FDA Express Vol. 4, No. 4, Aug. 30, 2012
Editors:
W. Chen H.G. Sun
X.D. Zhang
S. Hu
Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com,
fdaexpress@hhu.edu.cn
For subscription:
http://em.hhu.edu.cn/fda/subscription.htm
◆ Latest SCI Journal Papers on FDA
FDA Paper Published in August 2012
◆ Books
Fractional Derivatives in Physics
Intelligent Fractional Order Systems and Control
◆ Journals
Fractals
International
Journal of Bifurcation and Chaos (IJBC)
Chaos
◆ Classical Papers
Maximizing information exchange between complex networks
Anomalous Diffusion of a Polymer Chain in an Unentangled Melt
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Latest
SCI Journal Papers on FDA
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FDA Paper Published in August 2012
1. Title:
Fractional-Order Time
Series Models for Extracting the Haemodynamic Response From Functional Magnetic
Resonance Imaging Data
Author(s): Barbe, Kurt; Van Moer,
Wendy; Nagels, Guy
Source: IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING Volume: 59 Issue: 8
Pages: 2264-2272 DOI: 10.1109/TBME.2012.2202117 Published: AUG 2012
2. Title:
High-Order Accurate
Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional
Fractional Diffusion Equations
Author(s): Ji, Xia; Tang,
Huazhong
Source: NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS Volume: 5
Issue: 3 Pages: 333-358 DOI: 10.4208/nmtma.2012.m1107 Published: AUG
2012
3. Title:
Control of an uncertain
fractional-order Liu system via fuzzy fractional-order sliding mode control
Author(s): Faieghi, Mohammad
Reza; Delavari, Hadi; Baleanu, Dumitru
Source: JOURNAL OF VIBRATION AND CONTROL Volume: 18 Issue: 9 Pages:
1366-1374 DOI: 10.1177/1077546311422243 Published: AUG 2012
4. Title:
Nonlinear dynamics and
chaos in fractional-order neural networks
Author(s): Kaslik, Eva;
Sivasundaram, Seenith
Source: NEURAL NETWORKS Volume: 32 Special Issue: SI Pages: 245-256 DOI:
10.1016/j.neunet.2012.02.030 Published: AUG 2012
5. Title:
Application of the
fractional neutron point kinetic equation: Start-up of a nuclear reactor
Author(s): Polo-Labarrios, M.
-A.; Espinosa-Paredes, G.
Source: ANNALS OF NUCLEAR ENERGY Volume: 46 Pages: 37-42 DOI:
10.1016/j.anucene.2012.03.015 Published: AUG 2012
6. Title:
Hopf bifurcation for a
class of fractional differential equations with delay
Author(s): Babakhani, Azizollah;
Baleanu, Dumitru; Khanbabaie, Reza
Source: NONLINEAR DYNAMICS Volume: 69 Issue: 3 Pages: 721-729 DOI:
10.1007/s11071-011-0299-5 Published: AUG 2012
7. Title:
Fractional Euler-Lagrange
equations revisited
Author(s): Herzallah, Mohamed A.
E.; Baleanu, Dumitru
Source: NONLINEAR DYNAMICS Volume: 69 Issue: 3 Pages: 977-982 DOI:
10.1007/s11071-011-0319-5 Published: AUG 2012
8. Title:
Robust chaos
synchronization of fractional-order chaotic systems with unknown parameters and
uncertain perturbations
Author(s): Zhang, Ruoxun; Yang,
Shiping
Source: NONLINEAR DYNAMICS Volume: 69 Issue: 3 Pages: 983-992 DOI:
10.1007/s11071-011-0320-z Published: AUG 2012
9. Title:
Synchronization of
nonidentical chaotic fractional-order systems with different orders of
fractional derivatives
Author(s): Wang, Zhen; Huang,
Xia; Zhao, Zhao
Source: NONLINEAR DYNAMICS Volume: 69 Issue: 3 Pages: 999-1007 DOI:
10.1007/s11071-011-0322-x Published: AUG 2012
10. Title:
An extended formulation
of calculus of variations for incommensurate fractional derivatives with
fractional performance index
Author(s): Razminia, Abolhassan;
Majd, Vahid Johari; Dizaji, Ahmad Feyz
Source: NONLINEAR DYNAMICS Volume: 69 Issue: 3 Pages: 1263-1284 DOI:
10.1007/s11071-012-0345-y Published: AUG 2012
11. Title:
Automated design of
fractional PI QFT controller using interval constraint satisfaction technique (ICST)
Author(s): Patil, Mukesh D.;
Nataraj, P. S. V.; Vyawahare, Vishwesh A.
Source: NONLINEAR DYNAMICS Volume: 69 Issue: 3 Pages: 1405-1422 DOI:
10.1007/s11071-012-0357-7 Published: AUG 2012
12. Title:
On a fractional boundary
value problem with fractional boundary conditions
Author(s): Goodrich, Christopher
S.
Source: APPLIED MATHEMATICS LETTERS Volume: 25 Issue: 8 Pages: 1101-1105 DOI:
10.1016/j.aml.2011.11.028 Published: AUG 2012
13. Title:
Positive solutions of
singular Caputo fractional differential equations with integral boundary
conditions
Author(s): Wei, Zhongli; Pang,
Changci; Ding, Youzheng
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 17
Issue: 8 Pages: 3148-3160 DOI: 10.1016/j.cnsns.2011.12.010 Published:
AUG 2012
14. Title:
Projective
synchronization of different fractional-order chaotic systems with non-identical
orders
Author(s): Si, Gangquan; Sun,
Zhiyong; Zhang, Yanbin; et al.
Source:
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS Volume: 13 Issue: 4 Pages:
1761-1771 DOI: 10.1016/j.nonrwa.2011.12.006 Published: AUG 2012
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Books
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Fractional Derivatives in Physics
Uchaikin, Vladimir V.
The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. Fractional Derivatives for Physicists and Engineers— The first volume contains a clear introduction into such a modern branch of analysis as the fractional calculus. The second develops a wide panorama of applications of the fractional calculus to various physical problems. This book recovers new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics.
The book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular.
Prof. Vladimir V. UCHAIKIN is a known Russian scientist and pedagogue, a Honored Worker of Russian High School, a member of the Russian Academy of Natural Sciences. He is the author of about three hundreds articles and more than a dozen books (mostly in Russian) in Cosmic ray physics, Mathematical physics, Levy stable statistics, Monte Carlo methods with applications to anomalous processes in complex systems of various levels: from quantum dots to the Milky Way galaxy.
Keywords: Applications Fractional derivatives - Fractals physics - Hereditarity - Stable statistics
Related subjects: Computational Science & Engineering - Physical & Information Science - Theoretical, Mathematical & Computational Physics
Table of contents:
-
Physical Basics.
- Fractional Derivatives.
- Fractional Equations.
- Applications.
- Mechanics.
- Kinetics.
- Electrodynamics.
- Atomic Physics.
- Space Physics.
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Intelligent Fractional
Order Systems and Control
Pan, Indranil, Das, Saptarshi
http://www.springer.com/engineering/computational+intelligence+and+complexity/book/978-3-642-31548-0
Computational Intelligence (CI) techniques have been applied to engineering problems to find solutions to many hitherto intractable conundrums and is a useful tool for dealing with problems of higher computational complexity. This book borders on the interface between CI techniques and fractional calculus, and looks at ways in which fractional order control systems may be designed or enhanced using CI based paradigms. To the best of the author’s knowledge this is the first book of its kind exclusively dedicated to the application of computational intelligence techniques in fractional order systems and control. The book tries to assimilate various existing concepts in this nascent field of fractional order intelligent control and is aimed at researchers and post graduate students working in this field.
Keywords: Computational Intelligence - Control - Fractional Calculus - Intelligent Fractional Order Systems
Related subjects: Computational Intelligence and Complexity - Control Engineering
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Volume 20, Number 02
Natural Cubic
Spline Coalescence Hidden Variable Fractal Interpolation Surfaces
A. K. B. Chand
Study On The
Fractal And Chaotic Features Of The Shanghai Composite Index
Fenghua Wen, Zhong Li, Chaohua Xie, David Shaw
Fractal Bases
Of Lp Spaces
M. A. Navascués
Spectrum And
Heat Kernel Asymptotics On General Laakso Spaces
Matthew Begué, Levi Devalve, David Miller, Benjamin Steinhurst
Conservative
Self-Organized Extremal Model For Wealth Distribution
Abhijit Chakraborty, G. Mukherjee, S. S. Manna
Fractal
Self-Organization Of Bacteria-Inspired Agents
Yufeng Huang, Ian Krumanocker, Marc-Olivier Coppens
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in Applied Sciences and EngineeringVolume: 22, Number:
7
Theme Section: Complex Network Systems — From Theory To Applications
Editorial
R. Criado, M. Romance, Y. Moreno, J. Gómez-Gardeñes
Theme Section: Complex Network Systems — From Theory To Applications: Tutorials And Reviews
Unsupervised
Clustering Analysis: A Multiscale Complex Networks Approach
Clara Granell, Sergio Gómez, Alex Arenas
Theme Section: Complex Network Systems — From Theory To Applications: Papers
Complex
Networks Evolutionary Dynamics Using Genetic Algorithms
Daniel Aguilar-Hidalgo, Antonio Córdoba Zurita, Ma Carmen Lemos Fernández
Topological
Versus Dynamical Robustness In A Lexical Network
Javier Borge-Holthoefer, Yamir Moreno, Alex Arenas
Redundancy In
Functional Brain Connectivity From Eeg Recordings
Fabrizio De Vico Fallani, Jlenia Toppi, Claudia Di Lanzo, Giovanni Vecchiato,
Laura Astolfi, Gianluca Borghini, Donatella Mattia, Febo Cincotti, Fabio
Babiloni
Reliability Of
Optimal Linear Projection Of Growing Scale-Free Networks
Pau Erola, Javier Borge-Holthoefer, Sergio Gomez, Alex Arenas
Detecting
Series Periodicity With Horizontal Visibility Graphs
Angel Nuñez, Lucas Lacasa, Eusebio Valero, Jose Patricio Gómez, Bartolo Luque
Pacemakers In A
Cayley Tree Of Kuramoto Oscillators
Pablo M. Gleiser, Luce Prignano, Conrad J. Pérez-Vicente, Albert Díaz-Guilera
A Model To
Classify Users Of Social Networks Based On Pagerank
Francisco Pedroche
A
Post-Processing Method For Interest Point Location In Images By Using Weighted
Line-Graph Complex Networks
Regino Criado, Miguel Romance, Ángel Sánchez
Dynamics Of
Persistent Infections In Homogeneous Populations
Joaquín Sanz, Luis Mario Floría, Yamir Moreno
Exploring The
Kibble–Zurek Mechanism In A Secondary Bifurcation
M. A. Miranda, J. Burguete, W. González-Viñas, H. Mancini
Hybrid
Recommendation Algorithm Based On Two Roles Of Social Tags
Zi-Ke Zhang, Chuang Liu
Theme Section: Dynamics And Processes Of Complex Networks
Editorial
M. Zanin, R. Gutiérrez, R. Bajo, J. M. Buldú, D. Papo, S. Boccaletti
Theme Section: Dynamics And Processes Of Complex Networks: Papers
Nonlocal
Analysis Of Modular Roles
J. M. Buldú, I. Sendiña-Nadal, I. Leyva, J. A. Almendral, M. Zanin, S.
Boccaletti
Adaptive
Growing Networks Coevolving With The Spread Of Diseases
Beniamino Guerra, Jesús Gómez-Gardeñes, Vito Latora
Complex
Dynamical Behaviors Of Deflection Routing On Grid Networks
Wilson Wang-Kit Thong, Guanrong Chen
Effects Of
Traffic Properties And Degree Heterogeneity In Flow Fluctuations On Complex
Networks
Sandro Meloni, Jesús Gómez-Gardeñes, Vito Latora, Yamir Moreno
Hierarchical
Multiresolution Method To Overcome The Resolution Limit In Complex Networks
Clara Granell, Sergio Gómez, Alex Arenas
Saddle-Node
Bifurcation Cascades And Associated Traveling Waves In Weakly Coupling Cml
Ma Dolores Sotelo Herrera, Jesús San Martín, Lucía Cerrada
Bifurcations In
A Star-Like Network Of Stuart–Landau Oscillators
Mattia Frasca, André Bergner, Jürgen Kurths, Luigi Fortuna
Structure And
Dynamics: The Transition From Nonequilibrium To Equilibrium In
Integrate-And-Fire Dynamics
Cesar H. Comin, João L. B. Batista, Matheus P. Viana, Luciano Da F. Costa, Bruno
A. N. Travençolo, Marcus Kaiser
Noise-Induced
Up/Down Dynamics In Scale-Free Neuronal Networks
Jordi Grau-Moya, Antonio J. Pons, Jordi Garcia-Ojalvo
Pinning
Impulsive Stabilization Of Nonlinear Dynamical Networks With Time-Varying Delay
Jianquan Lu, Zidong Wang, Jinde Cao, Daniel W.C. Ho, Jürgen Kurths
Targeting And
Control Of Synchronization In Chaotic Oscillators
E. Padmanaban, Ranjib Banerjee, Shyamal Kumar Dana
Global And
Partial Phase Synchronizations In Arrays Of Piecewise Linear Time-Delay Systems
R. Suresh, D. V. Senthilkumar, M. Lakshmanan, J. Kurths
Synchronization
Of Moving Integrate And Fire Oscillators
Luce Prignano, Oleguer Sagarra, Pablo M. Gleiser, Albert Diaz-Guilera
Modeling The
Evolution Of Item Rating Networks Using Time-Domain Preferential Attachment
Edmundo F. Lavia, Ariel Chernomoretz, Javier M. Buldú, Massimiliano Zanin, Pablo
Balenzuela
Dependency
Network And Node Influence: Application To The Study Of Financial Markets
Dror Y. Kenett, Tobias Preis, Gitit Gur-Gershgoren, Eshel Ben-Jacob
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Volume 22, Issue 2, 2012
Components in time-varying
graphs
,
, ,
, , and
A general fractional-order
dynamical network: Synchronization behavior and state tuning
and
Iterated function system
models in data analysis: Detection and separation
,
, , and
Neuronal avalanches of a
self-organized neural network with active-neuron-dominant structure
and
Experimental evidence of
synchronization of time-varying dynamical network
,
, and
Stochastic stability of
genetic regulatory networks with a finite set delay characterization
,
, , and
Using filtering effects to
identify objects
and
Partial synchronization in
stochastic dynamical networks with switching communication channels
,
, , and
Finite-time stochastic
combination synchronization of three different chaotic systems and its
application in secure communication
and
Annual variability in a
conceptual climate model: Snapshot attractors, hysteresis in extreme events, and
climate sensitivity
and
Classical helium atom with
radiation reaction
,
, and
Pattern formation in a
reaction-diffusion-advection system with wave instability
Exact folded-band chaotic
oscillator
and
Diffusion in a collisional
standard map
,
, and
On finite-size Lyapunov
exponents in multiscale systems
and
Regular and chaotic
dynamics of a fountain in a stratified fluid
and
“Quorum sensing” generated
multistability and chaos in a synthetic genetic oscillator
,
, and
Generalized complexity
measures and chaotic maps
and
Alternative interpretations
of power-law distributions found in nature
and
Van der Pol and the history
of relaxation oscillations: Toward the emergence of a concept
and
Synchronizability of
small-world networks generated from ring networks with equal-distance edge
additions
,
, and
Fractal structures in
two-metal electrodeposition systems II: Cu and Zn
and
Natural time analysis of
the Centennial Earthquake Catalog
and
Anticipating, complete and
lag synchronizations in RC phase-shift network based coupled Chua’s circuits
without delay
,
,
, ,
, and
Effect of discrete time
observations on synchronization in Chua model and applications to data
assimilation
,
,
, , and
Sampling from complex
networks with high community structures
,
, and
Synchronization of a
network coupled with complex-variable chaotic systems
,
, and
Optimal signal
amplification in weighted scale-free networks
,
, and
Route to chaos for
combustion instability in ducted laminar premixed flames
,
, , and
Synchronization between
integer-order chaotic systems and a class of fractional-order chaotic systems
via sliding mode control
,
, ,
, and
Effects of noise on the
outer synchronization of two unidirectionally coupled complex dynamical networks
and
Dependence of chaotic
diffusion on the size and position of holes
,
, , and
Coherent periodic activity
in excitatory Erdös-Renyi neural networks: The role of network connectivity
,
, and
The curvature index and
synchronization of dynamical systems
and
Extreme value theory for
singular measures
,
, , and
A chaotic circuit based on
Hewlett-Packard memristor
,
, , and
Chaotification of complex
networks with impulsive control
,
, , and
Characterizing and modeling
an electoral campaign in the context of Twitter: 2011 Spanish Presidential
election as a case study
,
, , and
Parameter estimation of the
FitzHugh-Nagumo model using noisy measurements for membrane potential
,
, ,
, and
Landscapes of non-gradient
dynamics without detailed balance: Stable limit cycles and multiple attractors
and
Kinetic Monte Carlo
simulations of travelling pulses and spiral waves in the lattice Lotka-Volterra
model
,
, and
Identifying important nodes
in weighted functional brain networks: A comparison of different centrality
approaches
,
, , and
Describing high-dimensional
dynamics with low-dimensional piecewise affine models: Applications to renewable
energy
and
Composite adaptive fuzzy
control for synchronizing generalized Lorenz systems
,
, and
Simple adaptive
output-feedback lag-synchronization of multiple time-delayed chaotic systems
and
Anti-phase synchronization
of two coupled mechanical metronomes
,
, , and
Phase-flip transition in
nonlinear oscillators coupled by dynamic environment
,
, and
Phase-flip transition in
nonlinear oscillators coupled by dynamic environment
,
, and
Propagation of a solitary
fission wave
,
, and
The study of amplitude
death in globally delay-coupled nonidentical systems based on order parameter
expansion
,
, and
Epidemic variability in
hierarchical geographical networks with human activity patterns
,
, and
Lag synchronization and
scaling of chaotic attractor in coupled system
,
, , and
Finite-time stochastic
outer synchronization between two complex dynamical networks with different
topologies
,
,
and
========================================================================
Maximizing information exchange between complex networks
Bruce J. West, Elvis L. Geneston, Paolo Grigolini
Publication information: Bruce J. West, Elvis L. Geneston, Paolo Grigolini, Maximizing information exchange between complex networks, Physics Reports 468 (2008) 1-99. http://www.sciencedirect.com/science/article/pii/S0370157308002214
Abstract
Science is not merely the smooth progressive interaction of hypothesis, experiment and theory, although it sometimes has that form. More realistically the scientific study of any given complex phenomenon generates a number of explanations, from a variety of perspectives, that eventually requires synthesis to achieve a deep level of insight and understanding. One such synthesis has created the field of out-of-equilibrium statistical physics as applied to the understanding of complex dynamic networks. Over the past forty years the concept of complexity has undergone a metamorphosis. Complexity was originally seen as a consequence of memory in individual particle trajectories, in full agreement with a Hamiltonian picture of microscopic dynamics and, in principle, macroscopic dynamics could be derived from the microscopic Hamiltonian picture. The main difficulty in deriving macroscopic dynamics from microscopic dynamics is the need to take into account the actions of a very large number of components. The existence of events such as abrupt jumps, considered by the conventional continuous time random walk approach to describing complexity was never perceived as conflicting with the Hamiltonian view. Herein we review many of the reasons why this traditional Hamiltonian view of complexity is unsatisfactory. We show that as a result of technological advances, which make the observation of single elementary events possible, the definition of complexity has shifted from the conventional memory concept towards the action of non-Poisson renewal events. We show that the observation of crucial processes, such as the intermittent fluorescence of blinking quantum dots as well as the brain's response to music, as monitored by a set of electrodes attached to the scalp, has forced investigators to go beyond the traditional concept of complexity and to establish closer contact with the nascent field of complex networks. Complex networks form one of the most challenging areas of modern research overarching all of the traditional scientific disciplines. The transportation networks of planes, highways and railroads; the economic networks of global finance and stock markets; the social networks of terrorism, governments, businesses and churches; the physical networks of telephones, the Internet, earthquakes and global warming and the biological networks of gene regulation, the human body, clusters of neurons and food webs, share a number of apparently universal properties as the networks become increasingly complex. Ubiquitous aspects of such complex networks are the appearance of non-stationary and non-ergodic statistical processes and inverse power-law statistical distributions. Herein we review the traditional dynamical and phase_space methods for modeling such networks as their complexity increases and focus on the limitations of these procedures in explaining complex networks. Of course we will not be able to review the entire nascent field of network science, so we limit ourselves to a review of how certain complexity barriers have been surmounted using newly applied theoretical concepts such as aging, renewal, non-ergodic statistics and the fractional calculus. One emphasis of this review is information transport between complex networks, which requires a fundamental change in perception that we express as a transition from the familiar stochastic resonance to the new concept of complexity matching.
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Anomalous Diffusion of a Polymer Chain in an Unentangled Melt
J. Farago, H. Meyer, and A. N. Semenov
Publication information: J. Farago, H. Meyer, and A. N. Semenov, Anomalous Diffusion of a Polymer Chain in an Unentangled Melt, PRL 107, 178301 (2011) DOI: 10.1103/PhysRevLett.107.178301.
Abstract
Contrary to common belief, hydrodynamic interactions in polymer melts are not screened beyond the monomer length and are important in transient regimes. We show that viscoelastic hydrodynamic interactions (VHIs) lead to anomalous dynamics of a tagged chain in an unentangled melt at t < tN, the Rouse time. The center-of-mass (c.m.) mean-square displacement is enhanced by a large factor increasing with chain length. We develop a theory of VHI-controlled chain dynamics yielding a negative c.m. velocity autocorrelation function which agrees with our molecular dynamics simulations without any fitting parameter. It is also shown that Langevin friction strongly affects the short-t c.m. dynamics, also captured by our theory. The transient VHI effects thus provide the dominant contribution to the subdiffusive c.m. motion universally observed in simulations and experiments.
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