FDA Express (Vol.7, No.2, Apr.30, 2013)

FDA Express    Vol. 7, No. 2, Apr. 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_Vol7_No2_2013.pdf

  Conferences

The International Conference on Fractional Signals and Systems (FSS 2013)

↑  Books

The Fractal Analysis of Gas Transport in Polymers: The Theory and Practical Applications

↑  Journals

International Journal of Bifurcation and Chaos

Fractals

  Paper Highlight

Fractional diffusion equation for transport phenomena in random media

Stochastic solution of space-time fractional diffusion equations

  Websites of Interest

Fractional Calculus & Applied Analysis, Volume 16, No 1, 2013

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Conferences

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The International Conference on Fractional Signals and Systems (FSS 2013)

---- Ghent University, Belgium, during 24 - 26 October 2013.

Call for Papers

FSS 2013 will be held at the University Conference Centre "Het Pand", in Ghent, Belgium. We sincerely welcome our colleagues worldwide to join us for FSS 2013. The conference location, Het Pand, is a historical monument: this unique building is a former Dominican Monastery, situated beside the river Leie in the historic hearth of the city of Ghent.

The history of Ghent begins in the year 630, when St Amandus chose the site of the confluence (or 'Ganda') of the two rivers, the Lys and the Scheldt, to construct an abbey. Nearly 1400 years of history are still palpable in the city today: a medieval castle surrounded by a moat, an imposing cathedral, a belfry, three beguinages...

Topics
Signal analysis and filtering with fractional tools (restoration, reconstruction, analysis of fractal noises, etc.)
Fractional modeling of thermal systems, electrical systems (motors, transformers, skin effect, etc.), dielectric materials, electrochemical systems (batteries, ultracapacitors, fuel cells, etc.), mechanical systems (vibration insulation, viscoelastic materials, etc.), biological systems (muscles, lungs, etc.) etc.
Fractional system identification (linear, nonlinear, multivariable methods, etc.)
Implementation aspects (fractional controllers etc.)
Fractal structures, porous materials, etc.

Important deadlines
Submission opens: 15 April 2013
Initial submission: 1 June 2013
Author notification: 15 August 2013
Final submission: 30 September 2013
Conference dates: 24-26 October 2013

Selected papers from FSS'13 will be further invited for possible publication in journals.

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Books

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The Fractal Analysis of Gas Transport in Polymers: The Theory and Practical Applications

Georgii Vladimirovich Kozlov

Book Description
In the present monograph, theoretical structural analysis of the main processes of gas transport in polymeric materials (diffusion, solubility, permeability and selectivity) was offered. The mentioned analysis uses fractal (multifractal) analysis and cluster model of polymers amorphous state structure, based on the local order notions, as a tool for polymeric materials structure description. Besides, for the mentioned gas transport processes description, such modern physical treatments as a multifractal model of fluctuation free volume and the conception of anomalous (strange) diffusion were used. Such approach allows the quantitative description of gas transport processes and their prediction as a function of testing temperature, degree of crystallinity, cross-linking and grafting, and so on. Special attention is given to gas transport processes in multicomponent polymeric systems. A number of practical aspects of theoretical structural analysis application was considered in cases of thermal degradation, interfacial layers formation in polymer composites, stability to cracking in active environments and chemical reactions.

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Journals

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International Journal of Bifurcation and Chaos

Volume 23, Issue 03

Feature Articles

SOME COMMON EXPRESSIONS AND NEW BIFURCATION PHENOMENA FOR NONLINEAR WAVES IN A GENERALIZED mKdV EQUATION
RUI LIU, WEIFANG YAN

UNFOLDING NONSMOOTH BIFURCATION PATTERNS IN A 1-D PWL MAP AS A MODEL OF A SINGLE-INDUCTOR TWO-OUTPUT DC每DC SWITCHING CONVERTER
L. BENADERO, V. MORENO-FONT, A. EL AROUDI

SINGULARITY, SWITCHABILITY AND BIFURCATIONS IN A 2-DOF, PERIODICALLY FORCED, FRICTIONAL OSCILLATOR
ALBERT C. J. LUO, MOZHDEH S. FARAJI MOSADMAN

Papers

MODELING AND COMPLEXITY STUDY OF OUTPUT GAME AMONG MULTIPLE OLIGOPOLISTIC MANUFACTURERS IN THE SUPPLY CHAIN SYSTEM
GUANHUI WANG, JUNHAI MA

DYNAMIC PROPERTIES OF A SYMMETRICALLY CONSERVATIVE TWO-MASS SYSTEM
CHUNRUI ZHANG, BAODONG ZHENG

RANDOM ATTRACTORS OF STOCHASTIC LATTICE DYNAMICAL SYSTEMS DRIVEN BY FRACTIONAL BROWNIAN MOTIONS
NHUI GU

PULLBACK ATTRACTORS FOR A NONAUTONOMOUS INTEGRO-DIFFERENTIAL EQUATION WITH MEMORY IN SOME UNBOUNDED DOMAINS
MARÍA ANGUIANO, TOMÁS CARABALLO, JOSÉ REAL, JOSÉ VALERO

LIMIT CYCLE BIFURCATIONS FROM CENTERS OF SYMMETRIC HAMILTONIAN SYSTEMS PERTURBED BY CUBIC POLYNOMIALS
ZHAOPING HU, BIN GAO, VALERY G. ROMANOVSKI

HYPERCHAOTIC BEHAVIOR IN ARBITRARY-DIMENSIONAL FRACTIONAL-ORDER QUANTUM CELLULAR NEURAL NETWORK MODEL
LING LIU, CHONGXIN LIU, DELIANG LIANG

THE GENERALIZED TIME-DELAYED HÉNON MAP: BIFURCATIONS AND DYNAMICS
SHAKIR BILAL, RAMAKRISHNA RAMASWAMY

A RIGOROUS DETERMINATION OF THE OVERALL PERIOD IN THE STRUCTURE OF A CHAOTIC ATTRACTOR
ZERAOULIA ELHADJ, J. C. SPROTT

THE NUMBER OF ZEROS OF ABELIAN INTEGRALS FOR A PERTURBATION OF HYPERELLIPTIC HAMILTONIAN SYSTEM WITH DEGENERATED POLYCYCLE
JIHUA WANG, DONGMEI XIAO, MAOAN HAN

ON THE NUMBER OF LIMIT CYCLES FOR A GENERALIZATION OF LIÉNARD POLYNOMIAL DIFFERENTIAL SYSTEMS
JAUME LLIBRE, CLAUDIA VALLS

LOCAL BIFURCATION IN ONE-DIMENSIONAL NONAUTONOMOUS PERIODIC DIFFERENCE EQUATIONS
SABER ELAYDI, RAFAEL LUÍS, HENRIQUE OLIVEIRA

AN APPLICATION OF ADOMIAN DECOMPOSITION FOR ANALYSIS OF FRACTIONAL-ORDER CHAOTIC SYSTEMS
R. CAPONETTO, S. FAZZINO

TURING BIFURCATION IN A HUMAN MIGRATION MODEL OF SCHEURLE每SEYDEL TYPE
SHABAN ALY

MEMRISTOR MODELS IN A CHAOTIC NEURAL CIRCUIT
ALON ASCOLI, FERNANDO CORINTO

COMPLEX DYNAMICS AND CHAOS CONTROL IN NONLINEAR FOUR-OLIGOPOLIST GAME WITH DIFFERENT EXPECTATIONS
XIAOSONG PU, JUNHAI MA

BOUNDED TRAVELING WAVES OF THE GENERALIZED BURGERS每FISHER EQUATION
YUQIAN ZHOU, QIAN LIU, WEINIAN ZHANG

APPLICATION OF A TWO-DIMENSIONAL HINDMARSH每ROSE TYPE MODEL FOR BIFURCATION ANALYSIS
SHYAN-SHIOU CHEN, CHANG-YUAN CHENG, YI-RU LIN

USING CELLULAR AUTOMATA EXPERIMENTS TO MODEL PERIODONTITIS: A FIRST STEP TOWARDS UNDERSTANDING THE NONLINEAR DYNAMICS OF THE DISEASE
G. PAPANTONOPOULOS, K. TAKAHASHI, T. BOUNTIS, B. G. LOOS

BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS FOR A GENERALIZED CAMASSA每HOLM EQUATION
JIBIN LI, ZHIJUN QIAO

SHILNIKOV CHAOS IN LORENZ-LIKE SYSTEMS
G. A. LEONOV

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Fractals

Complex Geometry, Patterns, and Scaling in Nature and Society

Volume 21, Number 1

Articles

MULTIFRACTAL FLUCTUATIONS OF JIUZHAIGOU TOURISTS BEFORE AND AFTER WENCHUAN EARTHQUAKE
KAI SHI, WEN-YONG LI, CHUN-QIONG LIU, ZHENG-WEN HUANG

HARMONIC FUNCTIONS AND THE SPECTRUM OF THE LAPLACIAN ON THE SIERPINSKI CARPET
MATTHEW BEGUÉ
TRISTAN KALLONIATISROBERT S. STRICHARTZ

FRACTAL ANALYSIS OF PRIME INDIAN STOCK MARKET INDICES
SWETADRI SAMADDERKOUSHIK GHOSHTAPASENDRA BASU

RIEMANN-CHRISTOFFEL TENSOR IN DIFFERENTIAL GEOMETRY OF FRACTIONAL ORDER APPLICATION TO FRACTAL SPACE-TIME
GUY JUMARIE

CONSTRUCTION OF SPHERICAL PATTERNS FROM PLANAR DYNAMIC SYSTEMS
NING CHENNANNAN LUO

MULTIFRACTAL DESCRIPTION OF SIMULATED FLOW VELOCITY IN IDEALISED POROUS MEDIA BY USING THE SANDBOX METHOD
FRANCISCO J. JIMÉNEZ-HORNEROANA B. ARIZA-VILLAVERDEEDUARDO GUTIÉRREZ DE RAVÉ

FRACTAL ANALYSIS OF LIPASE每CATALYSED SYNTHESIS OF BUTYL BUTYRATE IN A MICROBIOREACTOR UNDER THE INFLUENCE OF NOISE
PRATAP R. PATNAIK

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Paper Highlight
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Fractional diffusion equation for transport phenomena in random media

Massimiliano Giona, H. Eduardo Roman

Publication information: Massimiliano Giona, H. Eduardo Roman, Fractional diffusion equation for transport phenomena in random media, Physica A, 185 (1-4), 1992, Pages 87-97.
http://www.sciencedirect.com/science/article/pii/037843719290441R

Abstract
A differential equation for diffusion in isotropic and homogeneous fractal structures is derived within the context of fractional calculus. It generalizes the fractional diffusion equation valid in Euclidean systems. The asymptotic behavior of the probability density function is obtained exactly and coincides with the accepted asymptotic form obtained using scaling argument and exact enumeration calculations on large percolation clusters at criticality. The asymptotic frequency dependence of the scattering function is derived exactly from the present approach, which can be studied by X-ray and neutron scattering experiments on fractals.

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Stochastic solution of space-time fractional diffusion equations

Mark M. Meerschaert, David A. Benson,Hans-Peter Scheffler, Boris Baeumer

Publication information: Mark M. Meerschaert, David A. Benson,Hans-Peter Scheffler, Boris Baeumer, Stochastic solution of space-time fractional diffusion equations. Phys. Rev. E 65, 041103 (2002) [4 pages].
http://pre.aps.org/abstract/PRE/v65/i4/e041103

Abstract
Classical and anomalous diffusion equations employ integer derivatives, fractional derivatives, and other pseudodifferential operators in space. In this paper we show that replacing the integer time derivative by a fractional derivative subordinates the original stochastic solution to an inverse stable subordinator process whose probability distributions are Mittag-Leffler type. This leads to explicit solutions for space-time fractional diffusion equations with multiscaling space-fractional derivatives, and additional insight into the meaning of these equations.

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