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  Partner: UNT College of Arts and Sciences
 Department: Center for Nonlinear Science
 Collection: UNT Scholarly Works
Dynamical Origin of Memory and Renewal
This article discusses a dynamical origin of memory and renewal. digital.library.unt.edu/ark:/67531/metadc40399/
The Dynamics of EEG Entropy
This article discusses the dynamics of EEG entropy. digital.library.unt.edu/ark:/67531/metadc132967/
Dynamics of Electroencephalogram Entropy and Pitfalls of Scaling Detection
This article discusses dynamics of electroencephalogram entropy and pitfalls of scaling detection. Herein the authors study the time evolution of diffusion entropy to elucidate the scaling of EGG time series. digital.library.unt.edu/ark:/67531/metadc40408/
Event-Driven Power-Law Relaxation in Weak Turbulence
This article discusses event-driven power-law relaxation in weak turbulence. digital.library.unt.edu/ark:/67531/metadc40395/
Experimental Quenching of Harmonic Stimuli: Universality of Linear Response Theory
This article discusses experimental quenching of harmonic stimuli. digital.library.unt.edu/ark:/67531/metadc40394/
Fast-computational approach to the evaluation of slow-motion EPR spectra in terms of a generalized Langevin equation
Article discussing a fast-computational approach to the evaluation of slow-motion EPR spectra in terms of a generalized Langevin equation. digital.library.unt.edu/ark:/67531/metadc181661/
A fluctuating environment as a source of periodic modulation
Article discussing a fluctuating environment as a source of periodic modulation. digital.library.unt.edu/ark:/67531/metadc132981/
Fluctuation-dissipation process without a time scale
This article discusses fluctuation-dissipation process without a time scale. digital.library.unt.edu/ark:/67531/metadc77161/
Fluctuation-Dissipation Theorem for Event-Dominated Processes
This article discusses fluctuation-dissipation theorem for event-dominated processes. digital.library.unt.edu/ark:/67531/metadc40397/
Fluorescence intermittency in blinking quantum dots: renewal or slow modulation?
Article discussing fluorescence intermittency in blinking quantum dots. digital.library.unt.edu/ark:/67531/metadc174701/
Fractional Brownian motion as a nonstationary process: An alternative paradigm for DNA sequences
This article discusses fractional Brownian motion as a nonstationary process. The model adopted is compatible with the known biological and physical constraints, namely, it is shown to be consistent with the information of current biological literature on folding as well as with the statistical analyses of DNA sequences. digital.library.unt.edu/ark:/67531/metadc75416/
Fractional calculus as a macroscopic manifestation of randomness
Article discussing fractional calculus as a macroscopic manifestation of randomness. digital.library.unt.edu/ark:/67531/metadc77121/
From Knowledge, Knowability and the Search for Objective Randomness to a New Vision of Complexity
Paper discussing knowledge, knowability, and the search for objective randomness to a new vision of complexity. digital.library.unt.edu/ark:/67531/metadc174694/
From power law intermittence to macroscopic coherent regime
This article offers discussions from power law intermittence to macroscopic coherent regime. The authors address the problem of establishing which is the proper form of quantum master equation generating a survival probability identical to that corresponding to the nonergodic sequence of "light on" and "light off" fluorescence fluctuations in blinking quantum dots. digital.library.unt.edu/ark:/67531/metadc132992/
From self-organized to extended criticality
This article discusses the criticality of transition processes in neurophysiology. digital.library.unt.edu/ark:/67531/metadc132990/
Generalized Master Equation Via Aging Continuous-Time Random Walks
This article discusses the problem of the equivalence between continuous-time random walk (CTRW) and generalized master equation (GME). digital.library.unt.edu/ark:/67531/metadc67635/
In the search for the low-complexity sequences in prokaryotic and eukaryotic genomes: how to derive a coherent picture from global and local entropy measures
Paper discussing the search for the low-complexity sequences in prokaryotic and eukaryotic genomes and how to derive a coherent picture from global and local entropy measures. digital.library.unt.edu/ark:/67531/metadc174697/
Intermittency and scale-free networks: a dynamical model for human language complexity
Article discussing intermittency, scale-free networks, and a dynamical model for human language complexity. digital.library.unt.edu/ark:/67531/metadc174696/
Lévy diffusion as an effect of sporadic randomness
This article discusses Lévy diffusion as an effect of sporadic randomness. digital.library.unt.edu/ark:/67531/metadc77160/
Lévy Scaling: The Diffusion Entropy Analysis Applied to DNA Sequences
This article discusses Lévy scaling and the diffusion entropy analysis applied to DNA sequences. The authors address the problem of the statistical analysis of a time series generated by complex dynamics with the diffusion entropy analysis. digital.library.unt.edu/ark:/67531/metadc67631/
Linear response at criticality
In this article, the authors study a set of cooperatively interacting units at criticality, and prove with analytical and numerical arguments that they generate the same renewal non-Poisson intermittency as that produced by blinking quantum dots. digital.library.unt.edu/ark:/67531/metadc132985/
Linear Response of Hamiltonian Chaotic Systems as a Function of the Number of Degrees of Freedom
This article discusses the linear response of Hamiltonian chaotic systems as a function of the number of degrees of freedom. digital.library.unt.edu/ark:/67531/metadc139479/
Linear Response to Perturbation of Nonexponential Renewal Processes
This article discusses the linear response to perturbation of nonexponential renewal processes. digital.library.unt.edu/ark:/67531/metadc67626/
Long- and Short-Time Analysis of Heartbeat Sequences: Correlation with Mortality Risk in Congestive Heart Failure Patients
This paper discusses long- and short-time analysis of heartbeat sequences and the correlation with mortality risk in congestive heart failure patients. digital.library.unt.edu/ark:/67531/metadc67633/
The Markov approximation revisited: inconsistency of the standard quantum Brownian motion model
Article discussing the Markov approximation. Abstract: We revisit the Markov approximation necessary to derive ordinary Brownian motion from a model widely adopted in literature for this specific purpose. We show that this leads to internal inconsistencies, thereby implying that further search for a more satisfactory model is required. digital.library.unt.edu/ark:/67531/metadc139465/
Mega et al. Reply
This article is a reply to a comment by A. Helmstetter and D. Sornette about the article 'Power-Law Time Distribution of Large Earthquakes' from 2003. digital.library.unt.edu/ark:/67531/metadc67640/
Memory Beyond Memory in Heart Beating, a Sign of a Healthy Physiological Condition
In this article, the authors describe two types of memory and illustrate each using artificial and actual heartbeat data sets. digital.library.unt.edu/ark:/67531/metadc67628/
Memory Effects in Fractional Brownian Motion with Hurst Exponent H<1/3
This article discusses a study on the regression to the origin of a walker driven by dynamically generated fractional Brownian motion. digital.library.unt.edu/ark:/67531/metadc40405/
Networking of psychophysics, psychology, and neurophysiology
This article focuses on dynamic networking and dynamic networks in complex research on psychophysics, psychology, and neurophysiology. It states that new ways were suggested by dynamic networking and dynamic networks to transfer information utilizing the long-distance communication through local cooperative interaction. It says that the fluctuations in brain and social dynamics reveal the emergence of complex behavior when analyzed with advanced methods of fractal statistical analysis. digital.library.unt.edu/ark:/67531/metadc132991/
Neural Dynamics: Criticality, Cooperation, Avalanches and Entrainment between Complex Networks
Book chapter discussing neural dynamics and the criticality, cooperation, avalanches and entrainment between complex networks. digital.library.unt.edu/ark:/67531/metadc177272/
Noise-induced transition from anomalous to ordinary diffusion: The crossover time as a function of noise intensity
This article discusses noise-induced transition from anomalous to ordinary diffusion and the crossover time as a function of noise intensity. digital.library.unt.edu/ark:/67531/metadc139501/
Non-Gaussian statistics of anomalous diffusion: The DNA sequences of prokaryotes
This article discusses a non-Gaussian indicator to measure the deviation from Gaussian statistics of a diffusion process generated by dichotomous fluctuations with infinite memory. digital.library.unt.edu/ark:/67531/metadc75418/
Non-Markovian Nonstationary Completely Positive Open-Quantum-System Dynamics
This article discusses non-Markovian nonstationary completely positive open-quantum-system dynamics. digital.library.unt.edu/ark:/67531/metadc40393/
Non-Poisson Dichotomous Noise: Higher-Order Correlation Functions and Aging
This article discusses non-Poisson dichotomous noise and higher-order correlation functions and aging. digital.library.unt.edu/ark:/67531/metadc40403/
Non-Poisson distribution of the time distances between two consecutive clusters of earthquakes
Article discussing non-Poisson distribution of the time distances between two consecutive clusters of earthquakes. Abstract: With the help of the Diffusion Entropy technique the authors show the non-Poisson statistics of the distances between consecutive Omori's swarms of earthquakes. We give an analytical proof of the numerical results of an earlier paper [Mega et al., Phys. Rev. Lett. 90 (2003) 188501]. digital.library.unt.edu/ark:/67531/metadc132976/
Power-Law Time Distribution of Large Earthquakes
In this article, the authors study the statistical properties of time distribution of seismicity in California by means of a new method of analysis, the diffusion entropy. The authors find that the distribution of time intervals between a large earthquake (the main shock of a given seismic sequence) and the next one does not obey Poisson statistics, as assumed by the current models. The authors prove that this distribution is an inverse power law with an exponent μ = 2.06 ± 0.01. The authors propose the long-range model, reproducing the main properties of the diffusion entropy and describing the seismic triggering mechanisms induced by large earthquakes. digital.library.unt.edu/ark:/67531/metadc67639/
Power spectra for both interrupted and perennial aging processes
Article on power spectra for both interrupted and perennial aging processes. digital.library.unt.edu/ark:/67531/metadc228286/
Probability flux as a method for detecting scaling
Paper on probability flux as a method for detecting scaling. digital.library.unt.edu/ark:/67531/metadc132978/
Publisher's Note: Beyond the Death of Linear Response: 1/f Optimal Information Transport [Phys. Rev. Lett. 105,040601 (2010)]
This is a Publisher's Note for the article 'Beyond the Death of Linear Response: 1/f Optimal Information Transport' [Phys. Rev. Lett. 105, 040601 (2010)]. digital.library.unt.edu/ark:/67531/metadc40406/
Quantum Entanglement and Entropy
This article discusses quantum entanglement and entropy. digital.library.unt.edu/ark:/67531/metadc67627/
Random Growth of Interfaces as a Subordinated Process
In this article, the authors study the random growth of surfaces from within the perspective of a single column, namely, the fluctuation of the column height around the mean value, y(τ)=h(τ)-‹h(τ)›, which is depicted as being subordinated to a standard fluctuation-dissipation process with friction y. digital.library.unt.edu/ark:/67531/metadc67637/
Real event detection and the treatment of congestive heart failure: an efficient technique to help cardiologists to make crucial decisions
Paper discussing the treatment of congestive heart failure. Abstract: Using a method of entropic analysis of time series we establish the correlation between heartbeat long-range memory and mortality risk in patients with congestive heart failure. digital.library.unt.edu/ark:/67531/metadc174688/
Renewal aging and linear response
Paper discussing the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion. digital.library.unt.edu/ark:/67531/metadc174702/
Renewal Aging as Emerging Property of Phase Synchronization
Paper discussing renewal aging as emerging property of phase synchronization. digital.library.unt.edu/ark:/67531/metadc174704/
Renewal and memory origin of anomalous diffusion: A discussion of their joint action
Article on renewal and memory origin of anomalous diffusion. digital.library.unt.edu/ark:/67531/metadc275004/
Renewal and memory properties in the random growth of surfaces
Paper discussing renewal and memory properties in the random growth of surfaces. digital.library.unt.edu/ark:/67531/metadc132977/
Renewal, Modulation, and Superstatistics in Times Series
In this article, the authors consider two different approaches, to which the authors refer to as renewal and modulation, to generate time series with a nonexponential distribution of waiting times. digital.library.unt.edu/ark:/67531/metadc40400/
Reply to the Comment "Intercluster correlation in Seismicity" by Helmstetter and Sornette
This paper is a reply to the comment by Helmstetter and Sornette titled "Intercluster correlation in Seismicity" which addresses an important point in a paper written by the authors that needs to be clarified. digital.library.unt.edu/ark:/67531/metadc174693/
Response of Complex Systems to Complex Perturbations: the Complexity Matching Effect
Paper discussing the complexity matching effect. digital.library.unt.edu/ark:/67531/metadc132965/
Role of committed minorities in times of crisis
This article discusses the role of committed minorities in times of crisis. digital.library.unt.edu/ark:/67531/metadc174738/