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Multifractality in human heartbeat dynamics

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  1. Loutridis, S.J., 2007. "An algorithm for the characterization of time-series based on local regularity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 383-398.
  2. Kavasseri, Rajesh G. & Nagarajan, Radhakrishnan, 2005. "A multifractal description of wind speed records," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 165-173.
  3. Jiao, Dezhao & Wang, Zikuan & Li, Jin & Feng, Feilong & Hou, Fengzhen, 2020. "The chaotic characteristics detection based on multifractal detrended fluctuation analysis of the elderly 12-lead ECG signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
  4. Mirzayof, Dror & Ashkenazy, Yosef, 2010. "Preservation of long range temporal correlations under extreme random dilution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5573-5580.
  5. Núñez-Acosta, Elisa & Lerma, Claudia & Márquez, Manlio F. & José, Marco V., 2012. "Mutual information analysis reveals bigeminy patterns in Andersen–Tawil syndrome and in subjects with a history of sudden cardiac death," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 693-707.
  6. Vitanov, Nikolay K. & Sakai, Kenshi & Dimitrova, Zlatinka I., 2008. "SSA, PCA, TDPSC, ACFA: Useful combination of methods for analysis of short and nonstationary time series," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 187-202.
  7. Schumann, Aicko Y. & Kantelhardt, Jan W., 2011. "Multifractal moving average analysis and test of multifractal model with tuned correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(14), pages 2637-2654.
  8. Knežević, Andrea & Martinis, Mladen & Krstačić, Goran & Vargović, Emil, 2005. "Changes in multifractal properties for stable angina pectoris," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 358(2), pages 505-515.
  9. Ausloos, Marcel & Nedic, Olgica & Dekanski, Aleksandar & Mrowinski, Maciej J. & Fronczak, Piotr & Fronczak, Agata, 2017. "Day of the week effect in paper submission/acceptance/rejection to/in/by peer review journals. II. An ARCH econometric-like modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 462-474.
  10. Wang, Jian & Shao, Wei & Kim, Junseok, 2020. "Multifractal detrended cross-correlation analysis between respiratory diseases and haze in South Korea," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
  11. Luis A. N. Amaral & P. Gopikrishnan & Kaushik Matia & Vasiliki Plerou & H. E. Stanley, 2001. "Application of statistical physics methods and conceptsto the study of science & technology systems," Scientometrics, Springer;Akadémiai Kiadó, vol. 51(1), pages 9-36, April.
  12. Yang, Xiaodong & Ning, Xinbao & Wang, Jun, 2007. "Multifractal analysis of human synchronous 12-lead ECG signals using multiple scale factors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 413-422.
  13. Zhang, Yin & Li, Jin & Wang, Jun, 2017. "Exploring stability of entropy analysis for signal with different trends," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 60-67.
  14. Sviridova, Nina & Sakai, Kenshi, 2015. "Human photoplethysmogram: new insight into chaotic characteristics," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 53-63.
  15. Li, Jin & Chen, Chen & Yao, Qin & Zhang, Peng & Wang, Jun & Hu, Jing & Feng, Feilong, 2018. "The effect of circadian rhythm on the correlation and multifractality of heart rate signals during exercise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 1207-1213.
  16. Stanley, H.Eugene, 2000. "Exotic statistical physics: Applications to biology, medicine, and economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(1), pages 1-17.
  17. Yao, Wenpo & Yao, Wenli & Wang, Jun, 2021. "A novel parameter for nonequilibrium analysis in reconstructed state spaces," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
  18. Makowiec, Danuta & Dudkowska, Aleksandra & Gała̧ska, Rafał & Rynkiewicz, Andrzej, 2009. "Multifractal estimates of monofractality in RR-heart series in power spectrum ranges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3486-3502.
  19. Georgette Stern & Julia Beel & Béla Suki & Mike Silverman & Jenny Westaway & Mateja Cernelc & David Baldwin & Urs Frey, 2009. "Long-Range Correlations in Rectal Temperature Fluctuations of Healthy Infants during Maturation," PLOS ONE, Public Library of Science, vol. 4(7), pages 1-9, July.
  20. Yuxin Zhao & Shuai Chang & Chang Liu, 2015. "Multifractal theory with its applications in data management," Annals of Operations Research, Springer, vol. 234(1), pages 133-150, November.
  21. Wu, Yue & Shang, Pengjian & Chen, Shijian, 2019. "Modified multifractal large deviation spectrum based on CID for financial market system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1331-1342.
  22. Stanis{l}aw Dro.zd.z & Jaros{l}aw Kwapie'n & Pawe{l} O'swik{e}cimka & Tomasz Stanisz & Marcin Wk{a}torek, 2020. "Complexity in economic and social systems: cryptocurrency market at around COVID-19," Papers 2009.10030, arXiv.org.
  23. Wesfreid, Eva & Billat, Véronique, 2012. "Randomness and changes of heart rate and respiratory frequency during high altitude mountain ascent without acclimatization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1575-1590.
  24. Zhou, Wei-Xing, 2012. "Finite-size effect and the components of multifractality in financial volatility," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 147-155.
  25. Stanley, H.E & Amaral, L.A.N & Gopikrishnan, P & Ivanov, P.Ch & Keitt, T.H & Plerou, V, 2000. "Scale invariance and universality: organizing principles in complex systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 60-68.
  26. Paolo Castiglioni & Davide Lazzeroni & Paolo Coruzzi & Andrea Faini, 2018. "Multifractal-Multiscale Analysis of Cardiovascular Signals: A DFA-Based Characterization of Blood Pressure and Heart-Rate Complexity by Gender," Complexity, Hindawi, vol. 2018, pages 1-14, January.
  27. Yuan, Qianshun & Semba, Sherehe & Zhang, Jing & Weng, Tongfeng & Gu, Changgui & Yang, Huijie, 2021. "Multi-scale transition matrix approach to time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
  28. Guerrero, Alexandra & Smith, Leonard A., 2005. "A maximum likelihood estimator for long-range persistence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 619-632.
  29. França, Lucas Gabriel Souza & Montoya, Pedro & Miranda, José Garcia Vivas, 2019. "On multifractals: A non-linear study of actigraphy data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 612-619.
  30. Jovanovic, Tijana & Mejía, Alfonso & Gall, Heather & Gironás, Jorge, 2016. "Effect of urbanization on the long-term persistence of streamflow records," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 208-221.
  31. Pavón-Domínguez, P. & Serrano, S. & Jiménez-Hornero, F.J. & Jiménez-Hornero, J.E. & Gutiérrez de Ravé, E. & Ariza-Villaverde, A.B., 2013. "Multifractal detrended fluctuation analysis of sheep livestock prices in origin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4466-4476.
  32. Wang, Jian & Kim, Junseok & Shao, Wei & Nam, SeungHyon & Hong, Soon-Cheol, 2021. "Effect of oxytocin injection on fetal heart rate based on multifractal analysis," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
  33. Long, Yu, 2013. "Visibility graph network analysis of gold price time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3374-3384.
  34. Dudkowska, A. & Makowiec, D., 2004. "Sleep and wake phase of heart beat dynamics by artificial insymmetrised patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 174-180.
  35. Stanley, H.E. & Amaral, L.A.N. & Goldberger, A.L. & Havlin, S. & Ivanov, P.Ch. & Peng, C.-K., 1999. "Statistical physics and physiology: Monofractal and multifractal approaches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 309-324.
  36. Rodriguez, Eduardo & Echeverria, Juan C. & Alvarez-Ramirez, Jose, 2009. "Fractality in electrocardiographic waveforms for healthy subjects and patients with ventricular fibrillation," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1046-1054.
  37. Shi, Wen & Zou, Rui-biao & Wang, Fang & Su, Le, 2015. "A new image segmentation method based on multifractal detrended moving average analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 197-205.
  38. Struzik, Zbigniew R., 2001. "Wavelet methods in (financial) time-series processing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 296(1), pages 307-319.
  39. Pyko, Nikita S. & Pyko, Svetlana A. & Markelov, Oleg A. & Karimov, Artur I. & Butusov, Denis N. & Zolotukhin, Yaroslav V. & Uljanitski, Yuri D. & Bogachev, Mikhail I., 2018. "Assessment of cooperativity in complex systems with non-periodical dynamics: Comparison of five mutual information metrics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 1054-1072.
  40. Mukherjee, Sayan & Banerjee, Santo & Rondoni, Lamberto, 2018. "Dispersive graded entropy on computing dynamical complexity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 131-140.
  41. Xu, Yinlin & Ma, Xiaofei & Ning, Xinbao, 2007. "Estimation of ApEn for short-term HFECG based on multi-resolution analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 401-408.
  42. Wang, Yiduan & Zheng, Shenzhou & Zhang, Wei & Wang, Guochao & Wang, Jun, 2018. "Fuzzy entropy complexity and multifractal behavior of statistical physics financial dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 486-498.
  43. West, Bruce J. & Latka, Miroslaw & Glaubic-Latka, Marta & Latka, Dariusz, 2003. "Multifractality of cerebral blood flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 453-460.
  44. Li, Jin & Hu, Jing & Zhang, Yinhong & Zhang, Xiaofeng, 2011. "Dynamical complexity changes during two forms of meditation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2381-2387.
  45. Chen, Yun & Yang, Hui, 2012. "Multiscale recurrence analysis of long-term nonlinear and nonstationary time series," Chaos, Solitons & Fractals, Elsevier, vol. 45(7), pages 978-987.
  46. Mukli, Peter & Nagy, Zoltan & Eke, Andras, 2015. "Multifractal formalism by enforcing the universal behavior of scaling functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 150-167.
  47. Kaufman, Miron & Zurcher, Ulrich & Sung, Paul S., 2007. "Entropy of electromyography time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(2), pages 698-707.
  48. Wang, Fang & Wang, Lin & Chen, Yuming, 2018. "Quantifying the range of cross-correlated fluctuations using a q–L dependent AHXA coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 454-464.
  49. Rodriguez, Eduardo & Echeverria, Juan C. & Alvarez-Ramirez, Jose, 2007. "Detrended fluctuation analysis of heart intrabeat dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 429-438.
  50. Olivares, Felipe & Zanin, Massimiliano, 2022. "Corrupted bifractal features in finite uncorrelated power-law distributed data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
  51. Conlon, Thomas & Cotter, John & Gençay, Ramazan, 2018. "Long-run wavelet-based correlation for financial time series," European Journal of Operational Research, Elsevier, vol. 271(2), pages 676-696.
  52. Timashev, Serge F. & Panischev, Oleg Yu. & Polyakov, Yuriy S. & Demin, Sergey A. & Kaplan, Alexander Ya., 2012. "Analysis of cross-correlations in electroencephalogram signals as an approach to proactive diagnosis of schizophrenia," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1179-1194.
  53. Vitanov, Nikolay K. & Hoffmann, Norbert P. & Wernitz, Boris, 2014. "Nonlinear time series analysis of vibration data from a friction brake: SSA, PCA, and MFDFA," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 90-99.
  54. Chauveau, Julien & Rousseau, David & Richard, Paul & Chapeau-Blondeau, François, 2010. "Multifractal analysis of three-dimensional histogram from color images," Chaos, Solitons & Fractals, Elsevier, vol. 43(1), pages 57-67.
  55. Ling-Yun He, 2010. "Is Price Behavior Scaling and Multiscaling in a Dealer Market? Perspectives from Multi-Agent Based Experiments," Computational Economics, Springer;Society for Computational Economics, vol. 36(3), pages 263-282, October.
  56. Yan, Bo & Palit, Sanjay K. & Mukherjee, Sayan & Banerjee, Santo, 2019. "Signature of complexity in time–frequency domain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
  57. Li, Yu & Wang, Jun & Li, Jin & Liu, Dazhao, 2015. "Effect of extreme data loss on heart rate signals quantified by entropy analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 651-658.
  58. Vitanov, Nikolay K. & Yankulova, Elka D., 2006. "Multifractal analysis of the long-range correlations in the cardiac dynamics of Drosophila melanogaster," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 768-775.
  59. da Silva Filho, Antônio Carlos & Maganini, Natália Diniz & de Almeida, Eduardo Fonseca, 2018. "Multifractal analysis of Bitcoin market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 954-967.
  60. Saeed Aligholi & Manoj Khandelwal, 2022. "Order of Intermittent Rock Fractured Surfaces," Sustainability, MDPI, vol. 15(1), pages 1-7, December.
  61. Mahmoodi, Korosh & West, Bruce J. & Grigolini, Paolo, 2020. "On the dynamical foundation of multifractality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
  62. Pont, Oriol & Turiel, Antonio & Pérez-Vicente, Conrad J., 2009. "Empirical evidences of a common multifractal signature in economic, biological and physical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2025-2035.
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  65. Damian G Kelty-Stephen, 2018. "Multifractal evidence of nonlinear interactions stabilizing posture for phasmids in windy conditions: A reanalysis of insect postural-sway data," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-21, August.
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  68. Pawe{l} O'swik{e}cimka & Stanis{l}aw Dro.zd.z & Mattia Frasca & Robert Gk{e}barowski & Natsue Yoshimura & Luciano Zunino & Ludovico Minati, 2020. "Wavelet-based discrimination of isolated singularities masquerading as multifractals in detrended fluctuation analyses," Papers 2004.03319, arXiv.org.
  69. Ana Gavrovska & Goran Zajić & Vesna Bogdanović & Irini Reljin & Branimir Reljin, 2017. "Identification of S1 and S2 Heart Sound Patterns Based on Fractal Theory and Shape Context," Complexity, Hindawi, vol. 2017, pages 1-9, November.
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  79. Liao, Fuyuan & O’Brien, William D. & Jan, Yih-Kuen, 2013. "Assessing complexity of skin blood flow oscillations in response to locally applied heating and pressure in rats: Implications for pressure ulcer risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4905-4915.
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  84. Struzik, Zbigniew R., 2003. "Econonatology: the physics of the economy in labour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 344-351.
  85. Bickel, David R. & Lai, Dejian, 2001. "Asymptotic distribution of time-series intermittency estimates: applications to economic and clinical data," Computational Statistics & Data Analysis, Elsevier, vol. 37(4), pages 419-431, October.
  86. Shi, Wenbin & Shang, Pengjian & Wang, Jing, 2015. "Large deviations estimates for the multiscale analysis of traffic speed time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 562-570.
  87. Yang, Xiaodong & Du, Sidan & Ning, Xinbao & Bian, Chunhua, 2008. "Mass exponent spectrum analysis of human ECG signals and its application to complexity detection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3546-3554.
  88. Struzik, Zbigniew R. & van Wijngaarden, Willem J. & Castelo, Robert, 2002. "Reasoning from non-stationarity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 246-255.
  89. Ian D Colley & Roger T Dean, 2019. "Origins of 1/f noise in human music performance from short-range autocorrelations related to rhythmic structures," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-15, May.
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  93. Ausloos, Marcel & Nedic, Olgica & Dekanski, Aleksandar, 2016. "Day of the week effect in paper submission/acceptance/rejection to/in/by peer review journals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 197-203.
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