FDA Express Vol. 7, No. 2, Apr. 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_Vol7_No2_2013.pdf
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↑ 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
↑ 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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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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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
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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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
KALLONIATIS, ROBERT
S. STRICHARTZ
FRACTAL ANALYSIS OF PRIME INDIAN STOCK MARKET INDICES
SWETADRI SAMADDER, KOUSHIK
GHOSH, TAPASENDRA
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
CHEN, NANNAN LUO
MULTIFRACTAL DESCRIPTION OF SIMULATED FLOW VELOCITY IN IDEALISED POROUS MEDIA BY
USING THE SANDBOX METHOD
FRANCISCO J. JIMÉNEZ-HORNERO, ANA
B. ARIZA-VILLAVERDE, EDUARDO
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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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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