FDA Express Vol. 2, No. 6, Mar. 30, 2012
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Editors:
W. Chen H.G. Sun
X.D. Zhang
S. Hu
Institute of Soft Matter Mechanics, Hohai University
For contribution:
fdaexpress@hhu.edu.cn
For subscription:
http://em.hhu.edu.cn/fda/subscription.htm
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↑ Conferences
↑ Books
Distributed-Order Dynamic Systems
SCALE RELATIVITY AND FRACTAL SPACE-TIME -
A New Approach to Unifying Relativity and Quantum Mechanics
↑ Journals
International Journal of Bifurcation and Chaos
↑ Classical Papers
A
Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
↑ Researchers & Groups
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Conferences
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By now, the Fifth IFAC symposium on Fractional Differentiation and its Application (FDA12) has received 321 abstracts and 235 full papers covering most research fields of fractional calculus. We expect a successful FDA12 ahead.
The award committee of the FDA12 is still soliciting the nomination and application of the awards, which recognize and reward excellence in the following four categories:
1. Mittag-Leffler Award: FDA Achievement Award
2. Riemann-Liouville Awards: Best FDA Papers (theory, application)
3. Gr邦nwald-Letnikov Awards: Best Student Papers (theory, application)
4. FDA Dissemination Award
All participants are welcome to nominate or apply these Awards, especially for the Best Student Papers Awards and Best FDA Papers Awards. We strongly encourage young and junior researchers to join the competition for the best student paper awards under the condition that the student has to be the major contributor and will participate in the FDA12 to present the paper. If you intend to nominate or apply an award, please email the name, paper number and paper title to us as soon as possible to fda12@hhu.edu.cn and sun.fda2012@gmail.com. More information about these Awards can refer to http://em.hhu.edu.cn/fda12/Awards.html.
The deadline for Award application is April 7, 2012.
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Books
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Zhuang Jiao, YangQuan Chen, Igor Podlubny
http://www.springer.com/engineering/control/book/978-1-4471-2851-9
Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass每spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.
Keywords: Distributed-order Control - Distributed-order Linear Time-invariant Systems - Distributed-order Modelling - Distributed-order Signal Processing - Fractional-order systems - Numerical Solution of Distributed-order Equations
Related subjects: Applications - Control Engineering - Energy - Signals & Communication
Table of contents
l Introduction
l Distributed-Order Linear Time-Invariant System (DOLTIS) and Its Stability Analysis
l Noncommensurate Constant Orders as Special Cases of DOLTIS.
l Distributed-Order Filtering and Distributed-Order Optimal Damping
l Numerical Solution of Differential Equations of Distributed Order
l Future Topics
l Appendix: MATLAB Codes
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http://www.worldscibooks.com/physics/p752.html
Laurent Nottale
This book provides a comprehensive survey of the development of the theory of scale relativity and fractal space-time. It suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling the basis of quantum mechanics on the principle of relativity, provided this principle is extended to scale transformations of the reference system. In the framework of such a newly generalized relativity theory (including position, orientation, motion and now scale transformations), the fundamental laws of physics may be given a general form that unifies and thus goes beyond the classical and quantum regimes taken separately. A related concern of this book is the geometry of space-time, which is described as being fractal and non differentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences.
Contents:
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Volume 45
, Issue 4 (2012)﹛
Coupled polariton solitons in semiconductor microcavities with a double-well potential
W.L. Zhang, Y.J. Rao
M-ary signal detection via a bistable system in the presence of L谷vy noise
Lingzao Zeng, Jianlong Li, Jiachun Shi
Effect of asynchronous updating on the stability of cellular automata
J.M. Baetens, P. Van der Weeën, B. De Baets
Strategy changing penalty promotes cooperation in spatial prisoner＊s dilemma game
Qing Jin, Zhen Wang, Zhen Wang, Yi-Ling Wang
Nonlinear quantum dynamics in diatomic molecules: Vibration, rotation and spin
Ciann-Dong Yang, Hung-Jen Weng
The stability of distributed neutral delay differential systems with Markovian switching
R. Ravi Kumar, Kil To Chong
Switching induced complex dynamics in an extended logistic map
Erik A. Levinsohn, Steve A. Mendoza, Enrique Peacock-L車pez
Luigi De Cesare, Mario Sportelli
Mixing properties of set-valued maps on hyperspaces via Furstenberg families
Heman Fu, Zhitao Xing
Xi-Xiang Xu
Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems
Feng Liang, Maoan Han
The discontinuous flat top tent map and the nested period incrementing bifurcation structure
Ben Futter, Viktor Avrutin, Michael Schanz
P. Balasubramaniam, S. Lakshmanan, A. Manivannan
Global exponential synchronization criterion for switched linear coupled dynamic networks
Zhi Li
Na Lv, Jian-Qin Mei, Hong-Qing Zhang
Akio Matsumoto, Ferenc Szidarovszky
Some fixed point results for a generalized 肉-weak contraction mappings in orbitally metric spaces
Wasfi Shatanawi
Igor Franović, Vladimir Miljković
Parameters identification of chaotic system by chaotic gravitational search algorithm
Chaoshun Li, Jianzhong Zhou, Jian Xiao, Han Xiao
Delay-induced diversity of firing behavior and ordered chaotic firing in adaptive neuronal networks
Yubing Gong, Li Wang, Bo Xu
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International Journal of Bifurcation and Chaos
Volume 22
, Issue 2 (February 2012)﹛
THEME SECTION: Complex Systems and Applications
M. A. Aziz-Alaoui, Cyrille Bertelle and Xinzhi Liu
THEME SECTION: Complex Systems and Applications 〞 Tutorials and Reviews
HUN TUN VERSUS BIG BANG: HOW CLASSICAL CHAOS IMPLIES BOTH "THERMODYNAMICS" AND "CRYODYNAMICS"
Otto E. Rössler
ACTIVE NETWORKS THAT MAXIMIZE THE AMOUNT OF INFORMATION TRANSMISSION
M. S. Baptista, J. X. De Carvalho, M. S. Hussein and C. Grebogi
THEME SECTION: Complex Systems and Applications 〞 Papers
R. Lozi
Evelyn Sander and James A. Yorke
COMPLEX DYNAMICS OF ELEMENTARY CELLULAR AUTOMATA EMERGING FROM CHAOTIC RULES
Genaro J. Mart赤nez, Andrew Adamatzky and Ramon Alonso-Sanz
ON SOME RECENT ADVANCES IN COMPLEX SOFTWARE NETWORKS: MODELING, ANALYSIS, EVOLUTION AND APPLICATIONS
Hongchun Wang, Keqing He, Bing Li and Jinhu L邦
MODELING THE DYNAMICS OF COMPLEX INTERACTION SYSTEMS: FROM MORPHOGENESIS TO CONTROL
N. Corson, M. A. Aziz-Alaoui, R. Ghnemat, S. Balev and C. Bertelle
Alexandre Vidal and Jean-Pierre Françoise
QUANTIFYING CHANGES IN THE SPATIAL STRUCTURE OF TRABECULAR BONE
Norbert Marwan, Gise Beller, Dieter Felsenberg, Peter Saparin and J邦rgen Kurths
ZERO-DIFFUSION DOMAINS IN REACTION每DIFFUSION MORPHOGENETIC AND EPIDEMIOLOGIC PROCESSES
Jacques Demongeot, Jean Gaudart, Athanasios Lontos, Julie Mintsa, Emmanuel Promayon and Mustapha Rachdi
EFFECTS OF REFUGES AND DENSITY DEPENDENT DISPERSAL ON INTERSPECIFIC COMPETITION DYNAMICS
Nguyen-Ngoc Doanh, Nguyen-Huu Tri and Auger Pierre
DYNAMICS UNDERLYING PATIENT-VENTILATOR INTERACTIONS DURING NOCTURNAL NONINVASIVE VENTILATION
R. Naeck, D. Bounoiare, U. S. Freitas, H. Rabarimanantsoa, A. Portmann, F. Portier, A. Cuvelier, J.-F. Muir and C. Letellier
ROBUST SENSOR FAULT RECONSTRUCTION FOR NONLINEAR SYSTEMS USING OBSERVERS
Changfan Zhang, Xinzhi Liu and Jing He
Alexandre Wagemakers, Samuel Zambrano and Miguel A. F. Sanju芍n
MULTI-SCROLL CHAOTIC AND HYPERCHAOTIC ATTRACTORS GENERATED FROM CHEN SYSTEM
Xinzhi Liu, Xuemin (Sherman) Shen and Hongtao Zhang
Tutorials and Reviews
CHARACTERIZING NONLINEAR SPATIO-TEMPORAL SYSTEMS IN THE FREQUENCY DOMAIN
Yuzhu Guo, L. Z. Guo, S. A. Billings, Daniel Coca and Z. Q. Lang
Papers
BIFURCATION IN A PIECEWISE LINEAR CIRCUIT WITH SWITCHING BOUNDARIES
Zhengdi Zhang and Qinsheng Bi
Mireia Vinyoles-Serra and Xavier Vilas赤s-Cardona
BIFURCATION AND CONTROL IN AN INERTIAL TWO-NEURON SYSTEM WITH TIME DELAYS
Hong Yong Zhao, Xiao Hong Yu and Ling Wang
STABILITY AND BIFURCATION ANALYSIS IN A DIFFUSIVE BRUSSELATOR SYSTEM WITH DELAYED FEEDBACK CONTROL
Wenjie Zuo and Junjie Wei
RESEARCH ON THE GALLOPING AND ANTI-GALLOPING OF THE TRANSMISSION LINE
Zhaohong Qin, Yushu Chen, Xueping Zhan, Bin Liu And Kuanjun Zhu
EXAMPLES OF THE EFFECT OF GROWTH AND STRAIN ON TURING PATTERN FORMATION DYNAMICS
Diego Alexander Garz車n-Alvarado
DYNAMICS AND BIFURCATIONS OF A NONHOLONOMIC HEISENBERG SYSTEM
M車nica Molina-Becerra, Jorge Gal芍n-Vioque and Emilio Freire
A NOVEL RESULT IN THE FIELD OF NONLINEAR STABILITY ANALYSIS OF BOILING WATER REACTORS
Carsten Lange, Dieter Hennig and Antonio Hurtado
ANALYSIS OF NEW FOUR-DIMENSIONAL CHAOTIC CIRCUITS WITH EXPERIMENTAL AND NUMERICAL METHODS
Guo-Qing Huang and Xin Wu
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R. L. Bagley and P. J. Torvik
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Prof. Fawang Liu
Queensland University of Technology, Australia
Professor Fawang Liu received his MSc from Fuzhou University in 1982 and PhD from Trinity College, Dublin, Ireland in 1991, respectively. Since graduation, he has been working in computational and applied mathematics at Fuzhou University, Xiamen University, Trinity College Dublin (Ireland), University College Dublin (Ireland), University of Queensland (Australia) and Queensland University of Technology (Australia ) for over thirty years. Now he is working at Queensland University of Technology, Australia (since 1991). Professor Liu has made important contributions to the field including fractional differential equations, anomalous diffusion, parameter estimation for fractional dynamical models arising from biological systems, semiconductor device equations, microwave heating problems, gas-solid reactions, singular perturbation problem and saltwater intrusion into aquifer systems, particularly in numerical methods and theoretical analysis. He has supervised over thirteen PhD students and eleven MSc students on these fields. Professor Liu is a leading researcher in the numerical methods and numerical analysis of fractional differential equations. Professor Liu has received various awards of his contributions in the field of fractional calculus and singular perturbation problem. Professor Liu is a member of the editorial board of some international journals and is a Lead Guest Editor of the special issue on fractional differential equations (I) in 2010 and (II) in 2011 of the International Journal of Differential Equations. He has published over 170 papers in these fields.
Selected Papers
Liu F., Burrage K., Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol. 62, No. 3, Special issue: SI, pp. 822-833 DOI: 10.1016/j.camwa.2011.03.002, 2011.
Liu Fawang, Yang Qianqian, Turner Ian, Two New Implicit Numerical Methods for the Fractional Cable Equation. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, Vol. 6, No. 1, DOI: 10.1115/1.4002269, 2011.
Yang Q., Liu F., Turner I., Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. APPLIED MATHEMATICAL MODELLING, Vol. 34, No. 1, pp. 200-218 DOI: 10.1016/j.apm.2009.04.006, 2010.
Chen Chang-Ming, Liu F., Anh V., A Fourier method and an extrapolation technique for Stokes' first problem for a heated generalized second grade fluid with fractional derivative. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. 223, No. 2, pp. 777-789 DOI: 10.1016/j.cam.2008.03.001, 2009.
Zhuang P., Liu F., Anh V., et al., NUMERICAL METHODS FOR THE VARIABLE-ORDER FRACTIONAL ADVECTION-DIFFUSION EQUATION WITH A NONLINEAR SOURCE TERM. SIAM JOURNAL ON NUMERICAL ANALYSIS, Vol. 47, No. 3, pp. 1760-1781 DOI: 10.1137/080730597, 2009.
Chen S., Liu F., Zhuang P., et al., Finite difference approximations for the fractional Fokker-Planck equation. APPLIED MATHEMATICAL MODELLING, Vol. 33, No. 1, pp. 256-273, DOI: 10.1016/j.apm.2007.11.005, 2009.
Chen Chang-ming, Liu F., Burrage K., Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation. APPLIED MATHEMATICS AND COMPUTATION, Vol. 198, No. 2, pp. 754-769. DOI: 10.1016/j.amc.2007.09.020, 2008.
Yu Q., Liu F., Anh V., et al., Solving linear and non-linear space-time fractional reaction-diffusion equations by the Adomian decomposition method. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Vol. 74, No. 1, pp. 138-158 DOI: 10.1002/nme.2165, 2008.
Chen J., Liu F., Anh V., Analytical solution for the time-fractional telegraph equation by the method of separating variables. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol. 338, No. 2, pp. 1364-1377, DOI: 10.1016/j.jmaa.2007.06.023, 2008.
Chen Chang-Ming, Liu F., Turner I., A Fourier method for the fractional diffusion equation describing sub-diffusion. JOURNAL OF COMPUTATIONAL PHYSICS, Vol. 227, No. 2, pp. 886-897 DOI: 10.1016/j.jcp.2007.05.012, 2007.
Liu F., Zhuang P., Anh V., et al., Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. APPLIED MATHEMATICS AND COMPUTATION, Vol. 191, No. 1, pp. 12-20, DOI: 10.1016/j.amc.2006.08.162, 2007.
Lin R., Liu F. Fractional high order methods for the nonlinear fractional ordinary differential equation. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. Vol. 66, No. 4, pp. 856-869, DOI: 10.1016/j.na.2005.12.027, 2007.
Huang F, Liu F. The time fractional diffusion equation and the advection-dispersion equation. ANZIAM JOURNAL, Vol. 46, Part 3, pp. 317-330, 2005.
Liu F, Anh V, Turner I. Numerical solution of the space fractional Fokker-Planck equation. Conference: International Conference on Boundary and Interior Layers (BAIL 2002), Univ Western Australia, Perth, AUSTRALIA, JUL 08-12, 2002. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. 166, No. 1, pp. 209-219 DOI: 10.1016/j.cam.2003.09.028, 2004.
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