FDA Express

FDA Express    Vol. 8, No. 6, Sep. 30, 2013

Editors: http://em.hhu.edu.cn/fda/Editors.htm

Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com, hushuaihhu@gmail.com

For subscription: http://em.hhu.edu.cn/fda/subscription.htm

PDF Download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol8_No6_2013.pdf

↑  Latest SCI Journal Papers on FDA

(Searched on 30th September 2013)

↑  Call for paper

Special Issue on "Fractional Dynamics and Its Applications" in the journal "Nonlinear Dynamics

Special Issue on "Theory and Applications of Fractional Order Systems" in Mathematical Problems in Engineering

↑  Books

Special Functions in Fractional Calculus and Related Fractional Differintegral Equation

↑  Journals

Communications in Nonlinear Science and Numerical Simulation

International Journal of Bifurcation and Chaos

  Paper Highlight

Paradox of enrichment: A fractional differential approach with memory

State transition of a non-Ohmic damping system in a corrugated plane

  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 30th September 2013)

Title: Models and numerical schemes for generalized van der Pol equations
Author(s): Xu, Yufeng; Agrawal, Om P.
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18 Issue: 12 Pages: 3575-3589 DOI:10.1016/j.cnsns.2013.04.022 Published: DEC 2013

Title: Finite element analysis and experimental study on dynamic properties of a composite beam with viscoelastic damping
Author(s): Wang, Ya; Inman, Daniel J.
Source: JOURNAL OF SOUND AND VIBRATION Volume: 332 Issue: 23 Pages: 6177-6191 DOI: 10.1016/j.jsv.2013.06.016 Published: NOV 11 2013

Title: Fractional Sturm-Liouville eigen-problems: Theory and numerical approximation
Author(s): Zayernouri, Mohsen; Karniadakis, George Em
Source: JOURNAL OF COMPUTATIONAL PHYSICS Volume: 252 Pages: 495-517 DOI: 10.1016/j.jcp.2013.06.031 Published: NOV 1 2013

Title: On dyadic nonlocal Schrodinger equations with Besov initial data
Author(s): Aimar, Hugo; Bongioanni, Bruno; Gomez, Ivana
Source: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 407 Issue: 1 Pages: 23-34 DOI: 10.1016/j.jmaa.2013.05.001 Published: NOV 1 2013

Title: Fractional Voronovskaya type asymptotic expansions for bell and squashing type neural network operators
Author(s): Anastassiou, George A.
Source: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 15 Issue: 7 Pages: 1231-1239 Published: NOV 2013

Title: Polarimetric SAR statistical analysis using alpha-stable distribution and its application in optimal despeckling
Author(s): Bian, Yong
Source: INTERNATIONAL JOURNAL OF REMOTE SENSING Volume: 34 Issue: 19 Pages: 6796-6836 DOI: 10.1080/01431161.2013.808778 Published: OCT 10 2013

Title: Berry-Esseen bounds for the least squares estimator for discretely observed fractional Ornstein-Uhlenbeck processes
Author(s): Es-Sebaiy, Khalifa
Source: STATISTICS & PROBABILITY LETTERS Volume: 83 Issue: 10 Pages: 2372-2385 DOI: 10.1016/j.spl.2013.06.032 Published: OCT 2013

Title: Optimization of Fractional-Order RLC Filters
Author(s): Radwan, Ahmed G.; Fouda, M. E.
Source: CIRCUITS SYSTEMS AND SIGNAL PROCESSING Volume: 32 Issue: 5 Pages: 2097-2118 DOI: 10.1007/s00034-013-9580-9 Published: OCT 2013

Title: Plane Deformation Due to Thermal Source in Fractional Order Thermoelastic Media
Author(s): Kumar, Rajneesh; Gupta, Vandana; Abbas, Ibrahim A.
Source: JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE Volume: 10 Issue: 10 Pages: 2520-2525 DOI: 10.1166/jctn.2013.3241 Published: OCT 2013

Title: Physics in space-time with scale-dependent metrics
Author(s): Balankin, Alexander S.
Source: PHYSICS LETTERS A Volume: 377 Issue: 25-26 Pages: 1606-1610 DOI: 10.1016/j.physleta.2013.04.040 Published: OCT 1 2013

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Call for paper

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Special Issue on "Fractional Dynamics and Its Applications" in the journal "Nonlinear Dynamics (Impact factor: 3.009)"

(Contributed by Prof. Yong Zhou)

Guest Editors
Prof. Yong Zhou, Faculty of Mathematics and Computational Science, Xiangtan University, China

Prof. Clara Ionescu, Department of Electrical engineering, Systems and Automation, Faculty of Applied Sciences, Ghent University, Belgium
Prof. J. A. Tenreiro Machado, Department of Electrical Engineering, ISEP-Institute of Engineering Polytechnic of Porto, Portugal
Subject Coverage

Stability of fractional-order systems
Bifurcations and chaos of fractional dynamical systems
Fractional dynamics & Hamiltonian systems
Identification of fractional systems
Fractional-order modelling and control of biomedical phenomena
Fractional signal processing

Deadline
Nov. 30, 2013

Submission of Manuscripts
Please kindly note that all manuscripts should be submitted electronically by using online manuscript submission system. This specisl issue will include 10 papers. Be advised that each author will only be allowed to have one manuscripts in the special issue either as a corresponding author or contributing author. There are no page charges.

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Call for papers: Special Issue on "Theory and Applications of Fractional Order Systems"
---in Mathematical Problems in Engineering

(Contributed by Prof. Riccardo Caponetto)

The advantages of fractional calculus and fractional order models (i.e., differential systems involving fractional order integrodifferential operators) and their applications have already been intensively studied during the last few decades with excellent results.

The long-range temporal or spatial dependence phenomena inherent to the fractional order systems present unique peculiarities not supported by their integer order counterpart, which permit better models of the dynamics of complex processes. Therefore, in many cases, these properties make fractional order system more adequate than usually adopted integer order one. Although noninteger differentiation has become a more and more popular tool for modeling and controlling the behaviors of physical systems from diverse applied branches of the science and engineering such as mechanics, electricity, chemistry, biology, and economics, many problems remain to be explored and solved.

This special issue aims to bring together the latest advances in theory and applications of fractional order systems.
Potential topics include, but are not limited to:

Before submission authors should carefully read over the journal*s Author Guidelines, which are located at http://www.hindawi.com/journals/mpe/guidelines/.
Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/mpe/fos/ according to the following timetable:

Manuscript Due Friday, 3 January 2014
First Round of Reviews Friday, 28 March 2014
Publication Date Friday, 23 May 2014

Lead Guest Editor
Riccardo Caponetto, Department of Electrical, Electronics and Computer Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy; riccardo.caponetto@dieei.unict.it

Guest Editors
Juan J. Trujillo, Universidad de La Laguna, Department of An芍lisis Matem芍tico, C/Astr Francisco S芍nchez S/N, Tenerife, 38271 La Laguna, Spain; jtrujill@ullmat.es

J. A. Tenreiro Machado, Institute of Engineering (ISEP), Polytechnic of Porto, Department of Electrical Engineering, Rua Dr. Antonio Bernardino de Almeida, 431, 4200-072 Porto, Portugal; jtm@isep.ipp.pt

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Books

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Spatial Simulation: Exploring Pattern and Process

David O'Sullivan, George L. W. Perry

Book Description

A ground-up approach to explaining dynamic social modelling for an interdisciplinary audience.

Across broad areas of the environmental and social sciences, simulation models are an important way to study systems inaccessible to scientific experimental and observational methods, and also an essential complement to those more conventional approaches. The contemporary research literature is teeming with abstract simulation models whose presentation is mathematically demanding and requires a high level of knowledge of quantitative and computational methods and approaches. Furthermore, simulation models designed to represent specific systems and phenomena are often complicated, and, as a result, difficult to reconstruct from their descriptions in the literature. This book aims to provide a practical and accessible account of dynamic spatial modelling, while also equipping readers with a sound conceptual foundation in the subject, and a useful introduction to the wide-ranging literature.

Spatial Simulation: Exploring Pattern and Process is organised around the idea that a small number of spatial processes underlie the wide variety of dynamic spatial models. Its central focus on three &building-blocks* of dynamic spatial models 每 forces of attraction and segregation, individual mobile entities, and processes of spread 每 guides the reader to an understanding of the basis of many of the complicated models found in the research literature. The three building block models are presented in their simplest form and are progressively elaborated and related to real world process that can be represented using them. Introductory chapters cover essential background topics, particularly the relationships between pattern, process and spatiotemporal scale. Additional chapters consider how time and space can be represented in more complicated models, and methods for the analysis and evaluation of models. Finally, the three building block models are woven together in a more elaborate example to show how a complicated model can be assembled from relatively simple components.

To aid understanding, more than 50 specific models described in the book are available online at patternandprocess.org for exploration in the freely available Netlogo platform. This book encourages readers to develop intuition for the abstract types of model that are likely to be appropriate for application in any specific context. Spatial Simulation: Exploring Pattern and Process will be of interest to undergraduate and graduate students taking courses in environmental, social, ecological and geographical disciplines. Researchers and professionals who require a non-specialist introduction will also find this book an invaluable guide to dynamic spatial simulation.

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Journals

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Communications in Nonlinear Science and Numerical Simulation

Volume 19, Issue 2

Special Issue Articles

An extension of the Noether theorem: Accompanying equations possessing conservation laws
V.A. Dorodnitsyn, N.H. Ibragimov

Effect of resonant absorption in viscous and dry vibrating contact: Mathematical models and theory connected with slow dynamics and friction welding
R.K. Gazizov, N.H. Ibragimov, O.V. Rudenko

Group classification of ODE image
A.A. Gainetdinova, N.H. Ibragimov, S.V. Meleshko

On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models
Igor Leite Freire, J迆lio Cesar Santos Sampaio

Nonlinear self-adjointness of the Krichever每Novikov equation
L.R. Galiakberova, N.H. Ibragimov

Group classification and conservation laws of nonlinear filtration equation with a small parameter
A.A. Alexandrova, N.H. Ibragimov, V.O. Lukashchuk

Conservations laws for a porous medium equation through nonclassical generators
M.L. Gandarias

On the nonlinear self-adjointness of the Zakharov每Kuznetsov equation
Rita Tracin角

Conservation laws for two-phase filtration models
V.A. Baikov, N.H. Ibragimov, I.S. Zheltova, A.A. Yakovlev

An approximate solution method for ordinary fractional differential equations with the Riemann每 Liouville fractional derivatives
S.Yu. Lukashchuk

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International Journal of Bifurcation and Chaos

Volume 23, Number 08

MODEL IMPERFECTION AND PREDICTING PREDICTABILITY
REASON L. MACHETE

THE BUNDLE PLOT: EVOLUTION OF SYMBOLIC SPACE UNDER THE SYSTEM PARAMETER CHANGES
JIONGXUAN ZHENG, JOSEPH D. SKUFCA, ERIK M. BOLLT

BIFURCATION, CHAOS AND THEIR CONTROL IN A TIME-DELAY DIGITAL TANLOCK LOOP
TANMOY BANERJEE, BISHWAJIT PAUL, B. C. SARKAR

POLYNOMIAL DECAY OF CORRELATIONS IN THE GENERALIZED BAKER'S TRANSFORMATION
CHRISTOPHER BOSE, RUA MURRAY

QUANTIZATION EFFECT ON A SECOND-ORDER DYNAMICAL SYSTEM UNDER SLIDING-MODE CONTROL
YAN YAN, XINGHUO YU, SHUANGHE YU

STOCHASTIC AND COHERENCE RESONANCES IN A MODIFIED CHUA'S CIRCUIT SYSTEM WITH MULTI-SCROLL ORBITS
S. ARATHI, S. RAJASEKAR, J. KURTHS

CHAOS IN THE WEIGHTED BIEBUTOV SYSTEMS
XINXING WU, PEIYONG ZHU

SYNCHRONIZATION AND BASINS OF SYNCHRONIZED STATES IN TWO-DIMENSIONAL PIECEWISE MAPS VIA COUPLING THREE PIECES OF ONE-DIMENSIONAL MAPS
DANIELE FOURNIER-PRUNARET, J. LEONEL ROCHA, ACILINA CANECO, SARA FERNANDES, CLARA GRACIO

GENERALIZED MEMORY ELEMENT AND CHAOTIC MEMORY SYSTEM
BOCHENG BAO, XIANG ZOU, ZHONG LIU, FENGWEI HU

DYNAMICS OF THE MUTHUSWAMY每CHUA SYSTEM
YUANFAN ZHANG, XIANG ZHANG

QUADRATIC PERTURBATIONS OF A CLASS OF QUADRATIC REVERSIBLE LOTKA每VOLTERRA SYSTEMS
YI SHAO, A. CHUNXIANG

STABILITY OF REGULATORY PROTEIN GRADIENTS INDUCED BY MORPHOGEN DPP IN DROSOPHILAWING DISC
HONGWEI YIN, XIAOYONG XIAO, XIAOQING WEN, TIANSHOU ZHOU

INTERMITTENCY AND CHAOS NEAR HOPF BIFURCATION WITH BROKEN 𝕆(2) ℅ 𝕆(2) SYMMETRY
YANG ZOU, GERHARD DANGELMAYR, IULIANA OPREA

GLOBAL PHASE PORTRAITS OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A SEMI-ELEMENTAL TRIPLE NODE
JOAN C. ARTÉS, ALEX C. REZENDE, REGILENE D. S. OLIVEIRA

COMPUTING ALL SPARSE KINETIC STRUCTURES FOR A LORENZ SYSTEM USING OPTIMIZATION
ZOLTÁN ANDRÁS TUZA, GÁBOR SZEDERKÉNYI, KATALIN M. HANGOS, ANTONIO A. ALONSO, JULIO R. BANGA

NONLINEAR DYNAMICS OF AN OSCILLATORY NEURAL NETWORK ACTING AS A MOTOR CENTRAL PATTERN GENERATOR
J. HURTADO-LÓPEZ, D. F. RAMÍREZ-MORENO

BIFURCATION OF LIMIT CYCLES BY PERTURBING A PERIODIC ANNULUS WITH MULTIPLE CRITICAL POINTS
GUIFENG CHANG, MAOAN HAN

SLIDING BIFURCATION AND GLOBAL DYNAMICS OF A FILIPPOV EPIDEMIC MODEL WITH VACCINATION
AILI WANG, YANNI XIAO

SYNCHRONIZATION AND STABILIZATION OF MULTI-SCROLL INTEGER AND FRACTIONAL ORDER CHAOTIC ATTRACTORS GENERATED USING TRIGONOMETRIC FUNCTIONS
FEI XU, PEI YU, XIAOXIN LIAO

CHAOS MULTISCALE-SYNCHRONIZATION BETWEEN TWO DIFFERENT FRACTIONAL-ORDER HYPERCHAOTIC SYSTEMS BASED ON FEEDBACK CONTROL
LIN PAN, ZHIHONG GUAN, LONG ZHOU

STRONG LAWS FOR RECURRENCE QUANTIFICATION ANALYSIS
M. GRENDÁR, J. MAJEROVÁ, V. ŠPITALSKÝ

ERRORLESS DESCRIPTION WITH TWO RULES OF CELLULAR AUTOMATA FOR DIGITAL SOUND DATA
JOUSUKE KUROIWA, SHIGETOSHI NARA

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Paper Highlight
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Paradox of enrichment: A fractional differential approach with memory

Sourav Rana, Sabyasachi Bhattacharya, Joydeep Pal, Gaston M. N'Gu谷r谷kata, Joydev Chattopadhyay

Publication information: Sourav Rana, Sabyasachi Bhattacharya, Joydeep Pal, Gaston M. N'Gu谷r谷kata, Joydev Chattopadhyay, Paradox of enrichment: A fractional differential approach with memory, Physica A 392 (2013) 3610-3621.http://www.sciencedirect.com/science/article/pii/S037843711300294X#

Abstract
The paradox of enrichment (PoE) proposed by Rosenzweig [M. Rosenzweig, The paradox of enrichment, Science 171 (1971) 385每387] is still a fundamental problem in ecology. Most of the solutions have been proposed at an individual species level of organization and solutions at community level are lacking. Knowledge of how learning and memory modify behavioral responses to species is a key factor in making a crucial link between species and community levels. PoE resolution via these two organizational levels can be interpreted as a microscopic- and macroscopic-level solution. Fractional derivatives provide an excellent tool for describing this memory and the hereditary properties of various materials and processes. The derivatives can be physically interpreted via two time scales that are considered simultaneously: the ideal, equably flowing homogeneous local time, and the cosmic (inhomogeneous) non-local time. Several mechanisms and theories have been proposed to resolve the PoE problem, but a universally accepted theory is still lacking because most studies have focused on local effects and ignored non-local effects, which capture memory. Here we formulate the fractional counterpart of the Rosenzweig model and analyze the stability behavior of a system. We conclude that there is a threshold for the memory effect parameter beyond which the Rosenzweig model is stable and may be used as a potential agent to resolve PoE from a new perspective via fractional differential equations.

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State transition of a non-Ohmic damping system in a corrugated plane

Kun L邦 and Jing-Dong Bao

Publication information: Kun L邦 and Jing-Dong Bao. State transition of a non-Ohmic damping system in a corrugated plane. Physical Review E, 2007, 76, 061119.
http://dx.doi.org/10.1103/PhysRevE.76.061119

Abstract
Anomalous transport of a particle subjected to non-Ohmic damping of the power
d in a tilted periodic potential is investigated via Monte Carlo simulation of the generalized Langevin equation. It is found that the system exhibits two relative motion modes: the locked state and the running state. In an environment of sub-Ohmic damping 0< d <1, the particle should transfer into a running state from a locked state only when local minima of the potential vanish; hence a synchronization oscillation occurs in the particle*s mean displacement and mean square displacement (MSD). In particular, the two motion modes are allowed to coexist in the case of super-Ohmic damping 1< d <2 for moderate driving forces, namely, where double centers exist in the velocity distribution. This causes the particle to have faster diffusion, i.e., its MSD reads <x^2(t)>=2D^ d _eff t^ {d_eff}. Our result shows that the effective power index d_eff can be enhanced and is a nonmonotonic function of the temperature and the driving force. The mixture of the two motion modes also leads to a breakdown of the hysteresis loop of the mobility.

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