FDA Express    Vol. 5, No. 1, Oct. 15, 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

◆  Conferences

International Conference on Fractional Differentiation and Its Applications ( ICFDA’14)

Last Reminder: Fractional dynamical systems and signals

◆  Call for paper

New Challenges in Fractional Systems

◆  Latest SCI Journal Papers on FDA

October & November 2012

◆  Books

Topics in Fractional Differential Equations

First Steps in Random Walks: From Tools to Applications

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

◆  Journals

Chaos

◆  Classical Papers

The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

Random walk approximation of fractional-order multiscaling anomalous diffusion

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Conferences

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The Website of International Conference on Fractional Differentiation and Its Applications (ICFDA’14)

The organization committee of the international conference on fractional differentiation and its applications has just opened its website at:

http://www.icfda14.dieei.unict.it/

This series of conferences is the largest of its kind. Following the previous successful conferences, 2004 in France, 2006 in Portugal, 2008 Turkey, 2010 in Spain, and 2012 in China, the ICFDA’14 is expected to be the largest gathering of researchers and practitioners in this field of research and applications. For the conference details, please visit the above website. The organizing committee invites you from all over the world to come to Catania, Italy to attend this wonderful event.

Last Reminder: Fractional dynamical systems and signals

-----A special session in European Control Conference 2013

http://www.ecc13.ch/
July 17-19 2013 in Zurich, Switzerland:

Special session invitation
Fractional dynamical systems and signals

Call for Papers

The goal of this special session is to gather colleagues that work in the field of fractional calculus in order to present the latest results in fractional dynamical systems and signals domain. Papers describing original research work that reflects the recent theoretical advances and experimental results as well as open new issues for research are invited.

This session will cover the following topics (but not limited to):
- Signal analysis and filtering with fractional tools (restoration, reconstruction, analysis of fractal noises,
- Fractional modeling especially of (but not limited to) thermal systems, electrical systems (motors, transformers, skin effect, …), dielectric materials, electrochemical systems (batteries, ultracapacitors, fuel cells, …), mechanical systems (vibration insulation, viscoelastic materials, …), Biological systems (muscles, lungs, …)
- System identification (linear, non linear, MIMO methods, …)
- Systems implementation (fractional controllers and filters implementation, …)
- Systems analysis (Stability, observability, controllability, …)
- Observers
- Control (Fractional PID, CRONE, H∞, …)
- Diagnosis of fractional systems

Submission Deadline: Contributed Papers and special issues must be submitted before October 19, 2012.

Submission Guidelines
Prepare our papers according to recommendations available at
http://www.ecc13.ch/call.html

Contact if you intend to participate

Jocelyn Sabatier
IMS/LAPS: Automatique, Productique, Signal et Image
Université Bordeaux1 - IPB -UMR 5218 CNRS
Bat A4 - 351, Cours de la Libération
33405 Talence Cedex, France
Email: jocelyn.sabatier@u-bordeaux1.fr

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Call for paper

The Special Issue “New Challenges in Fractional Systems” is posted on the journal Mathematical Problems in Engineering, Hindawi; at website: http://www.hindawi.com/journals/mpe/osi/

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 non-local 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 articles 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 integro-differential 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 non-standard dynamic behaviour, and the applications of fractional order systems are now well accepted in the following disciplines:

– Signal processing (filtering, restoration, reconstruction, analysis of fractal noises, ...);
– Image processing (fractal environment modelling, pattern recognition, edge detection, ...);
– Economy (analysis of stock exchange signals, ...);
– Electrical engineering (modelling of motors, transformers, skin effect, ...);
– Electronics, telecommunications (phase locking loops, ...);
– Electromagnetism (modelling of complex dielectric materials, ...);
– Electrochemistry (modelling of batteries and ultracapacitors ...);
– Thermal engineering (modelling and identification of thermal systems, ...);
– Mechanics, mechatronics (viscoelasticity, vibration insulation, ...);
– Automatic control (system identification, observation and control of fractional systems, ...);
– Biology, biophysics (signal and models of biological systems, viscoelasticity in biology, ...);
– Physics (analysis and modelling of diffusion phenomenon, ...).

The goal of the present special issue is to address the latest developments in the area of fractional calculus application in signals and systems. Papers describing original research work that reflects the recent theoretical advances and experimental results as well as open new avenues for research are invited on all aspects of object tracking. Before submission the authors should carefully read over the journal’s
Author Guidelines and submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System. Use websites:

http://www.hindawi.com/journals/mpe/guidelines/
http://mts.hindawi.com/.

Manuscript Due: November 9, 2012
First Round of Reviews: February 1, 2012
Publication Date: March 29, 2013
Lead Guest Editor: Jocelyn Sabatier
Guest Editors: Clara Ionescu, J´ozsef K´azm´er Tar, Jose A. Tenreiro Machado
Reported by J.A.Tenreiro Machado, Email: jtm@isep.ipp.pt

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Topics in Fractional Differential Equations

Saїd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata

(From: FCAA, Vol. 15, No. 4)

http://www.springer.com/mathematics/dynamical+systems/book/978-1-4614-4035-2.

Ser.: Developments in Mathematics, Vol. 27; ISBN: 978-1-4614-4035-2.

During the last decade, there has been an explosion of interest in fractional dynamics as it was found to play a fundamental role in the modeling of a considerable number of phenomena; in particular the modeling of memory-dependent and complex media. Fractional calculus generalizes integrals and derivatives to non-integer orders and has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. This book is addressed to a wide audience of researchers working with fractional dynamics, including mathematicians, engineers, biologists, and physicists. This timely publication may also be suitable for a graduate level seminar for students studying differential equations.

“Topics in Fractional Differential Equations” is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. In this book, problems are studied using the fixed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. An historical introduction to fractional calculus will be of general interest to a wide range of researchers. Chapter 1 contains some preliminary background results. Chapter 2 is devoted to fractional order partial functional differential equations. Chapter 3 is concerned with functional partial differential inclusions, while in Chapter 4, functional impulsive partial hyperbolic differential equations are considered. Chapter 5 is concerned with impulsive partial hyperbolic functional differential inclusions. Implicit partial hyperbolic differential equations are considered in Chapter 6, and finally in Chapter 7, Riemann-Liouville fractional order integral equations are considered. Each chapter concludes with a section devoted to notes and bibliographical remarks. The work is self-contained but also contains questions and directions for further research.

Content Level: Research

Keywords: - Caputo Fractional derivative - Darboux problem - Riemann-Liouville Integral equations - fractional calculus - fractional differential equations - hyperbolic partial differential equation
Related subjects: Analysis - Dynamical Systems & Differential Equations
Features:
– Discusses the progress of fractional calculus as a tool in the study of dynamical systems
– Presents solutions to the various classes of Darboux problems for hyperbolic differential equations
– Addresses a wide audience of specialists including mathematicians, engineers, biologists, and physicists

Table of Contents:
- Preface;
- 1. Preliminary Background;
- 2. Partial Hyperbolic Functional Differential Equations;
- 3. Partial Hyperbolic Functional Differential Inclusions;
- 4. Impulsive Partial Hyperbolic Functional Differential Equations;
- 5. Impulsive Partial Hyperbolic Functional Differential Inclusions;
- 6. Implicit Partial Hyperbolic Functional Differential Equations;
- 7. Fractional Order Riemann-Liouville Integral Equations;
- References;
- Index.

Chaos

Volume 22, Number 3

Depinning, front motion, and phase slips
Y.-P. Ma and E. Knobloch

Estimating the largest Lyapunov exponent and noise level from chaotic time series
Tian-Liang Yao, Hai-Feng Liu, Jian-Liang Xu, and Wei-Feng Li

Phantom instabilities in adiabatically driven systems: Dynamical sensitivity to computational precision
Haider Hasan Jafri, Thounaojam Umeshkanta Singh, and Ramakrishna Ramaswamy

Analysis of noise-induced transitions from regular to chaotic oscillations in the Chen system
Irina Bashkirtseva, Guanrong Chen, and Lev Ryashko

Effects of hybrid synapses on the vibrational resonance in small-world neuronal networks
Haitao Yu, Jiang Wang, Jianbing Sun, and Haifeng Yu

Short-term prediction of dynamical behavior of flame front instability induced by radiative heat loss
Hiroshi Gotoda, Takuya Ikawa, Koshiro Maki, and Takaya Miyano

Small-world topology of functional connectivity in randomly connected dynamical systems
J. Hlinka, D. Hartman, and M. Paluš

Semiconductor lasers driven by self-sustained chaotic electronic oscillators and applications to optical chaos cryptography
Sifeu Takougang Kingni, Jimmi Hervé Talla Mbé, and Paul Woafo

Different routes from a matter wavepacket to spatiotemporal chaos
Shiguang Rong, Wenhua Hai, Qiongtao Xie, and Honghua Zhong

Filippov systems and quasi-synchronization control for switched networks
Xiaoyang Liu, Jinde Cao, and Wenwu Yu

Design of coupling for synchronization in time-delayed systems
Dibakar Ghosh, Ioan Grosu, and Syamal K. Dana

On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics
A. Mauroy and I. Mezić

Generating self-organizing collective behavior using separation dynamics from experimental data
Graciano Dieck Kattas, Xiao-Ke Xu, and Michael Small

Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map
Renato Calleja and Jordi-Lluís Figueras

Transient chaotic rotating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol oscillators near a codimension-two bifurcation point
Yo Horikawa and Hiroyuki Kitajima

Fermi acceleration and adiabatic invariants for non-autonomous billiards
V. Gelfreich, V. Rom-Kedar, and D. Turaev

On the asymptotics of the Hopf characteristic function
Zachary Guralnik, Cengiz Pehlevan, and Gerald Guralnik

Isospectral compression and other useful isospectral transformations of dynamical networks
L. A. Bunimovich and B. Z. Webb

Forecasting the future: Is it possible for adiabatically time-varying nonlinear dynamical systems?
Rui Yang, Ying-Cheng Lai, and Celso Grebogi

Edge state and crisis in the Pierce diode
Pablo R. Muñoz, Joaquim J. Barroso, Abraham C.-L. Chian, and Erico L. Rempel

Attractors generated from switching unstable dissipative systems
Eric Campos-Cantón, Ricardo Femat, and Guanrong Chen

Time-dependent resilience assessment and improvement of urban infrastructure systems
Min Ouyang and Leonardo Dueñas-Osorio

Adaptive lag synchronization of chaotic Cohen-Grossberg neural networks with discrete delays
Qiming Liu and Shihua Zhang

Transition from order to chaos, and density limit, in magnetized plasmas
A. Carati, M. Zuin, A. Maiocchi, M. Marino, E. Martines, and L. Galgani

Multiple current reversals and diffusion enhancement in a symmetrical periodic potential
Chunhua Zeng, Hua Wang, and Linru Nie

Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map
Bhooshan Rajpathak, Harish K. Pillai, and Santanu Bandyopadhyay

The architecture of dynamic reservoir in the echo state network
Hongyan Cui, Xiang Liu, and Lixiang Li

Synchronization-based approach for detecting functional activation of brain
Lei Hong, Shi-Min Cai, Jie Zhang, Zhao Zhuo, Zhong-Qian Fu, and Pei-Ling Zhou

A network function-based definition of communities in complex networks
Sanjeev Chauhan, Michelle Girvan, and Edward Ott

Phase coherence and attractor geometry of chaotic electrochemical oscillators
Yong Zou, Reik V. Donner, Mahesh Wickramasinghe, István Z. Kiss, Michael Small, and Jürgen Kurths

Reverse engineering of complex dynamical networks in the presence of time-delayed interactions based on noisy time series
Wen-Xu Wang, Jie Ren, Ying-Cheng Lai, and Baowen Li

Pacemaker interactions induce reentrant wave dynamics in engineered cardiac culture
Bartłomiej Borek, T. K. Shajahan, James Gabriels, Alex Hodge, Leon Glass, and Alvin Shrier

Fully synchronous solutions and the synchronization phase transition for the finite-N Kuramoto model
Jared C. Bronski, Lee DeVille, and Moon Jip Park

Topological field theory of dynamical systems
Igor V. Ovchinnikov

Global stability analysis of discrete-time coupled systems on networks and its applications
Huan Su, Wenxue Li, and Ke Wang

Nonstationarity signatures in the dynamics of global nonlinear models
L. A. Aguirre and C. Letellier

Characterizing the dynamics of higher dimensional nonintegrable conservative systems
Cesar Manchein, Marcus W. Beims, and Jan M. Rost

Clocking convergence to a stable limit cycle of a periodically driven nonlinear pendulum
Mantas Landauskas and Minvydas Ragulskis

Complex network classification using partially self-avoiding deterministic walks
Wesley Nunes Gonçalves, Alexandre Souto Martinez, and Odemir Martinez Bruno

Chaotic dynamics in cardiac aggregates induced by potassium channel block
Thomas Quail, Nevin McVicar, Martin Aguilar, Min-Young Kim, Alex Hodge, Leon Glass, and Alvin Shrier

Delay induced bifurcation of dominant transition pathways
Huijun Jiang and Zhonghuai Hou

Secondary nontwist phenomena in area-preserving maps
C. Vieira Abud and I. L. Caldas

How synaptic weights determine stability of synchrony in networks of pulse-coupled excitatory and inhibitory oscillators
Birgit Kriener

Inhomogeneous stationary and oscillatory regimes in coupled chaotic oscillators
Weiqing Liu, Evgeny Volkov, Jinghua Xiao, Wei Zou, Meng Zhan, and Junzhong Yang

Symmetry breaking in linearly coupled Korteweg-de Vries systems
A. Espinosa-Cerón, B. A. Malomed, J. Fujioka, and R. F. Rodríguez

An analytic criterion for generalized synchronization in unidirectionally coupled systems based on the auxiliary system approach
W. K. Wong, Bin Zhen, Jian Xu, and Zhijie Wang

Cluster synchronization of spiking induced by noise and interaction delays in homogenous neuronal ensembles
Igor Franović, Kristina Todorović, Nebojša Vasović, and Nikola Burić

A pseudo-matched filter for chaos
Seth D. Cohen and Daniel J. Gauthier

Dynamical regimes due to technological change in a microeconomical model of production
K. Hamacher

Predicting the outcome of roulette
Michael Small and Chi Kong Tse

Adaptive node-to-node pinning synchronization control of complex networks
Luiz Felipe R. Turci and Elbert. E. N. Macau

On the formulation and solution of the isochronal synchronization stability problem in delay-coupled complex networks
J. M. V. Grzybowski, E. E. N. Macau, and T. Yoneyama

Introduction to the Focus Issue: Chemo-Hydrodynamic Patterns and Instabilities
A. De Wit, K. Eckert, and S. Kalliadasis

Stirring effects in models of oceanic plankton populations
Zoltan Neufeld

Barriers to front propagation in ordered and disordered vortex flows
Dylan Bargteil and Tom Solomon

Invariant manifolds and the geometry of front propagation in fluid flows
Kevin A. Mitchell and John R. Mahoney

Horizontally propagating three-dimensional chemo-hydrodynamic patterns in the chlorite-tetrathionate reaction
Éva Pópity-Tóth, Dezső Horváth, and Ágota Tóth

Marangoni-driven convection around exothermic autocatalytic chemical fronts in free-surface solution layers
L. Rongy, P. Assemat, and A. De Wit

Influence of temperature on linear stability in buoyancy-driven fingering of reaction-diffusion fronts
D. Levitán and A. D'Onofrio

CHEMO-hydrodynamic coupling between forced advection in porous media and self-sustained chemical waves
S. Atis, S. Saha, H. Auradou, J. Martin, N. Rakotomalala, L. Talon, and D. Salin

Segmented waves in a reaction-diffusion-convection system
Federico Rossi, Marcello A. Budroni, Nadia Marchettini, and Jorge Carballido-Landeira

The heads and tails of buoyant autocatalytic balls
Michael C. Rogers and Stephen W. Morris

Ion-selective Marangoni instability—Chemical sensing of specific cation for macroscopic movement
Tetsuya Miyaoka, Jun Nishimura, Youhei Iida, Syungo Maki, and Akihisa Shioi

Chemo-Marangoni convection driven by an interfacial reaction: Pattern formation and kinetics
K. Eckert, M. Acker, R. Tadmouri, and V. Pimienta

Convection and reaction in a diffusive boundary layer in a porous medium: Nonlinear dynamics
Jeanne Therese H. Andres and Silvana S. S. Cardoso

CO₂ sequestration in a radial Hele-Shaw cell via an interfacial chemical reaction
Andrew R. White and Thomas Ward

Comment on “Generalized projective synchronization in time-delayed systems: Nonlinear observer approach” [Chaos 19, 013102 (2009); 20, 029902 (2010)]
S. Jeeva Sathya Theesar, P. Balasubramaniam, and Santo Banerjee

Erratum: “Multiple current reversals and diffusion enhancement in a symmetrical periodic potential” [Chaos 22, 033125 (2012)]
Chunhua Zeng, Hua Wang, and Linru Nie

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