FDA Express Vol. 8, No. 6, Sep. 30, 2013
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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
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↑ 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
↑ 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
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:
Anomalous diffusion
Applications of fractional systems
Biomedical engineering
Computational fractional derivative equations
Fractional operators and models
Modeling control and identification
Nonlocal phenomena
Numerical algorithms and computational aspects
Signal and imaging processing
Special functions and integral transforms related to fractional calculus
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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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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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
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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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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