FDA Express    Vol. 3, No. 2, Apr. 28, 2012

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

◆  Conferences

       FDA2012 Updates

◆  Books

       Mathematics of Complexity and Dynamical Systems
       Functional Fractional Calculus

◆  Journals

       Chaos, Solitons & Fractals

       International Journal of Bifurcation and Chaos 
◆  Classical Papers
       Fractional-order systems and PIλDμ controllers

       Discretization schemes for fractional-order differentiators and integrators

◆  Researchers & Groups

       Yuriy A Rossikhin
 

========================================================================
 Conferences
－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－

FDA2012 Updates

By now, the Fifth IFAC symposium on Fractional Differentiation and its Application has received 325 abstracts and 256 full papers covering most theoretical and application fields of fractional calculus. This notice is to call your attention on some updates of FDA2012.

Tentative Program: http://em.hhu.edu.cn/fda12/Program.html

Poster style: http://em.hhu.edu.cn/fda12/Forauthors.html

Information about special issues: http://em.hhu.edu.cn/fda12/Specialissues.html

Payment through bank remittance:  http://em.hhu.edu.cn/fda12/Bankaccount.htm

Roadmap to Nanjing: http://em.hhu.edu.cn/fda12/Venue.html

Map of hotels and Conference Venue: http://em.hhu.edu.cn/fda12/Registration/hotel1.jpg

From Nanjing Grand Hotel to Conference Venue: http://em.hhu.edu.cn/fda12/Registration/Gunandu1.pdf

From JinDun Hotel to Conference Venue: http://em.hhu.edu.cn/fda12/Registration/Jindun1.pdf

From Nanshan Expert Hotel to Conference Venue: http://em.hhu.edu.cn/fda12/Registration/Nanshi1.pdf

Post-meeting technical/cultural activities: http://em.hhu.edu.cn/fda12/activities.html

Frequently Asked Questions: http://em.hhu.edu.cn/fda12/FDA_FAQ.htm

If you have further inquiries, please email us at fda12@hhu.edu.cn or sun.fda2012@gmail.com.

        [Back]

==========================================================================

Books

－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－

Mathematics of Complexity and Dynamical Systems

Robert A. Meyers

http://www.springer.com/new+%26+forthcoming+titles+%28default%29/book/978-1-4614-1805-4

• Provides an in-depth treatment of the study of mathematical complexity and dynamical systems

• Presents theory, techniques and applications

• Demonstrates how the behavior of an entire system is often more than the sum of its parts

• Gathers together more than 100 mathematically-oriented, peer-reviewed entries from the 11-volume Encyclopedia of Complexity and Systems Science

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics.  Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures.  These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic.

The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifracticals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics.  Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Keywords: Dynamical Systems - Dynamical systems book - Ergodic Theory - Fractals and Multifractals - Mathematical Complexity book - Mathematical compexity reference - Non-Linear Ordinary Differential Equations and - Perturbation Theory - Solitons - Systems and Control Theory

Related subjects: Applications - Complexity - Dynamical Systems & Differential Equations - Theoretical Computer Science

Table of contents

• Ergodic Theory

• Catastrophe Theory

• Infinite Dimensional Controllability

• Philosophy of Science, Mathematical Models In

• Fractals and Multifractals

• Non-linear Ordinary Differential Equations and Dynamical Systems

• Non-Linear Partial Differential Equations

• Perturbation Theory

• Solitons

• Systems and Control Theory

       [Back]

－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－

Functional Fractional Calculus

Ivo Petráš

"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order.

The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level.  

Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.

Keywords: Control of chaos - Fractional calculus - Fractional chaotic systems - Matlab programs chaos - Simulink models - Stability of fractional order systems

Related subjects: Control Engineering - Dynamical Systems & Differential Equations - Statistical Physics & Dynamical Systems

Table of contents

• Introduction

• Fractional Calculus

• Fractional-Order Systems

• Stability of Fractional-Order Systems

• Fractional-Order Chaotic Systems

• Control of Chaotic Systems.- Conclusion