springer
Science & Business Media.
Cristina, D˘asc˘alescu Ana and Boriga Radu Eugen (2012). “A new method to im- prove cryptographic properties of chaotic discrete dynamical systems”. In: Internet Technology And Secured Transactions, 2012 International Conference for. IEEE, pp. 60–65.
Cuomo, Kevin M, Alan V Oppenheim, and Steven H Strogatz (1993). “Synchroniza- tion of Lorenz-based chaotic circuits with applications to communications”. In: IEEE Transactions on circuits and systems II: Analog and digital signal pro- cessing 40.10, pp. 626–633.
Davidson, Peter (2015). Turbulence: an introduction for scientists and engineers. Oxford University Press, USA.
Dendney, AK (1991). “Leaping into Lyapunov space”. In: Scientific American 265, pp. 178–180.
Devipriya, M and G Sasikala (2015). “A New Technique for One Time Pad Security Scheme with Complement Method”. In: International Journal of Advanced Research in Computer Science and Software Engineering 5.6, pp. 220–223. Diffie, Whitfield and Martin Hellman (1976). “New directions in cryptography”. In:
IEEE transactions on Information Theory 22.6, pp. 644–654.
Duncan, Bob and Mark Whittington (2016a). “Enhancing Cloud Security and Pri- vacy: The Cloud Audit Problem”. In: Cloud Comput. 2016 Seventh Int. Conf. Cloud Comput. GRIDs, Virtualization c, pp. 119–124.
— (2016b). “Enhancing Cloud Security and Privacy: The Power and the Weak-
ness of the Audit Trail”. In: Cloud Comput, pp. 125–130.
Eckmann, J-P and David Ruelle (1985). “Ergodic theory of chaos and strange attrac- tors”. In: The Theory of Chaotic Attractors. Springer, pp. 273–312.
Fischer, Viktor and M Drutarovsky (2002). “True random number generator embed- ded in reconfigurable hardware”. In: CHES. Vol. 2. Springer, pp. 415–430. Foong, Oi-Mean, Tang Jung Low, and Kah Wing Hong (2018). “Simulation Study of
Single Quantum Channel BB84 Quantum Key Distribution”. In: IT Conver- gence and Security 2017. Springer, pp. 159–167.
Frigg, Roman (2003). “Self-organised criticality—what it is and what it isn’t”. In: Studies In History and Philosophy of Science Part A 34.3, pp. 613–632.
Frigg, Roman and Charlotte Werndl (2011). “A guide for the perplexed”. In: Proba- bilities in physics, p. 115.
Gauthier, Daniel J (2003). “Resource letter: CC-1: Controlling chaos”. In: American Journal of Physics 71.8, pp. 750–759.
Ginoux, Jean-Marc (2017). “Andronov’s Notes: Toward the Concept of
Self-Oscillations”. In: History of Nonlinear Oscillations Theory in France (1880-1940). Springer, pp. 131–144.
Gladwin, Lee A (1997). “Alan Turing, Enigma, and the breaking of German ma- chine -ciphers in World-War-II”. In: Prologue-quarterly of the National Arc- hives 29.3, pp. 202–217.
Gleick, James (2011a). Chaos: Making a new science (Enhanced edition). Open Road Me- dia.
— (2011b). “The information: A history, a theory, a flood.” In:
Grassberger, Peter and Itamar Procaccia (1983). “Estimation of the Kolmogorov en- tropy from a chaotic signal”. In: Physical review A 28.4, p. 2591.
Greenwald, Glenn (2014). No place to hide: Edward Snowden, the NSA, and the US surveillance state. Macmillan.
Gupta, S, Sparsh Mittal, and Ankush Mittal (2008). “EureQA: Overcoming The Digi- tal Divide Through A Multidocument QA System For E-Learning”. In: Natl. Conf. Emerg. Trends Inf. Technol. India.
Haahr, Mads (1999). “Introduction to randomness and random numbers”. In: Ran- dom. org, June.
— (2010). “Random. org: True random number service”. In: School of Computer
Science and Statistics, Trinity College, Dublin, Ireland. 10.URL: https://www.
random.org..
Habutsu, Toshiki et al. (1991). “A Secret Key Cryptosystem by Iterating a Chaotic Map.” In: Eurocrypt. Vol. 91. Springer, pp. 127–136.
Hadamard, Jacques (1898). “Les surfaces à courbures opposées et leurs lignes géodésique”. In: J. Math. pures appl. 4, pp. 27–73.
Hamano, Kenji, Fumio Sato, and Hirosuke Yamamoto (2009). “A new randomness test based on linear complexity profile”. In: IEICE Trans. Fundam. Electron.
Commun. Comput. Sci. E92-A.1, pp. 166–172.ISSN: 17451337.DOI: 10.1587/
transfun.E92.A.166.
Hamid, Herny Ramadhani Mohd Husny and Norhaiza Abdullah (2016). “Physical Authentication Using Random Number Generated (RNG) Keypad Based on One Time Pad (OTP) Concept”. In: Proceedings- 4th International Confer- ence on Cyber Security, Cyber Warfare, and Digital Forensics, CyberSec 2015,
pp. 135–139.ISBN: 9781467384995.DOI: 10.1109/CyberSec.2015.34.
BIBLIOGRAPHY
Hassan, Kamal Halili and Maizatul Farisah Mokhtar (2011). “The e-court system in Malaysia”. In: International Proceedings of Economic Development and Research 13, pp. 240–244.
Hassard, B et al. (1994). “A computer proof that the Lorenz equations have “chao tic” solutions”. In: Applied Mathematics Letters 7.1, pp. 79–83.
Hayes, Scott, Celso Grebogi, and Edward Ott (1993). “Communicating with cha os”. In: Physical review letters 70.20, p. 3031.
Hayman, Walter K (2000). Dame Mary (Lucy) Cartwright, DBE 17 December 1900–3 April 1998.
Hilborn, Robert C (2000). Chaos and nonlinear dynamics: an introduction for scientists and engineers. Oxford University Press on Demand.
Hirsch, Morris W, Stephen Smale, and Robert L Devaney (2012). Differential equa- tions, dynamical systems, and an introduction to chaos. Academic press.
Hopf, Eberhard (1934). “On causality, statistics and probability”. In: Studies in Ap- plied Mathematics 13.1-4, pp. 51–102.
— (1948). “A mathematical example displaying features of turbulence”. In:
Communications on Pure and Applied Mathematics 1.4, pp. 303–322.
Huergo, Jennifer (2007). “Nist removes cryptography algorithm from random- num- ber generator recommendations”. In: NIST announcement, April.
Index, Cisco Visual Networking (2013). Global mobile data traffic forecast update, 2012- 2017.
Itoh, Makoto and Leon Chua (2014). “Memristor cellular automata and memristor discrete-time cellular neural networks”. In: Memristor Networks. Springer, pp. 649–713.
Itoh, Makoto and Leon O Chua (2008). “Memristor oscillators”. In: International Jour- nal of Bifurcation and Chaos 18.11, pp. 3183–3206.
Ivancevic, Vladimir G and Tijana T Ivancevic (2007). “Chaotic brain/mind dynam- ics”. In: Computational Mind: A Complex Dynamics Perspective, pp. 271–459. Jees, Philomina and T Diya (2016). “Medical Image Protection in Cloud System”. In:
matrix 2, p. 3.
Jensen, Meiko et al. (2009). “On technical security issues in cloud computing”. In: Cloud Computing, 2009. CLOUD’09. IEEE International Conference on. IEEE, pp. 109–116.
Jia, Hongyan et al. (2016). “Analysis and Circuit Implementation for the Fract ional- order Chen System”. In: 8th CHAOS Conference proceedings. Vol. 241.
Joglekar, Yogesh N and Stephen J Wolf (2009). “The elusive memristor: properties of basic electrical circuits”. In: European Journal of Physics 30.4, p. 661.
Kennedy, Michael Peter (1993). “Three steps to chaos. I. Evolution”. In: IEEE Trans- actions on Circuits and Systems I: Fundamental Theory and Applications 40.10, pp. 640–656.
Kennedy, Michael Peter (1992). “Robust Op amp Realization of Chua’s Circuit 1 In- troduction”. In: Frequenz 46.3, pp. 1–27.
Kennedy, Peter (2013). “Genealogy of Chua’s Circuit”. In: Chaos, CNN, Memristors and Beyond: A Festschrift for Leon Chua With DVD-ROM, composed by Eleonora Bilotta, pp. 3–24.
Kerckhoffs, Auguste (1883). “La cryptographie militaire”. In: J. des Sci. Mil. IX, pp. 5–
83.URL: http://www.petitcolas.net/fabien/kerckhoffs/.
Kiliç, Recai (2010). A practical guide for studying Chua’s circuits. Vol. 71. World Scien- tific.
Kocarev, Ljupco, Zbigniew Galias, and Shiguo Lian (2009). Intelligent computing based on chaos. Vol. 184. Springer.
Kocarev, Ljupˇco and Goce Jakimoski (2001). “Logistic map as a block encryption al- gorithm”. In: Physics Letters, Section A: General, Atomic and Solid State Physics
289.4-5, pp. 199–206.ISSN: 03759601.DOI: 10.1016/S0375-9601(01)00609-
0.
Kodba, Stane, Matjaž Perc, and Marko Marhl (2004). “Detecting chaos from a time series”. In: European journal of physics 26.1, p. 205.
Kotwal, James A P (2008). “The Modified Logistic Map and its Application to Cryp- tography Submitted by”. In: March.
Kozma, Robert, Robinson E Pino, and Giovanni E Pazienza (2012). Advances in neuro- morphic memristor science and applications. Vol. 4. Springer Science and Busi- ness Media.
Kuznetsov, NV, TA Alexeeva, and GA Leonov (2016). “Invariance of Lyapunov ex- ponents and Lyapunov dimension for regular and irregular linearizations”. In: Nonlinear Dynamics 85.1, pp. 195–201.
Lakshmanan, Muthusamy and Dharmapuri Vijayan Senthilkumar (2011). Dynamics of nonlinear time-delay systems. Springer Science & Business Media.
Lam, Harry Y-F (1979). “Analog and digital filters: design and realization”. In: En- glewood Cliffs, New Jersey.
Landau, Lev D (1944). “On the problem of turbulence”. In: Dokl. Akad. Nauk SSSR. Vol. 44. 8, pp. 339–349.
Landau, Susan (2014). “Highlights from making sense of Snowden, part II: What’s significant in the NSA revelations”. In: IEEE Security & Privacy 12.1, pp. – 62–64.
BIBLIOGRAPHY
Landauer, Rolf (1961). “Irreversibility and heat generation in the computing pro- cess”. In: IBM journal of research and development 5.3, pp. 183–191.
Laplace, Pierre-Simon (2009). “Determinism, Ignorance, and Probability”. In: Philos- ophy of Science: An Historical Anthology, Oxford Wiley-Blackwell, pp. 250–253. Li, Tien-Yien and James A Yorke (1975). “Period three implies chaos”. In: The Ameri-
can Mathematical Monthly 82.10, pp. 985–992.
Lorenz, Edward N (1963). “Deterministic nonperiodic flow”. In: Journal of the atmo- spheric sciences 20.2, pp. 130–141.
— (1995). The essence of chaos. University of Washington Press.
Lorenz, EN (1972). “Does the flap of a butterfly’s wings in Brazil set off a tornado in Texas?, American As-sociation for the Advancement of Science”. In: Global Atmospheric Research Program. 139th Meeting of the American Association for the Advancement of Science. Unpublished.
Loverro, Adam (2004). “Fractional calculus: history, definitions and applications for the engineer”. In: Rapport technique, University of Notre Dame: Department of Aerospace and Mechanical Engineering, pp. 1–28.
Makris, George and Ioannis Antoniou (2012). “Cryptography with chaos”. In: Pro- ceedings of the 5th Chaotic Modelling and Simulation International Conference, Athens, Greece, pp. 12–15.
Mancosu, Paolo (2005). “Visualization in logic and mathematics”. In: Visualization, explanation and reasoning styles in mathematics, pp. 13–30.
Matthews, R (1989). “On the derivation of a “chaotic” encryption algorithm”. In:
Cryptologia 13.1, pp. 29–42. ISSN: 15581586. DOI: 10 . 1080 / 0161 - 11899 -
1863745.
May, Robert (2004). “Synthesis of Chaotic Maps with Arbitrary Invariant Densities”. In: pp. 85–87.
May, Robert M (1976). “Simple mathematical models with very complicated dynam- ics”. In: Nature 261.5560, pp. 459–467.
Mckhann, Ashley (2011). “ODEs Modeling Chaotic Convection:Data vs.Physics”. In: Merrikh-Bayat, Farnood and Saeed Bagheri Shouraki (2011). “Memristor-based cir- cuits for performing basic arithmetic operations”. In: Procedia Computer Sci- ence 3, pp. 128–132.
Meuffels, Paul and Rohit Soni (2012). “Fundamental issues and problems in the re- alization of memristors”. In: arXiv preprint arXiv:1207.7319.
Miliotis, Abraham et al. (2009). “A simple nonlinear dynamical computing device”.
In: Chaos, Solitons and Fractals 42.2, pp. 809–819. ISSN: 09600779. DOI: 10 .
1016/j.chaos.2009.02.010.URL: http://dx.doi.org/10.1016/j.chaos.
Mohsin, Fadiyya A and Hazem M El-Bakry (2015). “A Novel Approach for Speeding up Secured Litigation Procedures”. In: Scientific and Technical Advancements 1, pp. 37–43.
Mohsin, Fadiyya A, Reham R Mostafa, and Hazem M El Bakry (2015). “Design of Information System for Facilitating Litigation Procedures”. In: International Journal of Computer Engineering and Information Technology 6.1, pp. 107–112. Molotkov, Sergei N (2006). “Quantum cryptography and VA Kotelnik-ovs one-time
key and sampling theorems”. In: Physics-Uspekhi 49.7, pp. 750–761.
Morgan, John, Gang Tian, and Ricci Flow (2007). “the Poincaré Conjecture”. In: American Mathematical Society, Providence, RI 200.7.
Morris, Brian and Frank Moss (1986). “Postponed bifurcations of a quadratic map with a swept parameter”. In: Physics Letters A 118.3, pp. 117–120.
Muthuswamy, Bharathwaj (2010). “Implementing memristor based chaotic circuits”. In: International Journal of Bifurcation and Chaos 20.05, pp. 1335–1350.
Muthuswamy, Bharathwaj and P Kokate (2009). “Memristor-based chaotic circuits”. In: IETE Technical Review 26.6, pp. 417–429.
Nabonnand, Philippe (1999). “The Poincaré—Mittag-Leffler Relationship”. In: The Mathematical Intelligencer 21.2, pp. 58–64.
Nåsell, Ingemar (2001). “Extinction and quasi-stationarity in the Verhulst logistic model”. In: Journal of Theoretical Biology 211.1, pp. 11–27.
Neishtadt, Anatoly (2009). “On stability loss delay for dynamical bifurcations”. In: Discrete and Continuous Dynamical Systems-S 2.4, pp. 897–909.
NIST, A (2001). “Statistical Test Suite for the Validation of Random Number Genera- tors and Pseudo Random Number Generators for Cryptographic Applica- tions”. In: Special Publication, pp. 800–22.
Nolte, David D (2010). “The tangled tale of phase space”. In: Physics today 63.4, pp. 33–38.
Oishi, Shin’ichi and Hajime Inoue (1982). “Pseudo-random number generators and chaos”. In: IEICE TRANSACTIONS (1976-1990) 65.9, pp. 534–541.
Ortigueira, Manuel Duarte (2008). “An introduction to the fractional continuous- time linear systems: the 21st century systems”. In: IEEE Circuits and Systems Magazine 8.3.
Ott, Edward (1981). “Strange attractors and chaotic motions of dynamical systems”. In: The Theory of Chaotic Attractors. Springer, pp. 103–119.
Palmore, Julian and Charles Herring (1990). “Computer arithmetic, chaos and frac- tals”. In: Physica D: Nonlinear Phenomena 42.1-3, pp. 99–110.
BIBLIOGRAPHY
Patidar, Vinod, NK Pareek, and KK Sud (2009). “A new substitution–diffusion based image cipher using chaotic standard and logistic maps”. In: Communications in Nonlinear Science and Numerical Simulation 14.7, pp. 3056–3075.
Pawelzik, K and HG Schuster (1987). “Generalized dimensions and entropies from a measured time series”. In: Physical Review A 35.1, p. 481.
Pellicer-Lostao, Carmen and Ricardo
Lopez-Ruiz (2012). “Notions of Chaotic Cryptography: Sketch of a Chaos based Cryptosystem”. In: arXiv preprint arXiv:1203.4134.
Perc, MATJAZ (2006). “Introducing nonlinear time series analysis in undergraduate courses”. In: FIZIKA A-ZAGREB- 15.1/4, p. 91.
Poincaré, H (1899). “L’oeuvre mathématique de Weierstrass”. In: Acta mathematica 22.1, pp. 1–18.
Poincaré, Henri (1890). “Sur le problème des trois corps et les équations de la dy- namique”. In: Acta mathematica 13.1, A3–A270.
Poincaré, Henri and I Szumilewicz (1978). Henri Poincaré. Wiedza Powszechna. Pontriagin, LS and Lo V Rodygin (1960). “Approximate solution of a system of ordi-
nary differential equations involving a small parameter using derivatives”. In: Doklady Akademii Nauk SSSR 131.2, pp. 255–258.
Pressing, Jeff (1988). “Nonlinear maps as generators of musical design”. In: Computer Music Journal 12.2, pp. 35–46.
Rijmenants, Dirk (2009). Is One-time Pad History ?URL: http://users.telenet.be/
d.rijmenants.
— (2010). The Complete Guide to Secure Communications with One Time Pad Ci-
pher.
Rodriguez-Vazquez, Angel et al. (1987). “Chaos from switched-capacitor circuits: discrete maps”. In: Proceedings of the IEEE 75.8, pp. 1090–1106.
Rong, Chunming, Son T Nguyen, and Martin Gilje Jaatun (2013). “Beyond lightning: A survey on security challenges in cloud computing”. In: Computers and Electrical Engineering 39.1, pp. 47–54.
Rosser Jr, J Barkley (2009). “Chaos theory before Lorenz”. In: Nonlinear dynamics, psychology, and life sciences 13.3, p. 257.
Rossler, O (1979). “An equation for hyperchaos”. In: Physics Letters A 71.2-3, pp. 155– 157.
Rössler, Otto E (1998). Endophysics: the world as an interface. World scientific.
Ruelle, David (1972). “Strange attractors as a mathematical explanation of turbu- lence”. In: Statistical Models and Turbulence. Springer, pp. 292–299.
Ruelle, David and Floris Takens (1995). “On the nature of turbulence”. In: Turbulence, Strange Attractors And Chaos. World Scientific, pp. 57–84.
Rueppel, Rainer A (2012). Analysis and design of stream ciphers. Springer Science and Business Media.
Sachdev, Abha and Mohit Bhansali (2013). “Enhancing cloud computing security using aes algorithm”. In: International Journal of Computer Applications 67.9. Sachkov, Vladimir N (2006). “V A Kotel’nikov and encrypted communications in
our country”. In: Physics-Uspekhi 49.7, p. 748. URL: http://stacks.iop.
org/1063-7869/49/i=7/a=A08.
Saha, Partha and Steven H Strogatz (1995). “The birth of period three”. In: Mathe- matics Magazine 68.1, pp. 42–47.
Saltzman, Barry (1962). “Finite amplitude free convection as an initial value prob-