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  Partner: UNT College of Arts and Sciences
 Department: Center for Nonlinear Science
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/
Dynamical approach to Lévy processes
This article discusses a dynamical approach to Lévy processes, which makes it possible to derive all statistical properties of the diffusion process from the correlation function of the dichotomous fluctuating variable Φy(t). digital.library.unt.edu/ark:/67531/metadc139498/
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/
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/
Complexity and Synchronization
This article discusses complexity and synchronization in decision making and information transmission. digital.library.unt.edu/ark:/67531/metadc40410/
Cooperation-induced topological complexity: a promising road to fault tolerance and Hebbian learning
This article discusses cooperation-induced topological complexity and the emergence of intelligence. digital.library.unt.edu/ark:/67531/metadc132972/
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/
Quantum Entanglement and Entropy
This article discusses quantum entanglement and entropy. digital.library.unt.edu/ark:/67531/metadc67627/
Scaling Breakdown: A Signature of Aging
In this article, the authors prove that the Lévy walk is characterized by bilinear scaling. This effect mirrors the existence of a form of aging that does not require the adoption of nonstationary conditions. digital.library.unt.edu/ark:/67531/metadc67630/
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/
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/
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/
Dynamical model for DNA sequences
This article discusses a dynamical model for DNA sequences based on the assumption that the statistical properties of DNA paths are determined by the joint action of two processes, one deterministic with long-range correlations and the other random and δ-function correlated. digital.library.unt.edu/ark:/67531/metadc139499/
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/
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/
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/
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/
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/
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/
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-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-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/
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/
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/
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/
Aging and Rejuvenation with Fractional Derivatives
This article discusses aging rejuvenation with fractional derivatives. digital.library.unt.edu/ark:/67531/metadc67638/
Cognitive Scale-Free Networks as a Model for Intermittency in Human Natural Language
Paper discussing cognitive scale-free networks as a model for intermittency in human natural language. digital.library.unt.edu/ark:/67531/metadc174698/
Detection of invisible and crucial events: from seismic fluctuations to the war against terrorism
Paper discussing the detection of invisible and crucial events. digital.library.unt.edu/ark:/67531/metadc174695/
Dynamic Approach to the Thermodynamics of Superdiffusion
This article discusses dynamic approach to the thermodynamics of superdiffusion. digital.library.unt.edu/ark:/67531/metadc77167/
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/
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/
Breakdown of the Onsager Principle as a Sign of Aging
Article discussing the breakdown of the Onsager principle as a sign of aging. digital.library.unt.edu/ark:/67531/metadc174692/
Conflict between trajectories and density description: the statistical source of disagreement
Paper discussing the statistical source of disagreement between trajectories and density description. digital.library.unt.edu/ark:/67531/metadc174689/
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/
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/
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/
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/
Transmission of Information Between Complex Systems: 1/ f resonance
In this article, the authors study the transport of information between two complex systems with similar properties. digital.library.unt.edu/ark:/67531/metadc40404/
Tunneling rate fluctuations induced by nonlinear resonances: A quantitative treatment based on semiclassical arguments
This article discusses tunneling rate fluctuations induced by nonlinear resonances. The authors investigate the tunneling process between two symmetric stable islands of a forced pendulum Hamiltonian in the weak chaos regime. digital.library.unt.edu/ark:/67531/metadc77120/
Scaling in Non-Stationary time series I
Paper discussing scaling in non-stationary time series. digital.library.unt.edu/ark:/67531/metadc174690/
Scaling in Non-stationary Time Series II: Teen Birth Phenomenon
This paper is devoted to the problem of statistical mechanics raised by the analysis of an issue of sociological interest: the teen birth phenomenon. digital.library.unt.edu/ark:/67531/metadc174691/
Vortex Dynamics in Evolutive Flows: A Weakly Chaotic Phenomenon
In this article, the authors make use of a wavelet method to extract, from experimental velocity signals obtained in an evolutive flow, the dominating velocity components generated by vortex dynamics. digital.library.unt.edu/ark:/67531/metadc67634/
Trajectory versus probability density entropy
In this article, the authors show that the widely accepted conviction that a connection can be established between the probability density entropy and the Kolmogorov-Sinai (KS) entropy is questionable. digital.library.unt.edu/ark:/67531/metadc77165/
Stromatolites: why do we care?
Article discussing stromatolites. The authors apply the method of Diffusion Entropy (DE) to the study of stromatolites by means of a two-dimensional procedure that makes it possible for us to compare the DE analysis to the results of a compression method. digital.library.unt.edu/ark:/67531/metadc139469/
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/
Spontaneous Brain Activity as a Source of Ideal 1/f Noise
In this article, the authors study the electroencephalogram (EEG) of 30 closed-eye subjects with a technique of analysis recently proposed to detect punctual events signaling rapid transitions between different metastable states. digital.library.unt.edu/ark:/67531/metadc40409/
Towards the thermodynamics of localization processes
In this article, the authors study the entropy time evolution of a quantum mechanical model, which is frequently used as a prototype for Anderson's localization. digital.library.unt.edu/ark:/67531/metadc77163/
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