FDA Express Vol. 10, No. 2&3, Feb. 15, 2014
Editors: http://em.hhu.edu.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com,
pangguofei2008@126.com
For subscription:
http://em.hhu.edu.cn/fda/subscription.htm
PDF download: http://em.hhu.edu.cn/fda/
◆ Latest SCI Journal Papers on FDA
(Searched on 15th February 2014)
◆ Conference
The 22nd European Signal Processing Conference
◆ Call for papers
Special Issue on ''Fractional Dynamics: Theory and Applications''
Special Issue on "New Challenges in Fractional Systems 2014 (NCFS14)"
◆ Books
Lévy Processes and Infinitely Divisible Distributions
Microphysics of Cosmic Plasmas
Spectral and High Order Methods for Partial Differential Equations
◆ Journals
Computers & Mathematics with Applications
Journal of Applied Nonlinear Dynamics
◆ Paper Highlight
Generalization of a theoretical basis for the application of fractional calculus to viscoelasticity
Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena
◆ Websites of Interest
Fractional Calculus & Applied Analysis
International Conference on Fractional Differentiation and Its Applications (ICFDA'14)
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Latest SCI Journal Papers on FDA
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(Searched on 15th February 2014)
By: Yang, Li-xin; Jiang, Jun
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 19 Issue: 5 Pages: 1496-1506 Published: MAY 2014
By: Salahshour, S.; Abbasbandy, S.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 19 Issue: 5 Pages: 1256-1258 Published: MAY 2014
ON THE ORBITAL STABILITY OF FRACTIONAL SCHRODINGER EQUATIONS
By: Cho, Yonggeun; Hajaiej, Hichem; Hwang, Gyeongha; et al.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS Volume: 13 Issue: 3 Pages: 1267-1282 Published: MAY 2014UNIFORM HOLDER REGULARITY WITH SMALL EXPONENT IN COMPETITION-FRACTIONAL DIFFUSION SYSTEMS
By: Terracini, Susanna; Verzini, Gianmaria; Zilio, Alessandro
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume: 34 Issue: 6 Special Issue: SI Pages: 2669-2691 Published: JUN 2014
RIGIDITY RESULTS FOR NONLOCAL PHASE TRANSITIONS IN THE HEISENBERG GROUP HBy: Lopez, Luis F.; Sire, Yannick
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume: 34 Issue: 6 Special Issue: SI Pages: 2639-2656 Published: JUN 2014
A new 4-D non-equilibrium fractional-order chaotic system and its circuit implementation
By: Zhou, Ping; Huang, Kun
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 19 Issue: 6 Pages: 2005-2011 Published: JUN 2014
Abundant bursting patterns of a fractional-order Morris-Lecar neuron model
By: Shi, Min; Wang, Zaihua
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 19 Issue: 6 Pages: 1956-1969 Published: JUN 2014Periodic solutions of quadratic Weyl fractional integral equations
By: Chen, Qian; Wang, JinRong; Chen, Fulai; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 19 Issue: 6 Pages: 1945-1955 Published: JUN 2014By: Almeida, Ricardo; Martins, Natalia
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 19 Issue: 6 Pages: 1675-1685 Published: JUN 2014By: Yu, Tao; Deng, Ke; Luo, Maokang
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 19 Issue: 6 Pages: 1661-1668 Published: JUN 2014
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Conference
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The 22nd European Signal Processing Conference
September 1 -5, 2014, Lisbon, Portugal
http://www.eusipco2014.org/
(Contributed by Prof. Manuel Duarte Ortigueira)
Organization: Instituto de Telecomunicações and INESC-ID, Portugal
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Call for papers
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Special Issue on " Fractional Dynamics: Theory and Applications "
--- in the Journal of Statistical Mechanics: Theory and Experiment
http://iopscience.iop.org/1742-5468/focus/extra.special5
(Contributed by Prof. Yong Zhou)
Fractional Calculus is simultaneously a new and old research issue. During the few decades, fractional calculus has been recognized as one of the best tools to describe long-memory processes. Such models are interesting for physicists and dynamicists but also for mathematicians. The most important among such models are those described by complex systems containing fractional derivatives. Their evolutions behave in a much more complex way than in the classical integer-order case. The objective of this special issue is to report and review the latest progresses in the field of fractional dynamics, which covers fractional statistical mechanics, fractional quantum dynamics and related topics. We hope that one can learn the recent developments from the special issue, including theoretical, numerical and experimental results in this area.
Journal of Statistical Mechanics: Theory and Experiment is published by IOP, indexed in SCI with impact factor: 1.866.
Guest Editors
Prof. Yong Zhou
Faculty of Mathematics and Computational Science
Xiangtan University
P.R. China
Email: yzhou@xtu.edu.cn
Prof. Vasily E. Tarasov
Skobeltsyn Institute of Nuclear Physics
Moscow State University 119991 Moscow
Russia
Email: tarasov@theory.sinp.msu.ru
Prof. J. A. Tenreiro Machado
Department of Electrical Engineering
ISEP-Institute of Engineering Polytechnic of Porto
Portugal
Email: jtenreiromachado@gmail.com
Submission Deadline: June 30th, 2014.
Submission of Manuscripts
When your contribution is ready for submission, please follow the instructions below:
1. Connect to http://jstat.sissa.it , register (if needed) and login;
2. In the “Submit” section of the JSTAT home page click on “submit a paper for a special issue”;
3. Select “Fractional Dynamics: Theory and Applications” from the list;
4. Follow the step-by-step procedure for submission. In case of need, please click on the "HELP" link available at the top of the submission pages ( http://jstat.sissa.it/jstat/help/helpLoader.jsp?pgType=author )
[Back]
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Special Issue on "New Challenges in Fractional Systems 2014 (NCFS14)"
--- in Mathematical Problems in Engineering
Website:
http://www.hindawi.com/journals/mpe/si/262360/cfp/
(contributed by Prof. Guido Maione)
Fractional order differentiation consists in the generalization of classical
integer differentiation to real or complex orders. From a mathematical point of
view, several interpretations of fractional differentiation were proposed, but
there is still a deep debate about it. The fractional differentiation and
fractional integration are nonlocal operations based on an integral with a
singular kernel. This explains why these operators are still not well defined
and that several definitions still coexist. Since the first recorded reference
work in 1695 up to the present day, many papers have been published on this
subject, but much progress still to be done particularly on the relationship of
these different definitions with the physical reality of a system.
A fractional order system is a system described by an integrodifferential
equation involving fractional order derivatives of its input(s) and/or
output(s). From a physical point of view, linear fractional derivatives and
integrals order systems are not classical linear systems and not quite
conventional distributed parameter systems. They are in fact halfway between
these two classes of systems and are a modelling tool well suited to a wide
class of phenomena with nonstandard dynamic behaviour, and the applications of
fractional order systems are now well accepted in the following disciplines.
Potential topics include, but are not limited to:
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Special session: Fractional Signal Processing and Applications
---- in the 22nd European Signal Processing Conference
September 1 -5, 2014, Lisbon, Portugal
http://www.eusipco2014.org/
(Contributed by Prof. Manuel Duarte Ortigueira)
Fractional Calculus is the generalisation of the classic integer order calculus to real or complex orders having as base the definition of fractional derivative. The mutual influence Fractional Calculus/Signal Processing has been increasing in the last fifteen years with insertion of current signal processing tools, nomenclature and system interpretations into Fractional Calculus and bringing from it the fractional concepts.Fractional calculus is being applied in an increasing number of fields, from Physics to Control Engineering, or modeling long range processes that we find in our daily life as internet traffic, economy and finance. Other systems and devices difficult to study and model fall into the fractional framework as ultra capacitors, batteries, dielectric materials, muscles, etc.
The development of Fractional Signals and Systems theory has led to a new set of tools that began substituting classic procedures and implementations. In fact the success of the fractional methodology is unquestionable with a lot of applications, namely in nonlinear and complex system dynamics and image processing. The advantages of fractional filters led to an increment in the research of new design methods.
Also important as referred above was the enrichment of Fractional Calculus done by the Signal Processing view, interpretation, and procedures.
This special session addresses the interplay between Fractional Calculus and signal processing, which brings new challenges since the involved mathematical tools are more involved and hard to compute than the classic ones, but are also richer allowing better models, behaviours, and performances.
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Books
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Lévy Processes and Infinitely Divisible Distributions
Ken-iti Sato
Book Description
Lévy processes are rich mathematical objects and constitute perhaps the most basic class of stochastic processes with a continuous time parameter. This book is intended to provide the reader with comprehensive basic knowledge of Lévy processes, and at the same time serve as an introduction to stochastic processes in general. No specialist knowledge is assumed and proofs are given in detail. Systematic study is made of stable and semi-stable processes, and the author gives special emphasis to the correspondence between Lévy processes and infinitely divisible distributions. All serious students of random phenomena will find that this book has much to offer. Now in paperback, this corrected edition contains a brand new supplement discussing relevant developments in the area since the book's initial publication.
More information on this book can be found by the following link:
http://books.google.com.hk/books/about/Lévy_Processes_and_Infinitely_Divisible.html?id=CwT5BNG0-owC
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Microphysics of Cosmic Plasmas
André Balogh , Andrei Bykov , Peter Cargill, Richard Dendy, Thierry Dudok de Wit , John Raymond
Book Description
This title presents a review of the detailed aspects of the physical processes that underlie the observed properties, structures and dynamics of cosmic plasmas. An assessment of the status of understanding of microscale processes in all astrophysical collisionless plasmas is provided. The topics discussed include turbulence in astrophysical and solar system plasmas as a phenomenological description of their dynamic properties on all scales; observational, theoretical and modelling aspects of collisionless magnetic reconnection; the formation and dynamics of shock waves; and a review and assessment of microprocesses, such as the hierarchy of plasma instabilities, non-local and non-diffusive transport processes and ionisation and radiation processes. In addition, some of the lessons that have been learned from the extensive existing knowledge of laboratory plasmas as applied to astrophysical problems are also covered. This volume is aimed at graduate students and researchers active in the areas of cosmic plasmas and space science. Originally published in Space Science Reviews journal, Vol. 278/2-4, 2013.
More information on this book can be found by the following link:
http://www.springer.com/astronomy/extraterrestrial+physics,+space+sciences/book/978-1-4899-7412-9
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Tadeusz Kaczorek, Lukasz Sajewski
Book Description
This book addresses the realization problem of positive and fractional continuous-time and discrete-time linear systems. Roughly speaking the essence of the realization problem can be stated as follows: Find the matrices of the state space equations of linear systems for given their transfer matrices. This first book on this topic shows how many well-known classical approaches have been extended to the new classes of positive and fractional linear systems. The modified Gilbert method for multi-input multi-output linear systems, the method for determination of realizations in the controller canonical forms and in observer canonical forms are presented. The realization problem for linear systems described by differential operators, the realization problem in the Weierstrass canonical forms and of the descriptor linear systems for given Markov parameters are addressed. The book also presents a method for the determination of minimal realizations of descriptor linear systems and an extension for cone linear systems. This monographs summarizes recent original investigations of the authors in the new field of the positive and fractional linear systems.
More information on this book can be found by the following link:
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Spectral and High Order Methods for Partial Differential Equations
---- ICOSAHOM 2012: Selected papers from the ICOSAHOM conference, June 25-29, 2012, in Computational Science and Engineering)
Book Description
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2012), and provides an overview of the depth and breath of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.
More information on this book can be found by the following link:
http://www.springer.com/mathematics/computational+science+&+engineering/book/978-3-642-15336-5
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Journals
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Volume 16, Issue 1(partial)
Entropy and Equilibria in Competitive Systems
What is a Multiscale Problem in Molecular Dynamics?
Computing Equilibrium Free Energies Using Non-Equilibrium Molecular Dynamics
Christoph Dellago and Gerhard Hummer
Nonadiabatic Molecular Dynamics Based on Trajectories
by Felipe Franco de Carvalho, Marine E. F. Bouduban, Basile F. E. Curchod and Ivano Tavernelli
Approximating Time-Dependent Quantum Statistical Properties
by Sara Bonella and Giovanni Ciccotti
Analysis of Time Reversible Born-Oppenheimer Molecular Dynamics
by Lin Lin, Jianfeng Lu and Sihong Shao
Time Integrators for Molecular Dynamics
Cameron Abrams and Giovanni Bussi
Correlation Functions in Open Quantum-Classical Systems
Chang-Yu Hsieh and Raymond Kapral
Malliavin Weight Sampling: A Practical Guide
Patrick B. Warren and Rosalind J. Allen
Dynamical Non-Equilibrium Molecular Dynamics
Giovanni Ciccotti and Mauro Ferrario
Markov State Models for Rare Events in Molecular Dynamics
Marco Sarich, Ralf Banisch, Carsten Hartmann and Christof Schütte
First Principles Methods: A Perspective from Quantum Monte Carlo
Miguel A. Morales, Raymond Clay, Carlo Pierleoni and David M. Ceperley
Modeling Potential Energy Surfaces: From First-Principle Approaches to Empirical Force Fields
Characterization of Rare Events in Molecular Dynamics
Carsten Hartmann, Ralf Banisch, Marco Sarich, Tomasz Badowski and Christof Schütte
Xiaobing Zhou, Lianglin Xiong and Xiaomei Cai
A Novel Approach to Extracting Casing Status Features Using Data Mining
Jikai Chen, Haoyu Li, Yanjun Wang, Ronghua Xie and Xingbin Liu
Shao-Yi Lin, Shou-Yi Chang, Chia-Jung Chang and Yi-Chung Huang
Tahmina Akhter and Katrin Rohlf
Dynamics of Correlation Structure in Stock Market
Maman Abdurachman Djauhari and Siew Lee Gan
Omar Abu Arqub, Ahmad El-Ajou, Zeyad Al Zhour and Shaher Momani
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Computers & Mathematics with Applications
Volume 67, Issue 1(partial)
Juan Wen, Yinnian He
A simple solution of the Bratu problem
A. Mohsen
Patricio Cumsille, Juan A. Asenjo, Carlos Conca
Che Sidik Nor Azwadi, Leila Jahanshaloo, Arman Safdari
Unconditionally stable numerical method for a nonlinear partial integro-differential equation
Nisha Sharma, Kapil K. Sharma
Wen Chen, Song Wang
Stokes equations with small parameters in half plane
Veli B. Shakhmurov
Efficient numerical solution of discrete multi-component Cahn–Hilliard systems
P. Boyanova, M. Neytcheva
An equation error approach for the elasticity imaging inverse problem for predicting tumor location
E. Crossen, M.S. Gockenbach, B. Jadamba, A.A. Khan, B. Winkler
Nonnegative splittings for rectangular matrices
Debasisha Mishra
Weak solution of the equation for a fractional porous medium with a forcing term
Mingshu Fan, Shan Li, Lei Zhang
Hopf bifurcation in spatially homogeneous and inhomogeneous autocatalysis models
Gaihui Guo, Bingfang Li, Xiaolin Lin
Time-fractional heat equations and negative absolute temperatures
Wei Zhang, Xing Cai, Sverre Holm
A.R. Seadawy
Mi-Young Kim, Mary F. Wheeler
Minimizing synchronizations in sparse iterative solvers for distributed supercomputers
Sheng-Xin Zhu, Tong-Xiang Gu, Xing-Ping Liu
Nauman Raza, Sultan Sial, Asma Rashid Butt
Víctor Domínguez, Sijiang L. Lu, Francisco-Javier Sayas
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Journal of Applied Nonlinear Dynamics
Volume 2, Issue 3 & 4
https://lhscientificpublishing.com/journals/JAND-Download.aspx
Front/Back Materials
CRONE Control : Principles, Extensions and Applications
A. Oustaloup, P. Lanusse, J. Sabatier, and P. Melchior
Fuzzy Fractional Neural Network Approximation by Fuzzy Quasi-interpolation Operators
George A. Anastassiou
Modal Method for Solving the Nonlinear Sloshing of Two Superposed Fluids in a Rectangular Tank
Bachir Meziani and Ouerdia Ourrad
Numerical Study on Bray-Liebhafsky Oscillatory Reaction: Bifurcations
Branislav Stankovi ́c, Zˇeljko C ̆upi ́c, Nataˇsa Peji ́c and Ljiljana Kolar-Ani ́c
Bistability and Bursting Oscillations in Electromechanical Butterfly Valves
C.A. Kitio Kwuimy and C. Nataraj
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Front/Back Materials
The Effect of Slow Flow Dynamics on the Oscillations of a Singular Damped System with an Essentially Nonlinear Attachment
J.O. Maaita, E. Meletlidou, A.F. Vakakis, and V. Rothos
Fractional Order Level Control of a System with Communicating Vessels
Cosmin Copot, Clara M. Ionescu, and Robin De Keyser
Model Reduction of Nonlinear Continuous Shallow Arch and Dynamic Buckling Simulations on Approximate Inertial Manifolds with Time Delay
Jiazhong Zhang, Liying Chen, and Sheng Ren
Control of a Hydro-electromechanical System Using Fractional-order Controllers: A Comparative Study
Roy Abi Zeid Daou, Xavier Moreau, and Clovis Francis
Chatter Dynamics on Impulse Surfaces in Impulsive Differential Systems
Shasha Zheng, Xilin Fu
Vibrational Resonance in a Duffing System with a Generalized Delayed Feedback
J.H. Yang, Miguel A.F. Sanjuán, C.J. Wang, and H. Zhu
Fractional Differential Equations System for Commercial Fishing under Predator-Prey Interaction
G.H. Erjaee, M.H. Ostadzad, K. Okuguchi, and E. Rahimi
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Paper
Highlight
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Generalization of a theoretical basis for the application of fractional calculus to viscoelasticity
Andrew W. Wharmby, Ronald L. Bagley
Publication information: Andrew W. Wharmby, Ronald L. Bagley. Generalization of a theoretical basis for the application of fractional calculus to viscoelasticity. J. Rheol. 57, 1429 (2013); http://scitation.aip.org/content/sor/journal/jor2/57/5/10.1122/1.4819083
Abstract
This work investigates the effect a fractional derivative may have on the spectrum of relaxation modes of a viscoelastic material. It is shown that the order of the fractional derivative results in a modification to the constitutive relationships that exist within the Rouse model forviscoelasticity. These relationships that are used in engineering analyses have been previously developed from an empirical standpoint. The resulting modification to these constitutive relationships further supports the inclusion of fractional calculus in models of viscoelastic materials and hence increase their level of confidence associated with their usage.
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Wei Cai, Wen Chen, Xiaodi Zhang
Publication information: Wei Cai, Wen Chen, Xiaodi Zhang, A Matlab toolbox for positive fractional time derivative modeling of arbitrarily frequency-dependent viscosity, Journal of Vibration and Control, 2013, 1077546313479636.
http://jvc.sagepub.com/content/early/2013/05/07/1077546313479636.abstractAbstract
The symmetric fractional derivative is introduced and its properties are studied. The Euler-Lagrange equations for models depending on sequential derivatives of type are derived using minimal action principle. The Hamiltonian for such systems is introduced following methods of classical generalized mechanics and the Hamilton’s equations are obtained. It is explicitly shown that models of fractional sequential mechanics are non-conservative. The limiting procedure recovers classical generalized mechanics of systems depending on higher order derivatives. The method is applied to fractional deformation of harmonic oscillator and to the case of classical frictional force proportional to velocity.
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Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena
A.J. Majda, P.R. Kramer
Publication information: A.J. Majda, P.R. Kramer. Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena. Physics Reports, 1999, 314: 237-574. http://www.sciencedirect.com/science/article/pii/S0370157398000830
Abstract
Several simple mathematical models for the turbulent diffusion of a passive scalar field are developed here with an emphasis on the symbiotic interaction between rigorous mathematical theory (including exact solutions), physical intuition, and numerical simulations. The homogenization theory for periodic velocity fields and random velocity fields with short-range correlations is presented and utilized to examine subtle ways in which the flow geometry can influence the large-scale effective scalar diffusivity. Various forms of anomalous diffusion are then illustrated in some exactly solvable random velocity field models with long-range correlations similar to those present in fully developed turbulence. Here both random shear layer models with special geometry but general correlation structure as well as isotropic rapidly decorrelating models are emphasized. Some of the issues studied in detail in these models are superdiffusive and subdiffusive transport, pair dispersion, fractal dimensions of scalar interfaces, spectral scaling regimes, small-scale and large-scale scalar intermittency, and qualitative behavior over finite time intervals. Finally, it is demonstrated how exactly solvable models can be applied to test and design numerical simulation strategies and theoretical closure approximations for turbulent diffusion.
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