FDA Express (Vol.4, No.1, Jul 15, 2012)

FDA Express    Vol. 4, No. 1, Jul. 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 Mathematical Modeling in Physical Sciences, IC-MSQUARE 2012

International Congress in Honour of Professor Hari M. Srivastava

Session 65 "Applied Studies of Fractional Differential Equations" & Session 90 "Fractional Calculus and Applications" in ICNAAM 2012

  Books

First Steps in Random Walks: From Tools to Applications

◆  Journals

Chaos, Solitons & Fractals
International Journal of Bifurcation and Chaos (IJBC)
Journal of Applied Nonlinear Dynamics

An Interdisciplinary Journal of Discontinuity, Nonlinearity, and Complexity

  Classical Papers
Fractional model equation for anomalous diffusion
Theoretical analysis of the velocity field, stress field and vortex sheet of generalized second order fluid with fractional anomalous diffusion

 Researchers & Groups

Prof. Raoul R. Nigmatullin
 

 

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 Conferences
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International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2012

Budapest, Hungary during September 3-7, 2012


Conference summary:
- Keynote speaker: Prof Constantino Tsallis
- Special Invited Speakers: Prof Orfeu Bertolami and Dr Lazaros Gallos
- Proceedings Publications: IOP Journal of Physics: Conference Series (JPCS)
- Full papers: Special issues in several journals
Special Sessions:
- Gravity, Quantum, and Black Holes
  Organized by: Prof Orfeu Bertolami
  Co-organizers: Saurya Das and Elias C. Vagenas
- Hydrodynamic simulations of selfgravitating accretion systems
  Organized by: Prof Edward J. Malec
- Computational nanoscience
  Organized by: Prof Kalman Varga
- Constitutive Modeling of Biological Tissues and Computational Biomechanics
  Organized by: Prof LePing Li
- The Discrete-Time Quantum Walk: Mathematical Modeling and Applications
  Organized by: Dr Clement Ampadu
- Complex networks
  Organized by: Dr Lazaros Gallos
- Stochastic Modeling
  Organized by: Dr Fu-Min Chang
- Generalized Gaussian convolutions/deconvolutions and their applications in physics
  Organized by: Dr Waldemar H. Ulmer
- Discrete Lagrangian Integrators
  Organized by: Dr Odysseas T. Kosmas
- Fractional exclusion statistics
  Organized by: Dr Dragos-Victor Anghel
At the request of a large number of authors, the deadlines have been extended.

The new important dates are:
- July 20, Abstract submission deadline
- July 23, Acceptance notification
- July 27, Early registration and accommodation deadline
- September 3, Conference paper submission deadline

All Conference related actions (submission, registration etc) are performed online after
creating a personal account at the Conference website ( http://www.icmsquare.net ).
This letter and the Conference website at http://www.icmsquare.net is given to you as a reference for the aims and scopes of the IC-MSQUARE 2012.
Looking forward to see you in Budapest!
On behalf of the organizing committee,
Prof T. Kosmas(1), Dr E Vagenas(2) and Prof D. Vlachos(3)
Chairmen of IC-MSQUARE 2012        

 

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International Congress in Honour of Professor Hari M. Srivastava

 

The Auditorium at the Campus of Uludag University, Bursa-TURKEY
August 23-26, 2012
http://srivastava2012.uludag.edu.tr/

The forthcoming International Congress in Honour of Professor H. M. Srivastava is motivated essentially by the remarkable popularity and success of the well-attended four-day International Congress Dedicated to Professor Srivastava on the Occasion of his 70th Birth Anniversary, which was held in August 2010 at Hotel Karinna in Mount Uludag (Bursa) under the auspices of Uludag University.

This congress will be organized at the Gorukle Campus of Uludag University in the fourth largest city, Bursa in Turkey in honour of Professor Dr. Hari Mohan Srivastava. It will cover a wide range of topics of Mathematics, Statistics and related sciences.

   Theoretical and Applied Complex Analysis

   Clifford Analysis

   Complex Function Spaces and Operator Theory

   Complex Numerical Analysis

   q-Analysis

   p-adic Analysis

   Functional Analysis Methods in Complex Analysis and Applications to Partial Differential Equations

   Quasiconformal Mappings, Riemann Surfaces, Teichmuller Theory and Kleinian Groups

   Special Functions

   Classical Number Theory

   Analytic and Geometric Number Theory

   Classical and Applied Algebra

   Differential Geometry and its Applications

   Differential Equations and their Applications

   Control Theory

   Complex Dynamical Systems

   Mathematical Physics

   Statistics

   Applied Mathematics

Deadline for registration : None

Deadline(s) for hotel reservation : None

Deadline for support (For only Turkish participants under 35) : 10th June, 2012

Deadline for submission of Abstracts : 20th July, 2012

Deadline for submission of Full Texts : 30th November, 2012

 

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ICNAAM 2012, The 10th International Conference of Numerical Analysis and Applied Mathematics


Kos, Greece, September 19-25, 2012

(From FCAA RELATED MEETINGS, BOOKS, IN MEMORIAM)

 

Website: http://www.icnaam.org/

The topics to be covered include all the research areas of Numerical Analysis and Computational Mathematics and of Applied and Industrial Mathematics. More than 188 Sessions (Minisymposia) have been already
approved in the program, see the list at

http://www.icnaam.org/Sessions_Minisymposia.htm

Among them, they might be of closer interest for this audience the sessions:
– Session 65): “Applied Studies of Fractional Differential Equations”(Org. by M. Kurulay, Turkey);
– Session 90): “Fractional Calculus and Applications” (Org. by M. Duarte Ortigueira, Portugal);
– Sessions 3), 4), 53) (with respect to Special Functions);
– Several sessions dedicated to Differential Equations and Numerical Methods, etc.
The Proceedings of ICNAAM 2012 will be published in the well known AIP (American Institute of Physics) Conference Proceedings. More information can be found at

http://www.icnaam.org/proceeding.htm

For the requirements on the papers to be submitted to the AIP Conference Proceedings of ICNAAM 2012, see at conference website. It is a policy of ICNAAM not to publish papers in the Proceedings without payment of the fees.
Reported by M. Duarte Ortigueira, contacts by e-mail: mdo@fct.unl.pt

 

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Books

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First Steps in Random Walks: From Tools to Applications

 

Joseph Klafter and I. M. Sokolov

 

Main description

The name "random walk" for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson in 1905 in a question posed to readers of "Nature". The same year, a similar problem was formulated by Albert Einstein in one of his Annus Mirabilis works. Even earlier such a problem was posed by Louis Bachelier in his thesis devoted to the theory of financial speculations in 1900. Nowadays the theory of random walks has proved useful in physics and chemistry (diffusion, reactions, mixing in flows), economics, biology (from animal spread to motion of subcellular structures) and in many other disciplines. The random walk approach serves not only as a model of simple diffusion but of many complex sub- and super-diffusive transport processes as well. This book discusses the main variants of random walks and gives the most important mathematical tools for their theoretical description.

 

Table of Contents

1. Characteristic Functions
2. Generating Functions and Applications
3. Continuous Time Random Walks
4. CTRW and Aging Phenomena
5. Master Equations
6. Fractional Diffusion and Fokker-Planck Equations for Subdiffusion
 

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Journals

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Chaos, Solitons & Fractals

Volume 45, Issue 8

Fractal discrimination of random fractal aggregates and its application in biomarker analysis for blood coagulation

M.R. Brown, D.J. Curtis, P. Rees, H.D. Summers, K. Hawkins, P.A. Evans, P.R. Williams

 

Novel stability criteria for impulsive delayed reaction–diffusion Cohen–Grossberg neural networks via Hardy–Poincarè inequality

Yutian Zhang, Qi Luo

 

Chiral resonant solitons in Chern–Simons theory and Broer–Kaup type new hydrodynamic systems

Jyh-Hao Lee, Oktay K. Pashaev

 

Hopf-pitchfork bifurcation and periodic phenomena in nonlinear financial system with delay

Yuting Ding, Weihua Jiang, Hongbin Wang

 

Fractal behind coin-reducing payment

Ken Yamamoto, Yoshihiro Yamazaki

 

Using impulses to control the convergence toward invariant surfaces of continuous dynamical systems

José Marão, Xinzhi Liu, Annibal Figueiredo

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International Journal of Bifurcation and Chaos (IJBC)
 in Applied Sciences and Engineering

Volume: 22, Number: 5
http://www.worldscientific.com/worldscinet/ijbc

 

THEME SECTION: Nonlinear Dynamics, Vibration and Control
Editorial
Qishao Lu, Liqun Chen, Marian Wiercigroch

THEME SECTION: Nonlinear Dynamics, Vibration and Control — Tutorials and Reviews

Experimental Bifurcations Of An Impact Oscillator With Sma Constraint
Elena Sitnikova, Ekaterina Pavlovskaia, James Ing, Marian Wiercigroch

Bifurcation Analysis Of The Flow Patterns In Two-Dimensional Rayleigh–BÉNard Convection
Supriyo Paul, Mahendra K. Verma, Pankaj Wahi, Sandeep K. Reddy, Krishna Kumar

THEME SECTION: Nonlinear Dynamics, Vibration and Control — Papers

Nonlinear Aeroelastic Analysis Of A Morphing Flap
Daochun Li, Shijun Guo, Yuanyuan He, Jinwu Xiang

Approximate Rotational Solutions Of Pendulum Under Combined Vertical And Horizontal Excitation
Ekaterina Pavlovskaia, Bryan Horton, Marian Wiercigroch, Stefano Lenci, Giuseppe Rega

In-Phase Burst Synchronization And Rhythm Dynamics Of Complex Neuronal Networks
Xia Shi, Qishao Lu, Haixia Wang

From Complete To Incomplete Chattering: A Novel Route To Chaos In Impacting Cam-Follower Systems
R. Alzate, P. T. Piiroinen, M. Di Bernardo

Periodic And Chaotic Oscillations Of A Composite Laminated Plate Using The Third-Order Shear Deformation Plate Theory
W. Zhang, X. Y. Guo

On The Fractional Mean-Value Theorem
Peng Guo, Changpin Li, Guanrong Chen

Bifurcation And Chaos Analysis For A Delayed Two-Neural Network With A Variation Slope Ratio In The Activation Function
Zigen Song, Jian Xu

Robust Control Of Chaotic Vibration Of Composite Plate In The Presence Of Noise Using Sliding Mode Method
Shamrao, S. Narayanan

Estimating Probability Density Functions And Entropies Of Chua's Circuit Using B-Spline Functions
F. A. Savaci, M. GÜNgör

The Study On The Midspan Deflection Of A Beam Bridge Under Moving Loads Based On Sd Oscillator
R. L. Tian, X. W. Yang, Q. J. Cao, Y. W. Han

Capturing The Symmetry Of Attractors And The Transition To Symmetric Chaos In A Vibro-Impact System
Y. Yue, J. H. Xie, X. J. Gao

Experimental Investigation Of A Two-Degree-Of-Freedom Vibro-Impact System
Guilin Wen, Huidong Xu, Lu Xiao, Xiaoping Xie, Zhong Chen, Xin Wu

Bifurcation Control Of A Parametric Pendulum
Aline S. De Paula, Marcelo A. Savi, Marian Wiercigroch, Ekaterina Pavlovskaia

Nonsmooth And Smooth Bifurcations In A Discontinuous Piecewise Map
Zhiying Qin, Yuejing Zhao, Jichen Yang

The Local Stochastic Stability For Complex Networks Under Pinning Control
Zhou Yan, Xiao-Ling Jin, Zhi-Long Huang

Bursting Induced By Excitatory Synaptic Coupling In The Pre-Bötzinger Complex
Lixia Duan, Dehong Zhai, Xuhui Tang

Noise-Induced Pattern Formation And Synchronization In A Square-Lattice Neuronal Network
Yanhong Zheng, Qingyun Wang, Chunbiao Gan

A Simple Yet Complex One-Parameter Family Of Generalized Lorenz-Like Systems
Xiong Wang, Juan Chen, Jun-An Lu, Guanrong Chen

Noisy Chaos In A Quasi-Integrable Hamiltonian System With Two Dof Under Harmonic And Bounded Noise Excitations
C. B. Gan, Y. H. Wang, S. X. Yang, H. Lei

Exact Traveling Wave Solutions And Their Bifurcations For The Kudryashov–Sinelshchikov Equation
Jibin Li, Guanrong Chen

THEME SECTION: Chaos and Fractals — Theory and Applications
Editorial
Cuncai Hua

THEME SECTION: Chaos and Fractals — Theory and Applications — Papers
Generation And Implementation Of Hyperchaotic Chua System Via State Feedback Control
Huiling Xi, Simin Yu, Chaoxia Zhang, Youlin Sun

Design And Implementation Of Compound Chaotic Attractors
Chaoxia Zhang, Simin Yu, Guanrong Chen

Bifurcation Of Phase And Exact Traveling Wave Solutions Of A Higher-Order Nonlinear Schrödinger Equation
Fang Yan, Haihong Liu

Hopf Bifurcation And Chaos Of A Hybrid Three-Species Food Chain With Time Delayed Intervention
Yunxian Dai, Yiping Lin

Bifurcation Analysis Of The Propagating Wave And The Switching Solutions In A Ring Of Six-Coupled Bistable Oscillators — Bifurcation Starting From Type 2 Standing Wave Solution
Kyohei Kamiyama, Motomasa Komuro, Tetsuro Endo

Dynamical Behaviors And Numerical Simulation Of A Lorenz-Type System For The Incompressible Flow Between Two Concentric Rotating Cylinders
Heyuan Wang

A New Improved Scheme Of Chaotic Masking Secure Communication Based On Lorenz System
Jing Pan, Qun Ding, Baoxiang Du

The Exact Traveling Wave Solutions And Their Bifurcations In The Gardner And Gardner–Kp Equations
Fang Yan, Cuncai Hua, Haihong Liu, Zengrong Liu

Mehrab Maps: One-Dimensional Piecewise Nonlinear Chaotic Maps
Shahram Etemadi Borujeni, Mohammad Eshghi, Mahdi Safarnejad Boroujeni

Synchronization Of Slowly Rotating Pendulums
K. Czolczynski, P. Perlikowski, A. Stefanski, T. Kapitaniak

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Journal of Applied Nonlinear Dynamics

Volume 1, Issue 2
https://lhscientificpublishing.com/Journals/JAND-Download.aspx

 

On the Usefulness of Riemann-Liouville and Caputo Derivatives in Describing Fractional Shift-invariant Linear Systems

Manuel D. Ortigueira and Fernando J. Coito

 

Soliton Solutions of the Long-short Wave Equation with Power Law Nonlinearity

Manel Labidi, Houria Triki, E. V. Krishnan and Anjan Biswas

 

Numeric-Analytic Solutions of Dynamical Systems Using a New Iterative Method

Sachin Bhalekar and Varsha Daftardar-Gejji

 

Asymptotic Analysis of the Hopf-Hopf Bifurcation in a Time-delay System

Christoffer R. Heckman1 and Richard H. Rand

 

Is it Possible to Replace the Probability Distribution Function Describing a Random Process by the Prony's Spectrum? (I)

Raoul R. Nigmatullin

 

Controllability, Observability, Duality for Fractional Differential-Algebraic Systems with Delay

Zbigniew Zaczkiewicz

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An Interdisciplinary Journal of Discontinuity, Nonlinearity, and Complexity

Volume 1, Number 2
https://lhscientificpublishing.com/Journals/DNC-Download.aspx

 

Unstable and Stable Period-m Motions in a Twin-well Potential Duffing Oscillator
Albert C. J. Luo and Jianzhe Huang

Modelling of Synaptic STDP and Analysis in a Two-Neuron Model
V. K. Menz, S. Popovych, T. Küpper

One Kink Solution for a Variety of Nonlinear Fifth-order Equations
Abdul-Majid Wazwaz

Statistical Mechanics of Fragmentation-advection Processes and Nonlinear Measurements Problem. II.
Vladimir V. Uchaikin

On the Existence of Stationary Solutions for Some Systems of Non-Fredholm Integro-Differential Equations.
Vitaly Volpert and Vitali Vougalter

 

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Classical Papers
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Fractional model equation for anomalous diffusion

Ralf Metzler, Walter G. Glöckle, Theo F. Nonnenmacher

Publication information: Ralf Metzler, Walter G. Glöckle, Theo F. Nonnenmacher, Fractional model equation for anomalous diffusion, Physica A: Statistical Mechanics and its Applications, 211(1), 1994, Pages 13-24. http://www.sciencedirect.com/science/article/pii/0378437194900647

Abstract: In recent years the phenomenon of anomalous diffusion has attracted more and more attention. One of the main impulses was initiated by de Gennes' idea of the ant in the labyrinth. Several authors presented asymptotic probability density functions for the location of a random walker on a fractal object. As this density function and the time dependence of its second moment are now well established, a modified diffusion equation providing the correct result is formulated. The parameters of this fractional partial differential equation are uniquely determined by the fractal Hausdorff dimension of the underlying object and the anomalous diffusion exponent. The presented equation reduces exactly to the ordinary isotropic diffusion equation by appropriate choice of the parameters. A closed form solution is given in terms of Fox's H-function. In the asymptotic case a halved diffusion equation can be established. Furthermore, the differences to equations considered previously are discussed.

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Theoretical analysis of the velocity field, stress field and vortex sheet of generalized second order fluid with fractional anomalous diffusion

Mingyu Xu and Wenchang Tan

Publication information: Mingyu Xu and Wenchang Tan, Theoretical analysis of the velocity field, stress field and vortex sheet of generalized second order fluid with fractional anomalous diffusion, SCIENCE IN CHINA SERIES A: MATHEMATICS, 44(11), 2001, 1387-1399, DOI: 10.1007/BF02877067. http://www.springerlink.com/content/48112r3w90527k82/

Abstract: The velocity field of generalized second order fluid with fractional anomalous diffusion caused by a plate moving impulsively in its own plane is investigated and the anomalous diffusion problems of the stress field and vortex sheet caused by this process are studied. Many previous and classical results can be considered as particular cases of this paper, such as the solutions of the fractional diffusion equations obtained by Wyss; the classical Rayleigh's time-space similarity solution; the relationship between stress field and velocity field obtained by Bagley and co-worker and Podlubny's results on the fractional motion equation of a plate. In addition, a lot of significant results also are obtained. For example, the necessary condition for causing the vortex sheet is that the time fractional diffusion index β must be greater than that of generalized second order fluid α; the establishment of the velocity distribution function depends on the time history of the velocity profile at a given point, and the time history can be described by the fractional calculus.

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Researchers & Groups
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Prof. Raoul R. Nigmatullin

Department of Theoretical Physics, Kremlevskaiya str.18, Kazan State University, 420008, KAZAN, Tatarstan, Russia
E-mail: nigmat@knet.ru
(Part of information comes from http://em.hhu.edu.cn/fda12/Nigmatullin.html)


A Short Outline of His Life

Raoul R. Nigmatullin was born in Kazan in 1947. He received his PhD in Kazan State university in 1973 year, then his Doctorate degree on Physics and Mathematics in 1993 year in the same university. Now he is full professor of physics and mathematics of Kazan (Volga region) Federal university. During the period 1982-1983 years he worked in the Prof. A. Jonscher's laboratory in physics of dielecterics in the UK. He is a member of International Dielectric Society since 1990 year. In 1998 year together with his French collegues Dr. A. Le Mehaute and Dr. L. Nivanen he published a book related to fractal geometry and fractional calculus. He is well cited scientist among other leading Russian scientists actively working in the modern science. In 2004 year he was awarded for his report in the International Conference in Bordeaux clarifying the physical meaning of the fractional operation integration with complex power law exponent. In 2005 year he won the Turkish National Grant "TUBITAG" in order to participate in dielectric measurements related to recognition of the fractional kinetics. During 2006-2008 years he won Russian National Grant related to the development of fractional kinetics and dielectric relaxation in disordered media. He received some awards for his contribution in the development of new methods in signal/noise analysis and fractional calculus in the conferences "New Trends in Science and Technology" and "Fractional Derivatives and their Applications" (November 2008, Ankara, Turkey). At present time his current interest is physics of dielectrics, development of new methods of S/N treatment analysis and application of the fractional calculus and fractal geometry in different branches of physics. He has published more that 180 papers. He has received more than 1200 citations covered by SCI and his Hirsch index is 17.

Selected Papers

1. Evidences of the fractional kinetics in temperature region: Evolution of extreme points in ibuprofen
Nigmatullin Raoul R.; Bras Ana R.; Correia Natalia T.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 15 (10), 2010: 2942-2966

2. Application of new treatment methods for "reading" of the complex capacitance: A quantitative description of the aging phenomenon in polymer glasses
Nigmatullin Raoul R.; Nakanishi Hideyuki; Tran-Cong-Miyata Qui; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 15 (5), 2010: 1286-1307

3. On fractional filtering versus conventional filtering in economics
Nigmatullin Raoul R.; Omay Tolga; Baleanu Dumitru
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 15 (4), 2010: 979-986

4. Is It Possible to Derive Newtonian Equations of Motion with Memory?
Nigmatullin R. R.; Baleanu D.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 49 (4), 2010: 701-708

5. Fractional Newtonian mechanics
Baleanu Dumitru; Golmankhaneh Alireza K.; Nigmatullin Raoul; et al.
CENTRAL EUROPEAN JOURNAL OF PHYSICS, 8 (1), 2010: 120-125

6. Dielectric relaxation phenomenon based on the fractional kinetics: theory and its experimental confirmation
Nigmatullin R. R.
PHYSICA SCRIPTA, T136, 2009

7. Experimental confirmation of oscillating properties of the complex conductivity: Dielectric study of polymerization/vitrification reaction
Nigmatullin R. R.; Arbuzov A. A.; Salehli F.; et al.
JOURNAL OF NON-CRYSTALLINE SOLIDS, 353 (44-46), 2007: 4143-4156

8. The first experimental confirmation of the fractional kinetics containing the complex-power-law exponents: Dielectric measurements of polymerization reactions
Nigmatullin R. R.; Arbuzov A. A.; Salehli F.; et al.
PHYSICA B-CONDENSED MATTER, 388 (1-2), 2007: 418-434

9. Mesoscopic fractional kinetic equations versus a Riemann-Liouville integral type
Nigmatullin Raoul R.; Trujillo Juan J.
Advances in Fractional Calculus: THEORETICAL DEVELOPMENTS AND APPLICATIONS IN PHYSICS AND ENGINEERING, 2007: 155-167

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