Complexity modeling and analysis of chaos and other fluctuating phenomena

Brechtl, Jamieson; Xie, Xie; Liaw, Peter K.; Zinkle, Steven J.

doi:10.1016/j.chaos.2018.09.005

Title: Complexity modeling and analysis of chaos and other fluctuating phenomena

Authors:

Brechtl, Jamieson; Xie, Xie; Liaw, Peter K.;

Publication Date:: 2018-11-01

Sponsoring Org.:: USDOE

OSTI Identifier:: 1636912

Grant/Contract Number:: FE-00011194

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Chaos, Solitons and Fractals

Additional Journal Information:: Journal Name: Chaos, Solitons and Fractals Journal Volume: 116 Journal Issue: C; Journal ID: ISSN 0960-0779

Publisher:: Elsevier

Country of Publication:: United Kingdom

Language:: English

Citation Formats


                    Brechtl, Jamieson, Xie, Xie, Liaw, Peter K., and Zinkle, Steven J. Complexity modeling and analysis of chaos and other fluctuating phenomena.  United Kingdom: N. p., 2018. 
Web.  doi:10.1016/j.chaos.2018.09.005.

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                    Brechtl, Jamieson, Xie, Xie, Liaw, Peter K., & Zinkle, Steven J. Complexity modeling and analysis of chaos and other fluctuating phenomena.  United Kingdom.  https://doi.org/10.1016/j.chaos.2018.09.005

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                    Brechtl, Jamieson, Xie, Xie, Liaw, Peter K., and Zinkle, Steven J. Thu .  
"Complexity modeling and analysis of chaos and other fluctuating phenomena".  United Kingdom.  https://doi.org/10.1016/j.chaos.2018.09.005.

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@article{osti_1636912,

  title        = {Complexity modeling and analysis of chaos and other fluctuating phenomena},

  author       = {Brechtl, Jamieson and Xie, Xie and Liaw, Peter K. and Zinkle, Steven J.},

  abstractNote = {},

  doi          = {10.1016/j.chaos.2018.09.005},

  journal      = {Chaos, Solitons and Fractals},

  number       = C,

  volume       = 116,

  place        = {United Kingdom},

  year         = {2018},

  month        = {11}

}

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https://doi.org/10.1016/j.chaos.2018.09.005

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Works referenced in this record:

A Mathematical Theory of Communication
journal, July 1948

Shannon, C. E.
Bell System Technical Journal, Vol. 27, Issue 3
DOI: 10.1002/j.1538-7305.1948.tb01338.x

A study of coupled logistic maps and their usefulness for modelling physico-chemical processes
journal, January 1987

Ferretti, A.; Rahman, N. K.
Chemical Physics Letters, Vol. 133, Issue 2
DOI: 10.1016/0009-2614(87)87039-2

Logistic map: A possible random-number generator
journal, April 1995

Phatak, S. C.; Rao, S. Suresh
Physical Review E, Vol. 51, Issue 4
DOI: 10.1103/PhysRevE.51.3670

Multiscale entropy-based analysis and processing of EEG signal during watching 3DTV
journal, September 2018

Chen, Chunxiao; Li, Jian; Lu, Xiong
Measurement, Vol. 125
DOI: 10.1016/j.measurement.2018.05.017

Fractional derivatives of Weierstrass-type functions
journal, December 1996

Zähle, M.; Ziezold, H.
Journal of Computational and Applied Mathematics, Vol. 76, Issue 1-2
DOI: 10.1016/S0377-0427(96)00110-0

On the connection between the order of fractional calculus and the dimensions of a fractal function
journal, January 2005

Yao, K.; Su, W. Y.; Zhou, S. P.
Chaos, Solitons & Fractals, Vol. 23, Issue 2
DOI: 10.1016/j.chaos.2004.05.037

Intermittent transition to turbulence in dissipative dynamical systems
journal, June 1980

Pomeau, Yves; Manneville, Paul
Communications in Mathematical Physics, Vol. 74, Issue 2
DOI: 10.1007/BF01197757

Multiscale entropy analysis of biological signals
journal, February 2005

Costa, Madalena; Goldberger, Ary L.; Peng, C. -K.
Physical Review E, Vol. 71, Issue 2
DOI: 10.1103/PhysRevE.71.021906

Sample Entropy Analysis of Noisy Atrial Electrograms during Atrial Fibrillation
journal, June 2018

Cirugeda-Roldán, Eva María; Molina Picó, Antonio; Novák, Daniel
Computational and Mathematical Methods in Medicine, Vol. 2018
DOI: 10.1155/2018/1874651

Physiological time-series analysis using approximate entropy and sample entropy
journal, June 2000

Richman, Joshua S.; Moorman, J. Randall
American Journal of Physiology-Heart and Circulatory Physiology, Vol. 278, Issue 6
DOI: 10.1152/ajpheart.2000.278.6.H2039

Some combinatorial aspects of discrete non-linear population dynamics
journal, December 2016

Grosjean, Nicolas; Huillet, Thierry
Chaos, Solitons & Fractals, Vol. 93
DOI: 10.1016/j.chaos.2016.10.004

Nanoscale serration and creep characteristics of Al0.5CoCrCuFeNi high-entropy alloys
journal, July 2018

Chen, Shuying; Li, Weidong; Xie, Xie
Journal of Alloys and Compounds, Vol. 752
DOI: 10.1016/j.jallcom.2018.04.137

The complexity of daily life walking in older adult community-dwelling fallers and non-fallers
journal, June 2016

Ihlen, Espen A. F.; Weiss, Aner; Bourke, Alan
Journal of Biomechanics, Vol. 49, Issue 9
DOI: 10.1016/j.jbiomech.2016.02.055

The Multiscale Entropy Algorithm and Its Variants: A Review
journal, May 2015

Humeau-Heurtier, Anne
Entropy, Vol. 17, Issue 5
DOI: 10.3390/e17053110

On the Hausdorff dimension of some graphs
journal, February 1986

Mauldin, R. Daniel; Williams, S. C.
Transactions of the American Mathematical Society, Vol. 298, Issue 2
DOI: 10.1090/S0002-9947-1986-0860394-7

Approximate entropy as a measure of system complexity.
journal, March 1991

Pincus, S. M.
Proceedings of the National Academy of Sciences, Vol. 88, Issue 6
DOI: 10.1073/pnas.88.6.2297

Comparative study of the Portevin-Le Chatelier effect in interstitial and substitutional alloy
journal, June 2007

Sarkar, A.; Chatterjee, A.; Barat, P.
Materials Science and Engineering: A, Vol. 459, Issue 1-2
DOI: 10.1016/j.msea.2007.01.006

Period Three Begins
journal, October 2010

Zhang, Cheng
Mathematics Magazine, Vol. 83, Issue 4
DOI: 10.4169/002557010X521859

Serration and noise behaviors in materials
journal, October 2017

Zhang, Yong; Liu, Jun Peng; Chen, Shu Ying
Progress in Materials Science, Vol. 90
DOI: 10.1016/j.pmatsci.2017.06.004

On the relation between correlation dimension, approximate entropy and sample entropy parameters, and a fast algorithm for their calculation
journal, December 2012

Zurek, Sebastian; Guzik, Przemyslaw; Pawlak, Sebastian
Physica A: Statistical Mechanics and its Applications, Vol. 391, Issue 24
DOI: 10.1016/j.physa.2012.07.003

Simple statistics for complex Earthquake time distributions
journal, January 2018

Matcharashvili, Teimuraz; Hatano, Takahiro; Chelidze, Tamaz
Nonlinear Processes in Geophysics, Vol. 25, Issue 3
DOI: 10.5194/npg-25-497-2018

Stochastic feedback and the regulation of biological rhythms
journal, August 1998

Ivanov, P. Ch; Amaral, L. A. Nunes; Goldberger, A. L.
Europhysics Letters (EPL), Vol. 43, Issue 4
DOI: 10.1209/epl/i1998-00366-3

Designing a multi-scroll chaotic system by operating Logistic map with fractal process
journal, January 2017

Ben Slimane, Nabil; Bouallegue, Kais; Machhout, Mohsen
Nonlinear Dynamics, Vol. 88, Issue 3
DOI: 10.1007/s11071-017-3337-0

Time domains of and white noise fluctuations
journal, February 1991

Duong-Van, Minh
Physics Letters A, Vol. 152, Issue 8
DOI: 10.1016/0375-9601(91)90832-S

Quantifying complexity of financial short-term time series by composite multiscale entropy measure
journal, May 2015

Niu, Hongli; Wang, Jun
Communications in Nonlinear Science and Numerical Simulation, Vol. 22, Issue 1-3
DOI: 10.1016/j.cnsns.2014.08.038

Analysis of complex time series using refined composite multiscale entropy
journal, April 2014

Wu, Shuen-De; Wu, Chiu-Wen; Lin, Shiou-Gwo
Physics Letters A, Vol. 378, Issue 20
DOI: 10.1016/j.physleta.2014.03.034

Nonlinear dynamical complexity of agent-based stochastic financial interacting epidemic system
journal, August 2016

Lu, Yunfan; Wang, Jun
Nonlinear Dynamics, Vol. 86, Issue 3
DOI: 10.1007/s11071-016-2995-7

EMD based refined composite multiscale entropy analysis of complex signals
journal, March 2015

Wang, Jing; Shang, Pengjian; Xia, Jianan
Physica A: Statistical Mechanics and its Applications, Vol. 421
DOI: 10.1016/j.physa.2014.12.001

Chronic vagus nerve stimulation reverses heart rhythm complexity in patients with drug-resistant epilepsy: An assessment with multiscale entropy analysis
journal, June 2018

Liu, Hongyun; Yang, Zhao; Meng, Fangang
Epilepsy & Behavior, Vol. 83
DOI: 10.1016/j.yebeh.2018.03.035

Fractional differential equations as alternative models to nonlinear differential equations
journal, April 2007

Bonilla, B.; Rivero, M.; Rodríguez-Germá, L.
Applied Mathematics and Computation, Vol. 187, Issue 1
DOI: 10.1016/j.amc.2006.08.105

Controlling of chaotic motion by chaos and noise signals in a logistic map and a Bonhoeffer–van der Pol oscillator
journal, January 1995

Rajasekar, S.
Physical Review E, Vol. 51, Issue 1
DOI: 10.1103/PhysRevE.51.775

A new experimental approach to study the stability of logistic map
journal, August 2009

Rani, Mamta; Agarwal, Rashi
Chaos, Solitons & Fractals, Vol. 41, Issue 4
DOI: 10.1016/j.chaos.2008.08.022

Multiscale entropy analysis of resting-state magnetoencephalogram with tensor factorisations in Alzheimer's disease
journal, October 2015

Escudero, Javier; Acar, Evrim; Fernández, Alberto
Brain Research Bulletin, Vol. 119
DOI: 10.1016/j.brainresbull.2015.05.001

Financial Stress Through Complexity Science
journal, September 2016

Hemakom, Apit; Chanwimalueang, Theerasak; Carrion, Alicia
IEEE Journal of Selected Topics in Signal Processing, Vol. 10, Issue 6
DOI: 10.1109/JSTSP.2016.2581299

Aging and rejuvenation with fractional derivatives
journal, September 2004

Aquino, Gerardo; Bologna, Mauro; Grigolini, Paolo
Physical Review E, Vol. 70, Issue 3
DOI: 10.1103/PhysRevE.70.036105

Investigation of Portevin−Le Chatelier effect in HT-9 steel
journal, April 2015

Sarkar, Apu; Maloy, Sturat A.; Murty, Korukonda L.
Materials Science and Engineering: A, Vol. 631
DOI: 10.1016/j.msea.2015.02.022

Decreased resting-state brain signal complexity in patients with mild cognitive impairment and Alzheimer’s disease: a multi-scale entropy analysis
journal, January 2018

Li, Xuanyu; Zhu, Zhaojun; Zhao, Weina
Biomedical Optics Express, Vol. 9, Issue 4
DOI: 10.1364/BOE.9.001916

Fractional Mechanics of Elastic Solids: Continuum Aspects
journal, May 2017

Tarasov, Vasily E.
Journal of Engineering Mechanics, Vol. 143, Issue 5
DOI: 10.1061/(ASCE)EM.1943-7889.0001074

Fractional calculus and the evolution of fractal phenomena
journal, April 1999

Rocco, Andrea; West, Bruce J.
Physica A: Statistical Mechanics and its Applications, Vol. 265, Issue 3-4
DOI: 10.1016/S0378-4371(98)00550-0

Temporal Analysis of Cardiovascular and Respiratory Complexity by Multiscale Entropy Based on Symbolic Dynamics
journal, July 2018

Reulecke, Sina; Charleston-Villalobos, Sonia; Voss, Andreas
IEEE Journal of Biomedical and Health Informatics, Vol. 22, Issue 4
DOI: 10.1109/JBHI.2017.2761354

Fractional calculus ties the microscopic and macroscopic scales of complex network dynamics
journal, April 2015

West, B. J.; Turalska, M.; Grigolini, Paolo
New Journal of Physics, Vol. 17, Issue 4
DOI: 10.1088/1367-2630/17/4/045009

Multiscale Entropy Analysis of Complex Physiologic Time Series
journal, July 2002

Costa, Madalena; Goldberger, Ary L.; Peng, C. -K.
Physical Review Letters, Vol. 89, Issue 6
DOI: 10.1103/PhysRevLett.89.068102

Multiscale Entropy Analysis of Financial time Series
journal, December 2012

Xia, Jianan; Shang, Pengjian
Fluctuation and Noise Letters, Vol. 11, Issue 04
DOI: 10.1142/S0219477512500332

Multiscale entropy analysis of human gait dynamics
journal, December 2003

Costa, M.; Peng, C. -K.; L. Goldberger, Ary
Physica A: Statistical Mechanics and its Applications, Vol. 330, Issue 1-2
DOI: 10.1016/j.physa.2003.08.022

Time-dependent fractional dynamics with memory in quantum and economic physics
journal, August 2017

Tarasov, Vasily E.; Tarasova, Valentina V.
Annals of Physics, Vol. 383
DOI: 10.1016/j.aop.2017.05.017

MULTISCALE ENTROPY ANALYSIS OF THE PORTEVIN-LE CHATELIER EFFECT IN AN Al-2.5%Mg ALLOY
journal, September 2010

Sarkar, A.; Barat, P.; Mukherjee, P.
Fractals, Vol. 18, Issue 03
DOI: 10.1142/S0218348X10004944

The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus
journal, November 2007

Liang, Y. S.; Su, W. Y.
Chaos, Solitons & Fractals, Vol. 34, Issue 3
DOI: 10.1016/j.chaos.2006.01.124

Application of Multiscale Entropy in Mechanical Fault Diagnosis of High Voltage Circuit Breaker
journal, April 2018

Dou, Longjiang; Wan, Shuting; Zhan, Changgeng
Entropy, Vol. 20, Issue 5
DOI: 10.3390/e20050325

Complexities and entropies of periodic series with application to the transition to turbulence in the logistic map
journal, September 1984

Gouesbet, G.; Weill, M. E.
Physical Review A, Vol. 30, Issue 3
DOI: 10.1103/PhysRevA.30.1442

Time Series Analysis Using Composite Multiscale Entropy
journal, March 2013

Wu, Shuen-De; Wu, Chiu-Wen; Lin, Shiou-Gwo
Entropy, Vol. 15, Issue 3
DOI: 10.3390/e15031069

Long-range anticorrelations and non-Gaussian behavior of the heartbeat
journal, March 1993

Peng, C. -K.; Mietus, J.; Hausdorff, J. M.
Physical Review Letters, Vol. 70, Issue 9
DOI: 10.1103/PhysRevLett.70.1343

Bearing fault diagnosis using multi-scale entropy and adaptive neuro-fuzzy inference
journal, August 2010

Zhang, Long; Xiong, Guoliang; Liu, Hesheng
Expert Systems with Applications, Vol. 37, Issue 8
DOI: 10.1016/j.eswa.2010.02.118

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Title: Complexity modeling and analysis of chaos and other fluctuating phenomena

Citation Formats

A Mathematical Theory of Communication journal, July 1948

A study of coupled logistic maps and their usefulness for modelling physico-chemical processes journal, January 1987

Logistic map: A possible random-number generator journal, April 1995

Multiscale entropy-based analysis and processing of EEG signal during watching 3DTV journal, September 2018

Fractional derivatives of Weierstrass-type functions journal, December 1996

On the connection between the order of fractional calculus and the dimensions of a fractal function journal, January 2005

Intermittent transition to turbulence in dissipative dynamical systems journal, June 1980

Multiscale entropy analysis of biological signals journal, February 2005

Sample Entropy Analysis of Noisy Atrial Electrograms during Atrial Fibrillation journal, June 2018

Physiological time-series analysis using approximate entropy and sample entropy journal, June 2000

Some combinatorial aspects of discrete non-linear population dynamics journal, December 2016

Nanoscale serration and creep characteristics of Al0.5CoCrCuFeNi high-entropy alloys journal, July 2018

The complexity of daily life walking in older adult community-dwelling fallers and non-fallers journal, June 2016

The Multiscale Entropy Algorithm and Its Variants: A Review journal, May 2015

On the Hausdorff dimension of some graphs journal, February 1986

Approximate entropy as a measure of system complexity. journal, March 1991

Comparative study of the Portevin-Le Chatelier effect in interstitial and substitutional alloy journal, June 2007

Period Three Begins journal, October 2010

Serration and noise behaviors in materials journal, October 2017

On the relation between correlation dimension, approximate entropy and sample entropy parameters, and a fast algorithm for their calculation journal, December 2012

Simple statistics for complex Earthquake time distributions journal, January 2018

Stochastic feedback and the regulation of biological rhythms journal, August 1998

Designing a multi-scroll chaotic system by operating Logistic map with fractal process journal, January 2017

Time domains of and white noise fluctuations journal, February 1991

Quantifying complexity of financial short-term time series by composite multiscale entropy measure journal, May 2015

Analysis of complex time series using refined composite multiscale entropy journal, April 2014

Nonlinear dynamical complexity of agent-based stochastic financial interacting epidemic system journal, August 2016

EMD based refined composite multiscale entropy analysis of complex signals journal, March 2015

Chronic vagus nerve stimulation reverses heart rhythm complexity in patients with drug-resistant epilepsy: An assessment with multiscale entropy analysis journal, June 2018

Fractional differential equations as alternative models to nonlinear differential equations journal, April 2007

Controlling of chaotic motion by chaos and noise signals in a logistic map and a Bonhoeffer–van der Pol oscillator journal, January 1995

A new experimental approach to study the stability of logistic map journal, August 2009

Multiscale entropy analysis of resting-state magnetoencephalogram with tensor factorisations in Alzheimer's disease journal, October 2015

Financial Stress Through Complexity Science journal, September 2016

Aging and rejuvenation with fractional derivatives journal, September 2004

Investigation of Portevin−Le Chatelier effect in HT-9 steel journal, April 2015

Decreased resting-state brain signal complexity in patients with mild cognitive impairment and Alzheimer’s disease: a multi-scale entropy analysis journal, January 2018

Fractional Mechanics of Elastic Solids: Continuum Aspects journal, May 2017

Fractional calculus and the evolution of fractal phenomena journal, April 1999

Temporal Analysis of Cardiovascular and Respiratory Complexity by Multiscale Entropy Based on Symbolic Dynamics journal, July 2018

Fractional calculus ties the microscopic and macroscopic scales of complex network dynamics journal, April 2015

Multiscale Entropy Analysis of Complex Physiologic Time Series journal, July 2002

Multiscale Entropy Analysis of Financial time Series journal, December 2012

Multiscale entropy analysis of human gait dynamics journal, December 2003

Time-dependent fractional dynamics with memory in quantum and economic physics journal, August 2017

MULTISCALE ENTROPY ANALYSIS OF THE PORTEVIN-LE CHATELIER EFFECT IN AN Al-2.5%Mg ALLOY journal, September 2010

The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus journal, November 2007

Application of Multiscale Entropy in Mechanical Fault Diagnosis of High Voltage Circuit Breaker journal, April 2018

Complexities and entropies of periodic series with application to the transition to turbulence in the logistic map journal, September 1984

Time Series Analysis Using Composite Multiscale Entropy journal, March 2013

Long-range anticorrelations and non-Gaussian behavior of the heartbeat journal, March 1993

Bearing fault diagnosis using multi-scale entropy and adaptive neuro-fuzzy inference journal, August 2010

A Mathematical Theory of Communication
journal, July 1948

A study of coupled logistic maps and their usefulness for modelling physico-chemical processes
journal, January 1987

Logistic map: A possible random-number generator
journal, April 1995

Multiscale entropy-based analysis and processing of EEG signal during watching 3DTV
journal, September 2018

Fractional derivatives of Weierstrass-type functions
journal, December 1996

On the connection between the order of fractional calculus and the dimensions of a fractal function
journal, January 2005

Intermittent transition to turbulence in dissipative dynamical systems
journal, June 1980

Multiscale entropy analysis of biological signals
journal, February 2005

Sample Entropy Analysis of Noisy Atrial Electrograms during Atrial Fibrillation
journal, June 2018

Physiological time-series analysis using approximate entropy and sample entropy
journal, June 2000

Some combinatorial aspects of discrete non-linear population dynamics
journal, December 2016

Nanoscale serration and creep characteristics of Al0.5CoCrCuFeNi high-entropy alloys
journal, July 2018

The complexity of daily life walking in older adult community-dwelling fallers and non-fallers
journal, June 2016

The Multiscale Entropy Algorithm and Its Variants: A Review
journal, May 2015

On the Hausdorff dimension of some graphs
journal, February 1986

Approximate entropy as a measure of system complexity.
journal, March 1991

Comparative study of the Portevin-Le Chatelier effect in interstitial and substitutional alloy
journal, June 2007

Period Three Begins
journal, October 2010

Serration and noise behaviors in materials
journal, October 2017

On the relation between correlation dimension, approximate entropy and sample entropy parameters, and a fast algorithm for their calculation
journal, December 2012

Simple statistics for complex Earthquake time distributions
journal, January 2018

Stochastic feedback and the regulation of biological rhythms
journal, August 1998

Designing a multi-scroll chaotic system by operating Logistic map with fractal process
journal, January 2017

Time domains of and white noise fluctuations
journal, February 1991

Quantifying complexity of financial short-term time series by composite multiscale entropy measure
journal, May 2015

Analysis of complex time series using refined composite multiscale entropy
journal, April 2014

Nonlinear dynamical complexity of agent-based stochastic financial interacting epidemic system
journal, August 2016

EMD based refined composite multiscale entropy analysis of complex signals
journal, March 2015

Chronic vagus nerve stimulation reverses heart rhythm complexity in patients with drug-resistant epilepsy: An assessment with multiscale entropy analysis
journal, June 2018

Fractional differential equations as alternative models to nonlinear differential equations
journal, April 2007

Controlling of chaotic motion by chaos and noise signals in a logistic map and a Bonhoeffer–van der Pol oscillator
journal, January 1995

A new experimental approach to study the stability of logistic map
journal, August 2009

Multiscale entropy analysis of resting-state magnetoencephalogram with tensor factorisations in Alzheimer's disease
journal, October 2015

Financial Stress Through Complexity Science
journal, September 2016

Aging and rejuvenation with fractional derivatives
journal, September 2004

Investigation of Portevin−Le Chatelier effect in HT-9 steel
journal, April 2015

Decreased resting-state brain signal complexity in patients with mild cognitive impairment and Alzheimer’s disease: a multi-scale entropy analysis
journal, January 2018

Fractional Mechanics of Elastic Solids: Continuum Aspects
journal, May 2017

Fractional calculus and the evolution of fractal phenomena
journal, April 1999

Temporal Analysis of Cardiovascular and Respiratory Complexity by Multiscale Entropy Based on Symbolic Dynamics
journal, July 2018

Fractional calculus ties the microscopic and macroscopic scales of complex network dynamics
journal, April 2015

Multiscale Entropy Analysis of Complex Physiologic Time Series
journal, July 2002

Multiscale Entropy Analysis of Financial time Series
journal, December 2012

Multiscale entropy analysis of human gait dynamics
journal, December 2003

Time-dependent fractional dynamics with memory in quantum and economic physics
journal, August 2017

MULTISCALE ENTROPY ANALYSIS OF THE PORTEVIN-LE CHATELIER EFFECT IN AN Al-2.5%Mg ALLOY
journal, September 2010

The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus
journal, November 2007

Application of Multiscale Entropy in Mechanical Fault Diagnosis of High Voltage Circuit Breaker
journal, April 2018

Complexities and entropies of periodic series with application to the transition to turbulence in the logistic map
journal, September 1984

Time Series Analysis Using Composite Multiscale Entropy
journal, March 2013

Long-range anticorrelations and non-Gaussian behavior of the heartbeat
journal, March 1993

Bearing fault diagnosis using multi-scale entropy and adaptive neuro-fuzzy inference
journal, August 2010