FDA Express Vol. 4, No. 2, Jul. 30, 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
Fractional Dynamical Systems and Signals
◆ Books
Fractional Dynamics: Recent Advances
◆ Journals
Chaos,
Solitons & Fractals
International
Journal of Bifurcation and Chaos (IJBC)
◆ Classical Papers
Formulation of Euler–Lagrange equations for fractional variational problems
Lagrangian Formulation of Classical Fields within
Riemann-Liouville Fractional Derivatives
◆ Researchers & Groups
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Conferences
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European Control Conference 2013, July 17-19 2013 in Zurich, Switzerland: Special session invitation
Fractional Dynamical Systems and Signals
（Contributed by Prof. Jocelyn Sabatier）
Call for Papers
The goal of this special session is to gather colleagues that work in the field of fractional calculus in order to present the latest results in fractional dynamical systems and signals domain. Papers describing original research work that reflects the recent theoretical advances and experimental results as well as open new issues for research are invited. This session will cover the following topics (but not limited to):
- Signal analysis and filtering
with fractional tools (restoration, reconstruction, analysis of fractal noises,
- Fractional modeling especially of (but not limited to) thermal systems,
electrical systems (motors, transformers, skin effect, …), dielectric materials,
electrochemical systems (batteries, ultracapacitors, fuel cells, …), mechanical
systems (vibration insulation, viscoelastic materials, …), Biological systems
(muscles, lungs, …)
- System identification (linear, non linear, MIMO methods, …)
- Systems implementation (fractional controllers and filters implementation, …)
- Systems analysis (Stability, observability, controllability, …)
- Observers
- Control (Fractional PID, CRONE, H∞, …)
- Diagnosis of fractional systems
Submission Deadline: Contributed Papers and special issues must be submitted before October 19, 2012.
Submission Guidelines
Prepare our papers according to recommendations available at http://www.ecc13.ch/call.html
Contact if you intend to participate
Jocelyn Sabatier
IMS/LAPS: Automatique,
Productique, Signal et Image
Université Bordeaux1 - IPB -UMR 5218 CNRS
Bat A4 - 351, Cours de la Libération
33405 Talence Cedex, France
Email:
jocelyn.sabatier@u-bordeaux1.fr
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Books
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Fractional Dynamics: Recent Advances
Edited by: Joseph Klafter, S C Lim, Ralf Metzler
Main description
This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject.
In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers.
Contents:
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Volume 45, Issue
9–10, In Progress
Stability of the Cournot
equilibrium for a Cournot oligopoly model with n competitors
Marek Lampart
Visibility graph approach to
the analysis of ocean tidal records
Luciano Telesca, Michele Lovallo, Jorge O. Pierini
Nonlinear dynamic analysis
of 2-DOF nonlinear vibration isolation floating raft systems with feedback
control
Yingli Li, Daolin Xu, Yiming Fu, Jiaxi Zhou
Dynamics and chaos control
of gyrostat satellite
Vladimir Aslanov, Vadim Yudintsev
Chaotic invasive weed
optimization algorithm with application to parameter estimation of chaotic
systems
Mohamadreza Ahmadi, Hamed Mojallali
Stability of matter–wave
soliton in a time-dependent complicated trap
Etienne Wamba, Serge Y. Doka, Thierry B. Ekogo, Alidou Mohamadou, Timoleon C.
Kofane
Dynamics of a viral
infection model with delayed CTL response and immune circadian rhythm
Zhenguo Bai, Yicang Zhou
Optimal feedback control of
the forced van der Pol system
T.P. Chagas, B.A. Toledo, E.L. Rempel, A.C.-L. Chian, J.A. Valdivia
Almost periodicity for a
class of delayed Cohen–Grossberg neural networks with discontinuous activations
Jiafu Wang, Lihong Huang
Community structure in
real-world networks from a non-parametrical synchronization-based dynamical
approach
Abdelmalik Moujahid, Alicia d’Anjou, Blanca Cases
Dynamic properties for the
induced maps in the symmetric products
José L. Gómez-Rueda, Alejandro Illanes, Héctor Méndez
Strange chaotic triangular
maps
Marta Štefánková
Decay of Fourier modes of
solutions to the dissipative surface quasi-geostrophic equations on a finite
domain
Nikolai Chernov, Dong Li
Multifractal fluctuations in
joint angles during infant spontaneous kicking reveal multiplicativity-driven
coordination
Damian G. Stephen, Wen-Hao Hsu, Diana Young, Elliot L. Saltzman, Kenneth G.
Holt, Dava J. Newman, Marc Weinberg, Robert J. Wood, Radhika Nagpal, Eugene C.
Goldfield
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in Applied Sciences and EngineeringVolume: 22, Number:
6
To Escape Or Not To Escape, That Is The Question — Perturbing The HÉNon–Heiles
Hamiltonian
Fernando Blesa, JesÚS M. Seoane, Roberto Barrio, Miguel A. F. SanjuÁN
Behavior Patterns In Multiparametric Dynamical Systems: Lorenz Model
Roberto Barrio, Fernando Blesa, Sergio Serrano
A Parametrically Forced Nonlinear System With Reversible Equilibria
R. Wiebe, L. N. Virgin, T. P. Witelski
Numerical Analysis Of Transient And Periodic Dynamics In Single And Coupled
Nagumo–Sato Models
Makito Oku, Kazuyuki Aihara
Bifurcation Of Quasi-Periodic Oscillations In Mutually Coupled Hard-Type
Oscillators: Demonstration Of Unstable Quasi-Periodic Orbits
Kyohei Kamiyama, Motomasa Komuro, Tetsuro Endo
Homoclinic Interactions Near A Triple-Zero Degeneracy In Chua's Equation
Antonio Algaba, Manuel Merino, Alejandro J. RodrÍGuez-Luis
Intertwined Basins Of Attraction
Changming Ding
Uncertain And Stochastic Financial Models With Multiple Delays
Gabriela Mircea, Mihaela Neamţu, Olivia Bundău, Dumitru Opriş
Dynamics Of A Driven Oscillator Carrying A Freely Sliding Mass
Alexander Többens, Robert Mettin, Ulrich Parlitz
Hyperchaos In A Memristor-Based Modified Canonical Chua's Circuit
Andrew L. Fitch, Dongsheng Yu, Herbert H. C. Iu, Victor Sreeram
Applications Of Symbolic Dynamics On An Infinite Alphabet
Christopher Johnson
Direct Hamiltonization — Generalization Of An Alternative Hamiltonization
Maria Lewtchuk Espindola
Resonance Response Of A Simply Supported Rotor-Magnetic Bearing System By
Harmonic Balance
A. Y. T. Leung, Zhongjin Guo
On The Study Of Bifurcations In Delay-Differential Equations: A Frequency-Domain
Approach
Franco S. Gentile, Jorge L. Moiola, Eduardo E. Paolini
Limit Cycles For A Class Of Continuous Piecewise Linear Differential Systems
With Three Zones
MaurÍCio Firmino Silva Lima, Jaume Llibre
An Efficient And Accurate Numerical Scheme For Turing Instability On A
Predator–Prey Model
Ana Yun, Darae Jeong, Junseok Kim
Fermi Acceleration In A Periodically Driven Fermi–Ulam Model
O. F. De Alcantara Bonfim
Multiresonance And Enhanced Synchronization In Stochastically Coupled Ratchets
B. R. Nana Nbendjo, U. E. Vincent, Peter V. E. Mcclintock
A Complex Network Perspective Of World Stock Markets: Synchronization And
Volatility
Xiao Fan Liu, Chi K. Tse
Controllable V-Shape Multiscroll Butterfly Attractor: System And Circuit
Implementation
M. Affan Zidan, A. G. Radwan, K. N. Salama
Chaotic Detector For Bpsk Signals In Very Low Snr Conditions
Song Zhang, Guo-Sheng Rui
Influence Of Sampling Length And Sampling Interval On Calculating The Fractal
Dimension Of Chaotic Attractors
Cuicui Ji, Hua Zhu, Wei Jiang
Hopf Bifurcation In An Age-Dependent Population Model With Delayed Birth Process
Ping Bi, Xianlong Fu
Master-Slave Synchronization Of Nonautonomous Chaotic Systems And Its
Application To Rotating Pendulums
Ke Ding, Qing-Long Han
Dynamics In Excitable Media Subjected To A Specific Spatiotemporal Wave Under
Two Schemes
Guoyong Yuan, Zhicheng Feng, Aiguo Xu, Guangrui Wang, Shaoying Chen
Coalescence Of The Two Secondary Responses In Coupled Duffing Equations
Ting-Yu Lai, Pi-Cheng Tung, Yung-Chia Hsiao
Iteration Of Quadratic Maps On Matrix Algebras
Alexandra Nascimento Baptista, Carlos Correia Ramos, Nuno Martins
A Compressed Sensing Framework Of Frequency-Sparse Signals Through Chaotic
System
Zhong Liu, Shengyao Chen, Feng Xi
Computing The Topological Entropy Of Unimodal Maps
Rui Dilão, JosÉ AmigÓ
Highly Accurate Doublet Generator For Memristor-Based Analog Memory
Changju Yang, Maheshwar Prasad Sah, Shyam Prasad Adhikari, Dongsun Park,
Hyongsuk Kim
Global Dynamics In The PoincarÉ Ball Of The Chen System Having Invariant
Algebraic Surfaces
Jaume Llibre, Marcelo Messias, Paulo Ricardo Da Silva
Irreversible Bifurcation Phenomenon In Power-Grid Connected Converter Systems
Cheng Wan, Meng Huang, Chi K. Tse, Siu-Chung Wong, Xinbo Ruan
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Formulation of Euler–Lagrange equations for fractional variational problems
Publication information: Om P. Agrawal, Formulation of Euler–Lagrange equations for fractional variational problems. Journal of Mathematical Analysis and Applications 272(1), 2002, Pages 368–379. http://www.sciencedirect.com/science/article/pii/S0022247X02001804.Abstract: This paper presents extensions to traditional calculus of variations for systems containing fractional derivatives. The fractional derivative is described in the Riemann–Liouville sense. Specifically, we consider two problems, the simplest fractional variational problem and the fractional variational problem of Lagrange. Results of the first problem are extended to problems containing multiple fractional derivatives and unknown functions. For the second problem, we also present a Lagrange type multiplier rule. For both problems, we develop the Euler–Lagrange type necessary conditions which must be satisfied for the given functional to be extremum. Two problems are considered to demonstrate the application of the formulation. The formulation presented and the resulting equations are very similar to those that appear in the field of classical calculus of variations.
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Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
Dumitru Baleanu and Sami I Muslih
Publication information: Dumitru Baleanu and Sami I Muslih, Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives, Phys. Scr., 72, 2005, 119, doi:10.1238/Physica.Regular.072a00119.
Abstract: The classical fields with fractional derivatives are investigated by using the fractional Lagrangian formulation. The fractional Euler-Lagrange equations were obtained and two examples were studied.
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Institute of Mathematics-Czestochowa University of Technology
E-mail: mpklimek@o2.pl
(Part
of information comes from http://em.hhu.edu.cn/fda12/Klimek.html)
Dr. Malgorzata Klimek studied at the Technical University of Wroclaw and
obtained M.Sc. in Mathematics in 1981. The Ph.D. degree in Mathematical Physics,
Malgorzata Klimek received in 1993 from the Institute of Theoretical Physics of
Wroclaw University. Then she earned the Habilitation in 2003 at the Wroclaw
University.
Currently she is an associate professor at the Institute of Mathematics-Czestochowa
University of Technology. She serves also as Chair of the Department of
Industrial Mathematics. Malgorzata Klimek conducts lectures and seminars in
various fields of pure and applied mathematics. Her scientific interests include
global and differential conservation laws for models on non-commutative and
discrete spaces, fractional mechanics and theory of fractional differential
equations. She published over 50 research papers in international journals and
conferences and authored one book “On Solutions of Linear Fractional
Differential Equations of a Variational Type” (2009).
Selected Papers:
1. Title: Sequential fractional differential equations with Hadamard
derivative
Author(s): Klimek M.
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 16(12),
Special Issue: SI, Pages: 4689-4697, 2011
2. Title: Numerical solution of fractional oscillator equation
Author(s): Blaszczyk T.; Ciesielski M.; Klimek M.; et al.
Source: APPLIED MATHEMATICS AND COMPUTATION, 218(6): 2480-2488, 2011
3. Title: Existence - uniqueness result for a certain equation of motion in
fractional mechanics
Author(s): Klimek M.
Conference: Conference on Optical Fibers and Their Applications Location:
Krasnobrod, POLAND Date: OCT, 2009
Source: BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 58(4):
573-581, 2010
4. Title: On analogues of exponential functions for antisymmetric fractional
derivatives
Author(s): Klimek Malgorzata
Source: COMPUTERS & MATHEMATICS WITH APPLICATIONS, 59(5), Special Issue: SI,
Pages: 1709-1717, 2010
5. Title: Solutions of Euler-Lagrange equations in fractional mechanics
Author(s): Klimek M.
Source: XXVI WORKSHOP ON GEOMETRICAL METHODS IN PHYSICS, Book Series: AIP
CONFERENCE PROCEEDINGS, 956: 73-78, 2007
6. Title: Lagrangian fractional mechanics - a noncommutative approach
Author(s): Klimek M
Source: CZECHOSLOVAK JOURNAL OF PHYSICS, 55(11): 1447-1453, 2005
7. Title: Lagrangean and Hamiltonian fractional sequential mechanics
Author(s): Klimek M
Source: CZECHOSLOVAK JOURNAL OF PHYSICS, 52(11): 1247-1253, 2002
8. Title: Stationarity-conservation laws for fractional differential equations
with variable coefficients
Author(s): Klimek M
Source: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 35(31): 6675-6693, 2002
9. Title: Fractional sequential mechanics - models with symmetric fractional
derivative
Author(s): Klimek M
Source: CZECHOSLOVAK JOURNAL OF PHYSICS, 51(12): 1348-1354, 2001
10. Title: Stationarity-conservation laws for certain linear fractional
differential equations
Author(s): Klimek M
Source: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 34(31): 6167-6184, 2001
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The End of This Issue
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