Physical approach to elucidate stability and instability issues, and Elliott waves in financial systems: S &amp; P-500 index as case study

Güngör Gündüz; Güngör Gündüz

doi:10.3934/QFE.2021008

Quantitative Finance and Economics

2021, Volume 5, Issue 1: 163-197. doi: 10.3934/QFE.2021008

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Research article

Physical approach to elucidate stability and instability issues, and Elliott waves in financial systems: S & P-500 index as case study

Güngör Gündüz ^,

Kimya Mühendisliği Bölümü, Orta Doğu Teknik Üniversitesi, Ankara 06810, Turkey

Received: 07 February 2021 Accepted: 22 February 2021 Published: 02 March 2021
JEL Codes: F39, C02, C62

- stock market,
- stability,
- instability,
- entropy,
- Elliott waves,
- Fibonacci,
- golden ratio,
- scattering diagram
Citation: Güngör Gündüz. Physical approach to elucidate stability and instability issues, and Elliott waves in financial systems: S & P-500 index as case study[J]. Quantitative Finance and Economics, 2021, 5(1): 163-197. doi: 10.3934/QFE.2021008

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References

[1]	Atsalakis GS, Dimitrakakis E, Zopounidis CD (2011) Elliott Wave Theory and neuro-fuzzy systems, in stock market prediction: The WASP system. Expert Syst Appl 38: 9196-9206. doi: 10.1016/j.eswa.2011.01.068
[2]	Caetano MAL, Yoneyama T (2015) An autocatalytic network model for stock markets. Phys A 419: 122-127. doi: 10.1016/j.physa.2014.10.052
[3]	Casti LC (2002) The Waves of Life: The Elliott Wave Principle and the Patterns of Everyday Events. Complexity 7: 12-17.
[4]	Chatterjee A, Ayadi OF, Maniam B (2002) the applications of the Fibonacci sequence and Elliott wave theory in predicting the security price movements: a survey. J Bank Financ 1: 65-76.
[5]	Chen TL, Cheng CH, Teoh HJ (2007) Fuzzy time-series based on Fibonacci sequence for stock price forecasting. Phys A 380: 377-390. doi: 10.1016/j.physa.2007.02.084
[6]	Chendroyaperumal C, Karthikeyan B (2011) Empirical Verification of Elliott Wave Theory in Indian Stock Market.
[7]	Courtois OL, Walter C (2014) Extreme Financial Risks and Asset Allocation, Imperial College Press. doi: 10.1142/p907
[8]	D'Angelo E, Grimaldi G (2017) The effectiveness of the Elliott wave theory to forcast the financial markets: Evidence from the currency market. Int Bus Res 10: 1-18. doi: 10.5539/ibr.v10n6p1
[9]	Davis M, Etheridge A (2006) Louis Bachelier's Theory of Speculation, Princeton University Press.
[10]	Duan H, Xiao X, Yang J, et al. (2018) Elliott wave theory and the Fibonacci sequence-gray model and their application in Chinese stock market. J Intell Fuzzy Syst 34: 1813-1825. doi: 10.3233/JIFS-17108
[11]	Dupree TH (1966) A perturbation theory for strong plasma turbulence. Phys Fluids 9: 1773-1782. doi: 10.1063/1.1761932
[12]	Frost AJ, Prechter RR (1999) Elliott Wave Principle, John Wiley & Sons.
[13]	Gehm F (1983) Who Is R.N. Elliott and Why Is He Making Waves? Financ Anal J, 51-57. doi: 10.2469/faj.v39.n1.51
[14]	Glover K, Hulley H, Peskir G (2013) Three-Dimensional Brownian Motion and the Golden Ratio. Rule Ann Appl Prob 23: 895-922. doi: 10.1214/12-AAP859
[15]	Goodman JA (2017) The arc principle what Elliott didn't know. Mod Trader 529: 60-62.
[16]	Greenblatt J (2013) Elliott waves, In: Greenblatt J., Author, Breakthrough Strategies for Predicting Any Market: Charting Elliott Wave, Lucas, Fibonacci and Time for Profit, Chapter 2.
[17]	Gündüz G (1996) Time dependent nonlinear growth theory of linear chains. Phys A 234: 386-406. doi: 10.1016/S0378-4371(96)00283-X
[18]	Gündüz G (2018) Pattern formation in time series systems due to viscoelastic behavior: Case studies in uniform distribution, normal distribution, stock market index, and music. Int J Mod Phys C 29: 1850085. doi: 10.1142/S0129183118500857
[19]	Gündüz G, Gündüz A (2017) Viscoelasticity and pattern formations in stock market indices. Eur Phys J B 90: 104. doi: 10.1140/epjb/e2017-70711-x
[20]	Gündüz G, Gündüz Y (2016) A thermodynamical view on asset pricing. Int Rev Financ Anal 47: 310-327. doi: 10.1016/j.irfa.2016.01.013
[21]	Gündüz G, Ma BM (1979) Strong turbulence theory for the Boltzmann plasma under strong turbulence and the moment equations. Plasma Phys 21: 275-281. doi: 10.1088/0032-1028/21/3/007
[22]	Hattori M, Abea S (2016) Path probability of stochastic motion: A functional approach. Phys A 451: 198-204. doi: 10.1016/j.physa.2016.01.053
[23]	Ilalan D (2016) Elliott wave principle and the corresponding fractional Brownian motion in stock markets: Evidence from Nikkei 225 index. Chaos Solitons Fractals 92: 137-141. doi: 10.1016/j.chaos.2016.09.018
[24]	Ivanova I (2019) The Dynamics of Financial Markets: Fibonacci numbers, Elliott waves, and solitons. arXiv: 1912.11216.
[25]	Jain S, Krischna S (2003) Graph theory and the evolution of autocatalytic networks, In: Bornholdt S, Schuster HG, Authors, Handbook of Graphs and Networks-From Genome to The Internet, Wiley-VCH, Berlin.
[26]	Jiang J, Gu R (2016) Using Rényi parameter to improve the predictive power of singular value decomposition entropy on stock market. Phys A 448: 254-264. doi: 10.1016/j.physa.2015.12.070
[27]	Kirkpatrick Ⅱ CD, Dahlquist J (2011) Technical Analysis, Second Edition, Chapter 20, Pearson Education Inc.
[28]	Kotyrba M, Volna E, Janosek M, et al. (2013) Methodology for Elliott Waves Pattern Recognition, In: Rekdalsbakken W., Bye R.T., Zhang H., Authors, Proceedings, 27th European Conference on Modelling and Simulation, ECMS 2013: May 27th-May 30th, Ålesund, Norway, European Council for Modelling and Simulation.
[29]	Kyal A (2017-18) Understanding Relationship Between Indian Equity Index, Nifty and Currency Market: An Elliott Wave Based Time Cycle Analysis. Prajnan 46: 281-290.
[30]	Magazzino C, Mele M, Prisco G (2012) The Elliott's Wave Theory: Is it true during the financial crisis? J Money Invest Bank 24: 100-108.
[31]	Mandelbrot BB (1983) The Fractal Geometry of Nature, W.H. Freeman and Company.
[32]	Mandelbrot BB (1997) Fractals and Scaling in Finance, Springer-Verlag, New York Inc.
[33]	Mantegna RN, Stanley HE (2000) An Introduction to Econophysics: Correlations and Complexity in Finance, Cambridge University Press.
[34]	Marañon M, Kumral M (2018) Exploring the Elliott Wave Principle to interpret metal commodity price cycles. Resour Policy 5: 125-138. doi: 10.1016/j.resourpol.2018.06.010
[35]	Matteo TD (2007) Multi-scaling in finance. Quant Financ 7: 21-36. doi: 10.1080/14697680600969727
[36]	Montagna G, Nicrosini O (2002) Efficient option pricing with path integral. Eur Phys J B 27: 249-255.
[37]	Neftçi S (2000) An Introduction to the Mathematics of Financial Derivatives, Academic Press, 2nd edition.
[38]	Patel H, Modi H (2018) The Elliott Wave Principle and its Applications in Security. Anal Res Rev J Stat 7: 1-6.
[39]	Peitgen HO, Jürgens H, Saupe D (1992) Chaos and Fractals, Springer-Verlag.
[40]	Ramli MF, Junoh AK, Muhamad WZAW, et al. (2018) Elliott Wave Pattern Recognition for Forecasting GBP/USD Foreign Exchange Market. J Telecommun Electron Computer Eng 10: 31-35.
[41]	Reich PN (2017) The Elliott wave principle. Modern Trader 530: 66-68.
[42]	Ribeiro SCA (2019) Elliott's wave theory in the field of econophysics and its application to the PSI20 in the context of crisis. Studio de Economia Aplicada 37: 41-53.
[43]	Richmond P, Mimkes J, Hutzler S (2013) Econophysics and Physical Economics, Oxford University Press. doi: 10.1093/acprof:oso/9780199674701.001.0001
[44]	Rosen SL (1993) Fundamental Principles of Polymeric Materials, Chapter 13, Wiley-Interscience.
[45]	Sattari R, Dehkharghani AA, Ahangari K (2020) Copper Price Prediction using Wave Count with Contribution of Elliott Waves. J Mining Environ (JME) 11: 825-835.
[46]	Tirea M, Tandau I, Negru V (2012) Stock Market Multi-Agent Recommendation System Based on the Elliott Wave Principle, In: Quirchmayr G., Basl J., You I., Xu L., Weippl E., Authors, Multidisciplinary Research and Practice for Information System, CD-A0RES 2012, Lecture Notes in Computer Science, Springer.
[47]	Tirea M, Negru V (2016) Behavioral Trading System-Detecting Crisis, Risk and Stability in Financial Markets, 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Comupting, IEEE
[48]	Vishvaksenan KS, Mithra K, Kalidoss R, et al. (2016) Experimental Study on Elliott Wave Theory for Handoff Prediction. Fluctuation Noise Lett 15: 1650025. doi: 10.1142/S0219477516500255
[49]	Volna E, Kotyrba M, Jarušek R (2013) Prediction by Means of Elliott Waves Recognition, In: Zelinka I., Rössler O.E., Snášel V., Abraham A., and Corchado E.S., Authors, Nostradamus: Modern Methods of Prediction, Modeling and Analysis of Nonlinear Systems, Springer.
[50]	Wang ZW, Che G, Xiao Y, et al. (2013) Research of the Elliott Wave Theory Applications Based on CBR, In: Third International Conference on Intelligent System Design and Engineering Applications, Hong Kong, China, IEEE.
[51]	Weinstock (1969) Formulation of a statistical theory of strong plasma turbulence. J Phys Fluids 12: 1045-1058. doi: 10.1063/1.2163666
[52]	Ya YZ (2010) Financial Rogue Waves. Commun Theor Phys 54: 947-949. doi: 10.1088/0253-6102/54/5/31
[53]	Yu L (2013) Visibility graph network analysis of gold price time series. Phys A 392: 3374-3384. doi: 10.1016/j.physa.2013.03.063

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