Partea I

[1]     Mantegna, R. N. & Stanley, H. E. (2000) An Introduction to Econophysics:Correlations and Complexity in Finance (Cambridge Univ. Press, Cambridge, U.K.).

[2]     F. Black and M. Scholes, ‘The Pricing of Options and Corporate Liabilities’, J.  Polit.  Econ. 81. 637-654 (1973).

[3]     V. Pareto, Cours d'Economie Politique (Lausanne and Paris, 1897).

[4]     P. Levy, Calcul des probabilites (Gauthier-Villars, Paris, 1925).

[5]     B. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman, San Francisco, 1982).

[6]     H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, Oxford, 1971).

[7]     A. Einstein, ‘On the Movement of Small Particles Suspended in a Stationary  Liquid Demanded by the Molecular-Kinetic Theory of Heat’, Ann. Phvsik17,549-560 (1905).

[8]     N. Wiener, ‘Differential Space’, J. Math. Phys. 2, 131-174 (1923).

[9]     L. Bachelier, ‘Theorie de la speculation’ [Ph.D. thesis in mathematics], Annales Scienti/iques de l'Ecole Normale Superieure III-17, 21-86 (1900).

[10]  B. B. Mandelbrot, ‘The Variation of Certain Speculative Prices’, J. Business 36, 394-419 (1963).

[11]  B. V. Gnedenko and A. N. Kolmogorov, Limit Distributions for Sums of Independent Random Variables (Addison-Wesley, Cambridge MA, 1954).

[12]  J.A. Holyst et al., Deterministic chaos in financial time series, Eur. Phys. J. B 20, 531{535 (2001).

[13]  J.A. Holyst, K. Urbanowicz, Chaos control in economical model by time-delayed feedback method, Physica A 287, 587 (2000);

[14]  E. Majorana, ‘Il valore delle leggi statistiche nella fisica e nelle scienze sociali’, Scientia 36, 58-66 (1942).

[15]  L. P. Kadanoff, ‘From Simulation Model to Public Policy: An examination of Forrester's Urban Dynamics’, Simulation 16, 261-268 (1971).

[16]  E. W. Montroll and W. W. Badger, Introduction to Quantitative Aspects of Social Phenomena (Gordon and Breach, New-York, 1974).

[17]  P. W. Anderson, J. K. Arrow and D. Pines, eds., The Economy as an Evolving Complex System (Addison-Wesley, Redwood City, 1988).

[18]  J.-P. Bouchaud and M. Potters, Theories des Risques Financiers (Eyrolles, Alea-Saclay, 1997).

[19]  I. S. Ghashghaie, W. Breyrnann, J. Peinke, P. Talkner, and Y. Dodge, ‘Turbulent Cascades in Foreign Exchange Markets’, Nature 381, 767-770 (1996).

[20]  P. Gopikrishnan, M. Meyer, L. A. N. Amaral, and H. E. Stanley, ‘Inverse Cubic Law for the Distribution of Stock Price Variations’, Eur. Phys. J. B 3.139-140(1998).

[21]  R. N. Mantegna, ‘Levy Walks and Enhanced Diffusion in Milan Stock Exchange’, Physica A 179, 232-242 (1991).

[22]  R. N. Mantegna and H. E. Stanley, ‘Scaling Behavior in the Dynamics of an Economic Index’, Nature 376, 4649 (1995).

[23]  M. Potters, R. Cont, and J.-P. Bouchaud, ‘Financial Markets as Adaptive Ecosystems’, Europhys. Lett. 41, 239 242 (1998).

[24]  R. Cont. M. Potters, and J.-P. Bouchaud, ‘Scaling in Stock Market Data: Stable Laws and Beyond’, in Scale Invuricince and Beyond, edited by B.Dubrulle. F. Graner, and D. Sornette (Springer. Berlin. 1997).

[25]  W. Li, ‘Absence of 1/f Spectra in Dow Jones Daily Average’, Intl J. Bifurcations and Chaos 1, 583-597 (1991).

[26]  Y. Liu, P. Cizeau, M. Meyer, C.-K. Peng, and H. E. Stanley, ‘Quantification of Correlations in Economic Time Series’, Physicu A 245, 437-440 (1997).

[27]  R. N. Mantegna and H. E. Stanley, ‘Turbulence and Financial Markets’, Nature 383, 587-588 (1996).

[28]  A. Arneodo, J. F. Muzy, and D. Sornette, ‘"Direct" Causal Cascade in the Stock Market’, Eur. Phys. J. B 2, 277-282 (1998).

[29]  P. Cizeau, Y. Liu, M. Meyer, C.-K. Peng, and H. E. Stanley, ‘Volatility Distribution in the S&P 500 Stock Index’, Physica A 245, 441-445 (1997).

[30]  U. A. Muller, M. M. Dacorogna, R. B. Olsen, O. V. Pictet, M. Schwarz, and C. Morgenegg, ‘Statistical Study of Foreign Exchange Rates, Empirical Evidence of a Price Change Scaling Law and Intraday Analysis’, J. Banking and Finance 14, 1189-1208 (1995).

[31]  P. Bak, K. Chen, J. Scheinkman, and M. Woodford, ‘Aggregate Fluctuations from Independent Sectoral Shocks: Self-Organized Criticality in a Model of Production and Inventory Dynamics’, Ricerche Economiche 47, 3-30 (1993).

[32]  P. Bak, M. Paczuski, and M. Shubik, ‘Price Variations in a Stock Market with Many Agents’, Physica A 246, 430-453 (1997).

[33]  J.-P. Bouchaud and R. Cont, ‘A Langevin Approach to Stock Market Fluctuations and Crashes’, Eur. Phys. J. B 6, 543-550 (1998).

[34]  G. Caldarelli, M. Marsili, and Y.-C. Zhang, ‘A Prototype Model of Stock Exchange’, Europhys. Lett. 40, 479-483 (1997).

[35]  D. Challel and Y. C. Zhang, ‘On the Minority Game: Analytical and Numerical Studies’, Physica A 256, 514-532 (1998).

[36]  M. Levy, H. Levy, and S. Solomon, ‘Microscopic Simulation of the Stock-Market - The Effect of Microscopic Diversity’,  J. Phvs. I 5,1087-1107(1995).

[37]  M. Levy and S. Solomon, ‘Power Laws Are Logarithmic Boltzmann Laws’, Intl J. Mod. Phys. C 7, 595-601 (1996).

[38]  D. Stauffer, ‘Can Percolation Theory be Applied to the Stock Market?’, Ann. Phys.-Berlin 7, 529-538 (1998).

[39]  D. Stauffer and T. J. P. Penna, ‘Crossover in the Cont-Bouchaud Percolation Model for Market Fluctuations’, Physica A 256, 284 290 (1998).

[40]  H. Takayasu, H. Miura, T. Hirabayashi, and K. Hamada, ‘Statistical Properties of Deterministic Threshold Elements - The Case of Market Price’, Physica A 184, 127-134 (1992).

[41]  H. Takayasu, A. H. Sato, and M. Takayasu, ‘Stable Infinite Variance Fluctuations in Randomly Amplified Langevin Systems’, Phys. Rev. Lett. 79, 966-969 (1997).

[42]  T. Lux, ‘Time Variation of Second Moments from a Noise Trader Infection Model’, J. Econ. Dyn. Control 22, 1-38 (1997).

[43]  T. Lux, ‘The Socio-Economic Dynamics of Speculative Markets: Interacting Agents, Chaos, and the Fat Tails of Return Distributions’, J. Econ. Behav. Organ 33,143-165 (1998).

[44]  T. Lux and M. Marchesi, ‘Scaling and Criticality in a Stochastic Multi-Agent Model of a Financial Market’, Nature 397, 498-500 (1999).

[45]  J.-P. Bouchaud and D. Sornette, ‘The Black & Scholes Option Pricing Problem in Mathematical Finance: Generalization and Extensions For a Large Class of Stochastic Processes’, J. Phys. I France 4, 863 881 (1994).

[46]  J.-P. Bouchaud and M. Potters, Theories des Risques Financiers (Eyrolles, Alea-Saclay, 1997).

[47]  R. Baviera. M. Pasquini, M. Serva, and A. Vulpiani, ‘Optimal Strategies for Prudent Investors’, Int. J. Theor. Appl. Finance 1, 473-486 (1998).

[48]  S. Galluccio and Y. C. Zhang, ‘Products of Random Matrices and Investment Strategies’, Phys. Rev. E 54, R4516- R4519 (1996).

[49]  I. S. Galluccio, J.-P. Bouchaud, and M. Potters, ‘Rational Decisions. Random Matrices and Spin Glasses’, Physica A 259, 449-456 (1998).

[50]  M. Marsili, S. Maslov, and Y.-C. Zhang, ‘Dynamical Optimization Theory of a Diversified Portfolio’, Physica A 253, 403-418 (1998).

[51]  D. Sornette, ‘Large Deviations and Portfolio Optimization’, Physica A 256, 251-283 (1998).

[52]  I. S. Ghashghaie, W. Breyrnann, J. Peinke, P. Talkner, and Y. Dodge, ‘Turbulent Cascades in Foreign Exchange Markets’, Nature 381, 767-770 (1996).

[53]  R. N. Mantegna and H. E. Stanley, ‘Turbulence and Financial Markets’, Nature 383, 587-588 (1996).

[54]  R. N. Mantegna and H. E. Stanley, ‘Stock Market Dynamics and Turbulence: Parallel Analysis of Fluctuation Phenomena’, Physica A 239, 255-266 (1997).

[55]  J. D. Farmer, ‘Market Force, Ecology, and Evolution’, Adap-Org preprint server 9812005.

[56]  M. Potters, R. Cont, and J.-P. Bouchaud, ‘Financial Markets as Adaptive Ecosystems’, Europhys. Lett. 41, 239 242 (1998).

[57]  N. Vandewalle and M. Ausloos, ‘Coherent and Random Sequences in Financial Fluctuations’, Physica A 246, 454-459 (1997).

[58]  L. A. N. Amaral, S. V. Buldyrev, S. Havlin, H. Leschhorn, P. Maass, M. A. Salinger, H. E. Stanley, and M. H. R. Stanley, ‘Scaling Behavior in Economics: I. Empirical Results for Company Growth’, J. Phys. I France 7, 621-633 (1997).

[59]  L. A. N. Amaral, S. V. Buldyrev, S. Havlin, M. A. Salinger, and H. E. Stanley, ‘Power Law Scaling for a System of Interacting Units with Complex Internal Structure’, Phys. Rev. Lett. 80, 1385-1388 (1998).

[60]  M. H. R. Stanley, L. A. N. Amaral, S. V. Buldyrev, S. Havlin, H. Leschhorn, P. Maass, M. A. Salinger, and H. E. Stanley, ‘Scaling Behavior in the Growth of Companies’, Nature 379, 804-806 (1996).

[61]  H. Takayasu and K. Okuyama, ‘Country Dependence on Company Size Distributions and a Numerical Model Based on Competition and Cooperation’, Fractals 6, 67-79 (1998).

[62]  Y. Lee, L. A. N. Amaral, D. Canning, M. Meyer, and H. E. Stanley, ‘Universal Features in the Growth Dynamics of Complex Organizations’, Phys. Rev. Lett. 81, 3275-3278 (1998).

[63]  J. Kertesz and I. Kondor, eds., Econophysics: Proc. of the Budapest Workshop (Kluwer Academic Press, Dordrecht, 1999).

[64]  R. N. Mantegna. ed., Proceedings of the International Workshop on Econophysics and Statistical Finance, Physica A [special issue] 269. (1999).

[65]  E. F. Fama, ‘Efficient Capital Markets: A Review of Theory and Empirical Work’, J. Finance 25, 383-417 (1970).

[66]  L. Bachelier, ‘Theorie de la speculation’ [Ph.D. thesis in mathematics], Annales Scienti/iques de l'Ecole Normale Superieure III-17, 21-86 (1900).

[67]  P. H. Cootner, ed., The Random Character of Stock Market Prices (MIT Press, Cambridge MA, 1964).

[68]  I. P. A. Samuelson, ‘Proof that Properly Anticipated Prices Fluctuate Randomly’, Industrial Management Rev. 6, 41-45 (1965).

[69]  E. F. Fama, ‘Efficient Capital Markets: II’, J. Finance 46, 1575-1617 (1991).

[70]  A. N. Kolmogorov, ‘Three Approaches to the Quantitative Definition of Information’, Problems of Information Transmission 1, 4 (1965).

[71]  G. J. Chaitin, ‘On the Length of Programs for Computing Finite Binary Sequences’, J. Assoc. Comp. Math. 13, 547-569 (1966).

[72]  B. V. Gnedenko and A. N. Kolmogorov, Limit Distributions for Sums of Independent Random Variables (Addison-Wesley, Cambridge MA, 1954).

[73]  A. Ya. Khintchine, ‘Zur Theorie der unbeschrankt teilbaren Verteilungsgesetze’, Rec. Math. [Mat. Shornik] N. S. 2, 79-120 (1937).

[74]  I. B. V. Gnedenko, ‘On the Theory of Domains of Attraction of Stable Laws’, Uchenye Zapiski Moskov, Gos. Univ. Matematkia 45, 61-72 (1940).

[75]  R. N. Mantegna and H. E. Stanley, ‘Scaling Behavior in the Dynamics of an Economic Index’, Nature 376, 4649 (1995).

[76]  P. Gopikrishnan, M. Meyer, L. A. N. Amaral, and H. E. Stanley, ‘Inverse Cubic Law for the Distribution of Stock Price Variations’, Eur. Phys. J. B 3.139-140(1998).

[77]  K. R. French, ‘Stock Returns and the Weekend Effect', J. Financial Econ. 8, 55-69 (1980).

[78]  A. Papoulis, Probability, Random Variables, and Slochastic Processes, second edition (McGraw-Hill, New York, 1984).

[79]  J. Y. Campbell, A. W. Lo, and A. C. MacKinlay, The Econometrics of Financial Markets (Princeton University Press, Princeton, 1997).

[80]  M. S. Keshner, ‘1/f Noise’, Proc. IEEE 70, 212-218 (1982).

[81]  B. B. Mandelbrot, ‘The Variation of Certain Speculative Prices’, J. Business 36, 394-419 (1963).

[82]  R. C. Blattberg and N. J. Gonedes, ‘A Comparison of the Stable and Student Distributions as Statistical Model for Stock Prices’, J. Business 47, 244-280 (1974).

[83]  P. K. Clark, ‘A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices’, Econometrica 41, 135-256 (1973).

[84]  R. N. Mantegna and H. E. Stanley, ‘Stochastic Process with Ultraslow Convergence to a Gaussian: the Truncated Levy Flight’, Phys. Rev. Lett. 73, 2946-2949 (1994).

[85]  A. N. Kolmogorov, ‘Three Approaches to the Quantitative Definition of Information’, Problems of Information Transmission 1, 4 (1965).

[86]  E. Eberlein and U. Keller, ‘Hyperbolic Distributions in Finance’, Bernoulli1, 281 299 (1995).

[87]  P. Gopikrishnan, M. Meyer, L. A. N. Amaral, and H. E. Stanley, ‘Inverse Cubic Law for the Distribution of Stock Price Variations’, Eur. Phys. J. B 3.139-140(1998).

[88]  P. Gopikrishnan, M. Meyer, L. A. N. Amaral, V. Plerou, and H. E. Stanley, ‘Scaling and Volatility Correlations in the Stock Market’, Cond.-Mat. preprint server 9905305: Phys. Rev. E (in press).

[89]  T. Lux, ‘The Socio-Economic Dynamics of Speculative Markets: Interacting Agents, Chaos, and the Fat Tails of Return Distributions’, J. Econ. Behav. Organ 33,143-165 (1998).

[90]  R. F. Engle, ‘Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of U.K. Inflation’, Econometrica 50, 987-1002 (1982).

[91]  U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).

[92]  E. J. Eiton and M. J. Gruber, Modern Portfolio Theory and Investment Analysis (J. Wiley and Sons, New York, 1995).

[93]  H. Markowitz, Portfolio Selection: Efficient Diversification of Investment (J. Wiley, New York, 1959).

[94]  G. Connor and R. A. Korajczyk, ‘A Test for the Number of Factors in an Approximate Factor Model’. J. Finance 48, 1263-1291 (1993).

[95]  I. S. Galluccio, J.-P. Bouchaud, and M. Potters, ‘Rational Decisions. Random Matrices and Spin Glasses’, Physica A 259, 449-456 (1998).

[96]  L. Laloux, P. Cizeau, J.-P. Bouchaud, and M. Potters, ‘Noise Dressing of Financial Correlation Matrices’, Phys. Rev. Lett. 83. 1467-1470 (1999).

[97]  D. B. West, Introduction to Graph Theory (Prentice-Hall, Englewood Cliffs NJ, 1996).

[98]  C. H. Papadirnitriou and K. Steigitz, Combinatorial Optimization (Prentice-Hall, Englewood Cliffs NJ. 1982).

[99]  J.-P. Bouchaud and M. Potters, Theories des Risques Financiers (Eyrolles, Alea-Saclay, 1997).

[100]                 D. Duffie, Dynamic Asset Pricing Theory, Second edition (Princeton University Press. Princeton, 1996).

[101]                 K. Amin and R. Jarrow, ‘Pricing Options on Risky Assets in a Stochastic Interest Rate Economy’, Mathematical Finance 2, 217-237 (1992).

[102]                 D. Bates, ‘The Crash of 87: Was it Expected? The Evidence from Options Markets’, J. Finance 46, 1009-1044 (1991).

[103]                 S. Heston, ‘A Closed-form Solution for Options with Stochastic Volatility with Application to Bond and Currency Options’, Rev. Financial Studies 6, 327-343 (1993).

[104]                  A. Matacz, ‘Financial Modeling on Option Theory with the Truncated Eevy Process’, Working Paper, School of Mathematics and Statistics, University of Sydney, Report 97-28 (1997).

[105]                  E. Ott, C. Grebogi, J.A. Yorke, Phys. Rev. Lett. 64 (1990) 1196.

[106]                  T. Kapitaniak, Controlling Chaos, Academic Press, New York, 1996.

[107]                  Janusz A. Holyst, Krzysztof Urbanowicz, Chaos control in economical model by time-delayed feedback method, Physica A 287 (2000) 587

[108]                  T. Kapitaniak, Controlling Chaos, Academic Press, New York, 1996.

[109]                  J.A. Ho lyst, T. Hagel, G. Haag, Chaos, Solitons Fractals 8 (1997) 1489.

[110]                  K. Pyragas, Phys. Lett. A 170 (1992) 421.

[111]                  W. Just, E. Reibold, K. Kacperski, P. Fronczak, J.A. Ho lyst, H. Benner, Phys. Rev. E 61 (2000) 5045.

[112]                  G. Chen, J. Lu, B. Nicholas, S.M. Ranganathan, Int. J. Bifurc. Chaos 9 (1999) 287.

[113]                  G. Feichtinger, in: G. Haag, U. Mueller, K.G. Troitzsch (Eds.), Economic Evolution and Demographic Change, Springer, Berlin, 1992.

 

Partea II

 

[1] H. Haken, Synergetics. An Introduction, Springer, Heidelberg, 1983; Advanced Synergetics, Springer Heidelberg, 1983, G.A. Cowan, D. Pines, D. Meltzer (Eds.), Complexity. Metaphors, Models, and Reality, Addison-Wesley, Santa Fe, 1994;

[2] H.W. Lorenz, Nonlinear Dynamical Equations and Chaotic Economy, Springer, Berlin, 1993;

[3] R.N. Mantegna, H.E. Stanley, Introduction to Econophysics: Correlations Complexity in Finance; Cambridge University Press, Cambridge, 1999;

[4] D. Stau_er, D. Sornette, Physica A 271 (1999) 496;

[5] Shiller, R. J. (1989) Market Volatility (MIT Press, Cambridge, MA);

[6] Brock, W. A. & Hommes, C. H. (1997) in System Dynamics in Economic and Financial Models, eds. Heij, C., Schumacher, H. & Hanzon, B. (Wiley, New York),

[7] E. Ott, C. Grebogi, J.A. Yorke, Phys. Rev. Lett. 64 (1990) 1196;

[8] T. Kapitaniak, Controlling Chaos, Academic Press, New York, 1996;

[9] A. Hubler and E. Luscher, Resonant stimulation and control of nonlinear oscillators, Naturwissenschaften 76, pp. 67-69, 1989.

[10] Janusz A. Holyst, Krzysztof Urbanowicz, Chaos control in economical model by time-delayed feedback method, Physica A 287 (2000) 587;

[11] T. Kapitaniak, Controlling Chaos, Academic Press, New York, 1996;

[12] J.A. Ho lyst, T. Hagel, G. Haag, Chaos, Solitons Fractals 8 (1997) 1489;

[13] K. Pyragas, Phys. Lett. A 170 (1992) 421;

[14] W. Just, E. Reibold, K. Kacperski, P. Fronczak, J.A. Ho lyst, H. Benner, Phys. Rev. E 61 (2000) 5045;

[15] G. Chen, J. Lu, B. Nicholas, S.M. Ranganathan, Int. J. Bifurc. Chaos 9 (1999) 287;

[16] G. Feichtinger, in: G. Haag, U. Mueller, K.G. Troitzsch (Eds.), Economic Evolution and Demographic Change, Springer, Berlin, 1992;

[17] D. Wolf, J. B. Swift, Physica D 16, 285-317 (1985);

[18] M.T. Rosenstein, J. J. Collins,, Physica D 65,  pp117-134 (1993);

[19] M. Bulinski, M. L. Pascu, Chaos in laser diode light emission, Romanian Journal of Optoelectronics, Vol9, Nr.2, pp.1-34 (2001);

[20] M.Bulinski, M.L.Pascu, I.R. Andrei, “Phase Synchronization and Coding Chaos with Semiconductors Lasers”, Journal of Optoelectronics and Advanced Materials-INOE, vol.6, No. 1, March 2004, p. 77-86.

[21] M. Bulinski, C. Costea, I.R.Andrei,The numerical modeling of data coding transmission between two multi-mod laser diodes operating with external cavity”, Sesiunea Anuala a Facultatii de Fizica, Universitatea din Bucuresti, 27 Mai 2005,  Bucuresti – Romania.

[22] R. Lang, K. Kobayashi, IEEE J. QE-16, 3, 347 (1980).

[23] Jasper Mork, Bjarne Tromborg, Peter L. Christiansen, IEEE Vol. 24, N0.2, pp123-133 (1988)

[24] F. Rogister, M. Sciamanna, A. Locquet, P. Mégret, O. Deparis, M. Blondel, Dynamical behavior of a multimode semiconductor laser subject to a single mode selective optical feedback, Conference on Laser and Electro-Optics (CLEO) Pacific Rim, vol. 2, pp. 170-171, Chiba (J), 15/07-19/07, 2001.

 

Partea III

 

[1] R.N. Mantegna, H.E. Stanley, Introduction to Econophysics: Correlations Complexity in Finance; Cambridge University Press, Cambridge, 1999;

[2] H. Haken, Synergetics. An Introduction, Springer, Heidelberg,

[3] H.W. Lorenz, Nonlinear Dynamical Equations and Chaotic Economy, Springer, Berlin, 1993;

[4] D. Stau_er, D. Sornette, Physica A 271 (1999) 496;

[5] Janusz A. Holyst, Krzysztof Urbanowicz, Chaos control in economical model by time-delayed feedback method, Physica A 287 (2000) 587;

[6] J.A. Holyst, T. Hagel, G. Haag, Chaos, Solitons Fractals 8 (1997) 1489;

[7] G. Feichtinger, in: G. Haag, U. Mueller, K.G. Troitzsch (Eds.), Economic Evolution and Demographic Change, Springer, Berlin, 1992;

[8] E. Ott, C. Grebogi, J.A. Yorke, Phys. Rev. Lett. 64 (1990) 1196;

[9] T. Kapitaniak, Controlling Chaos, Academic Press, New York, 1996;

[10] Dressler. U, Nitsche G, Contoling chaos using time delaz coordinates, Phys. Rev. Lett. 68 1-4 (1992);

[11] K. Pyragas, Phys. Lett. A 170 (1992) 421;

[12] W. Just, E. Reibold, K. Kacperski, P. Fronczak, J.A. Ho lyst, H. Benner, Phys. Rev. E 61 (2000) 5045;

[13] G. Chen, J. Lu, B. Nicholas, S.M. Ranganathan, Int. J. Bifurc. Chaos 9 (1999) 287;

[14] K. Matsumoto and I. Tsuda, Noise-induced order, J. Star. Phys. 31:87-106 (1983)

[15] K. Matsumoto, Noise-induced order II, J. Stat. Phys. 34:111-127 (1984)

[16] I. Tsuda and K. Matsumoto, Noise-induced order--complexity theoretical digression, Chaos and Statistical Methods, Y. Kuramoto, ed. (Springer, Berlin, 1984), pp. 102-108

[17] K. Matsumoto and I. Tsuda, Extended information in one-dimensional maps, Physica 26D:347 357 (1987)

[18] Shinji Doi, A Chaotic Map with a Flat Segment Can Produce a Noise-Induced Order, Journal of Statistical Physics, Vol. 55, Nos. 5/6, 1989

[19] Shiller, R. J. (1989) Market Volatility (MIT Press, Cambridge, MA);

[20] Brock, W. A. & Hommes, C. H. (1997) in System Dynamics in Economic and Financial Models, eds. Heij, C., Schumacher, H. & Hanzon, B. (Wiley, New York),

[21] Paul D.  McNelis, Neural Networks in Finance: Gaining Predictive Edge in the Market, Elsevier Science, 2005

[22] H. Kantz, T. Schreiber, Nonlinear time series analysis, Cambridge University Press, Cambridge, 1997

[23] J.P. Eckmann, S.O. Kamphorst, D. Ruelle, Europhys. Lett.4, 1973 (1987)

[24] E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993)

[25] Julien Clinton Sprott, Chaos and Time-Series Analysis, Oxford University Press (2004)

[26] Holger Kantz, Thomas Schreiber, Nonlinear Time Series Analysis, Cambridge University Press (2004)

[27] Norbert Marwan, Matlab Toolbox – CRPTool, AMRON, Potsdam University, Germany