Entropy  

Hossein Jafari, Hassan Kamil Jassim, Maysaa Al Qurashi and Dumitru Baleanu

In this manuscript, we prove the existence and uniqueness of solutions for local fractional differential equations (LFDEs) with local fractional derivative operators (LFDOs). By using the contracting mapping theorem (CMT) and increasing and decreasing the... see more

María Florencia Ludovico, Liliana Arrachea, Michael Moskalets and David Sánchez

The problem of time-dependent particle transport in quantum conductors is nowadays a well established topic. In contrast, the way in which energy and heat flow in mesoscopic systems subjected to dynamical drivings is a relatively new subject that cross-fe... see more

Wanqing Song, Ming Li and Jian-Kai Liang

In this paper, we propose a novel framework for the diagnosis of incipient bearing faults and trend prediction of weak faults which result in gradual aggravation with the bearing vibration intensity as the characteristic parameter. For the weak fault diag... see more

Jinbo Yang, Tangmei He and Jingyi Zhang

A simple harmonic oscillator canonical ensemble model for Schwarzchild black hole quantum tunneling radiation is proposed in this paper. Firstly, the equivalence between canonical ensemble model and Parikh–Wilczek’s tunneling method is introduced. Then, r... see more

Junhai Ma, Xiaogang Ma and Wandong Lou

In this research, a model is established to represent a supply chain, which consists of one manufacturer and two retailers. The price-sensitive demand model is considered and the price game system is built according to the rule of bounded rationality as w... see more

Shaohui Ning, Zhennan Han, Zhijian Wang and Xuefeng Wu

This paper investigates an improved noise reduction method and its application on gearbox vibration signal de-noising. A hybrid de-noising algorithm based on local mean decomposition (LMD), sample entropy (SE), and time-frequency peak filtering (TFPF) is ... see more

Bo Liang, Xiting Peng and Chengyuan Qu

This paper is devoted to studying the existence and uniqueness of weak solutions for an initial boundary problem of a nonlinear fourth-order parabolic equation with variable exponent v t + div ( | ? ? v | p ( x ) - 2 ? ? v ) - | ? v | q ( ... see more

Min Lei, Guang Meng, Wenming Zhang, Joshua Wade and Nilanjan Sarkar

Real systems are often complex, nonlinear, and noisy in various fields, including mathematics, natural science, and social science. We present the symplectic entropy (SymEn) measure as well as an analysis method based on SymEn to estimate the nonlinearity... see more

Anne Humeau-Heurtier

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Bernhard C. Geiger and Gernot Kubin

The information loss in deterministic, memoryless systems is investigated by evaluating the conditional entropy of the input random variable given the output random variable. It is shown that for a large class of systems the information loss is finite, ev... see more

Wolfgang Nowak and Anneli Guthke

Choosing between competing models lies at the heart of scientific work, and is a frequent motivation for experimentation. Optimal experimental design (OD) methods maximize the benefit of experiments towards a specified goal. We advance and demonstrate an ... see more

David C. De Souza, Rui F. Vigelis and Charles C. Cavalcante

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Dario A. Zappalà, Marcelo Barreiro and Cristina Masoller

The Hilbert transform is a well-known tool of time series analysis that has been widely used to investigate oscillatory signals that resemble a noisy periodic oscillation, because it allows instantaneous phase and frequency to be estimated, which in turn ... see more

Lenin F. Escamilla-Herrera, Eri A. Mena-Barboza and José Torres-Arenas

The thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, the equations of state and thermodynamic response functions are explicitly given, and... see more

Jaesung Lee and Dae-Won Kim

Multi-label feature selection is designed to select a subset of features according to their importance to multiple labels. This task can be achieved by ranking the dependencies of features and selecting the features with the highest rankings. In a multi-l... see more

Xin Dong, Hao Lu, Yuanpu Xia and Ziming Xiong

Decision-making under risk assessment involves dealing with the matter of uncertainty, especially in projects such as tunnel construction. Risk control should include not only measures to reduce the possible consequence of incident, but also exploration m... see more

Jia Xiao and Zongyi He

Constructing a merged concept lattice with formal concept analysis (FCA) is an important research direction in the field of integrating multi-source geo-ontologies. Extracting essential geographical properties and reducing the concept lattice are two key ... see more

Peter Schuster

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Riccardo Caponetto, Francesca Sapuppo, Vincenzo Tomasello, Guido Maione and Paolo Lino

The paper presents a fractional order model of a heating process and a comparison of fractional and standard PI controllers in its closed loop system. Preliminarily, an enhanced fractional order model for the heating process on non-continuous materials ha... see more

Emmanuel Chevallier, Thibault Forget, Frédéric Barbaresco and Jesus Angulo

This paper studies probability density estimation on the Siegel space. The Siegel space is a generalization of the hyperbolic space. Its Riemannian metric provides an interesting structure to the Toeplitz block Toeplitz matrices that appear in the covaria... see more

Koen Thas

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Paolo Malgaretti, Ignacio Pagonabarraga and J. Miguel Rubi

We show that when Brownian motion takes place in a heterogeneous medium, the presence of local forces and transport coefficients leads to deviations from a Gaussian probability distribution that make that the ratio between forward and backward probabiliti... see more

Yu-Xing Li, Ya-An Li, Zhe Chen and Xiao Chen

In order to solve the problem of feature extraction of underwater acoustic signals in complex ocean environment, a new method for feature extraction from ship-radiated noise is presented based on empirical mode decomposition theory and permutation entropy... see more

Guolong Chen and Weimin Zhang

Here, a new method is proposed to quantitatively evaluate the eddy current distribution induced by different exciting coils of an eddy current probe. Probability of energy allocation of a vector field is modeled via conservation of energy and imitating th... see more

Shu-Nan Li and Bing-Yang Cao

Thermodynamics problems for the single-phase-lagging (SPL) model have not been much studied. In this paper, the violation of the second law of thermodynamics by the SPL model is studied from two perspectives, which are the negative entropy production rate... see more

Nurul Retno Nurwulan and Bernard C. Jiang

The number of mobile phone users keeps increasing every year and mobile phones have become a primary need for most people. Ordinarily, people are not aware of the risk from a common dual-task study, such as using a mobile phone while walking or simply sta... see more

Frédéric Barbaresco

We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical o... see more

Yulong Qiao and Ganchao Zhao

Multiresolution models such as the wavelet-domain hidden Markov tree (HMT) model provide a powerful approach for image modeling and processing because it captures the key features of the wavelet coefficients of real-world data. It is observed that the Lap... see more

Mehrdad Massoudi

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Duarte Valério, António M. Lopes and José A. Tenreiro Machado

Railway networks are among the many physical systems that reveal a fractal structure. This paper studies the Portuguese railway system, and analyzes how it evolved over time, namely what concerns the structure of its different levels, and its distribution... see more