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
◆ 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
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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.
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
==========================================================================
------------------------------------------
Volume 45, Issue 8
M.R. Brown, D.J. Curtis, P. Rees, H.D. Summers, K. Hawkins, P.A. Evans, P.R. Williams
Yutian Zhang, Qi Luo
Jyh-Hao Lee, Oktay K. Pashaev
Yuting Ding, Weihua Jiang, Hongbin Wang
Ken Yamamoto, Yoshihiro Yamazaki
------------------------------------------
in Applied Sciences and EngineeringVolume: 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
------------------------------------------
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
------------------------------------------
An Interdisciplinary Journal of Discontinuity, Nonlinearity, and Complexity
Volume 1, Number 2
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
========================================================================
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.
-----------------------------------------
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.
========================================================================
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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The End of This Issue
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