Mathematical Methods in Modern Complexity Science

This book presents recent developments in nonlinear and complex systems. It provides recent theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers information theory, relativistic chaotic dynamics, data analysis, relativistic chaotic dynamics, solvability issues in integro-differential equations, and inverse problems for parabolic differential equations, synchronization and chaotic transient. Presents new concepts for understanding and modeling complex systems

Auteur

Dr J. A. Tenreiro Machado was born at 1957. He graduated with 'Licenciatura' (1980), PhD. (1989) and 'Habilitation' (1995), in Electrical and Computer Engineering at the University of Porto. During 1980-1998 he worked at the Dept. of Electrical and Computer Engineering of the University of Porto. Since 1998 he works at the Institute of Engineering, Polytechnic Institute of Porto, Dept. of Electrical Engineering. His research focuses on complex systems, nonlinear dynamics, fractional calculus, modeling, entropy, control, and evolutionary computing, as well as genomics. Prof. J. A. Tenreiro Machado is a member of the Editorial boards of several international journals, guest editor of Special Issues, and has about 1000 publications in journals, conferences, and books.

Dr. Dimitri Volchenkov, an Associate Professor of Applied Mathematics, Mathematics and Statistics Department, Texas Tech University (USA) and a Thousand talent plan of China Professor in the Artificial Intelligence Key Laboratory of Sichuan Province, School of Automation and Information Engineering, Sichuan University of Science and Engineering (China). He is a qualified professor in France and Germany, admitted as Nationally recognized Talent of China, awarded by Cheung Kong Scholarship (China), Alexander von Humboldt and Volkswagen Fellowships (Germany), NATO/OTAN and C.N.R.S Fellowships (France), George Soros Foundation (USA) and Scientists Federal Awards (Russia). He is an expert in data analysis, complexity science, network theory, stochastic non-linear dynamics, control, and uncertainty in the real-world systems

Contenu
1. Preface by Dr. Dimitri Volchenkov2. Chapter 1 . J. A. Tenreiro Machado, Shannon Information Analysis of the Chromosome Code.**3. Chapter 2. Dimitri Volchenkov, Veniamin Smirnov, An Unfair Coin of the Standard & Poor's 500*4. Chapter 3. *Relativistic chaotic scattering by Juan D. Bernal, Jesus M. Seoane, Miguel A.F. Sanjuan5. Chapter 4. Artificial Intelligence for Studying Perception of Ambiguous Images and Decision-Marking Processes in the Human Brain by Alexander N. Pisarchik, Anastasija E. Runnova, Nikita S. Frolov, and Alexander E. Hramov6. Chapter 5. Fuhong Min, Chuang Li, Multistability Coexistence of Memristive Chaotic System, and the Application in Image Decryption*7. Chapter 6: Veniamin Smirnov, Zhuanzhuan Ma, And Dimitri Volchenkov, *Extreme Events and Emergency Scales 8. Chapter 7: M. Edelman, *Evolution of Systems with Power-Law Memory: Do We Have to Die?9. Chapter 8: Dimitri Volchenkov, Probability Entanglement and Destructive Interference in Biased Coin Tossing10. Chapter 9: Messoud Efendiev, Vitali Vougalter, *On the solvability of some systems of integro-dierential equations with drift.11. Chapter 10: Vitali Vougalter, Vitaly Volpert, Solvability in The Sense of Sequences For Some Non Fredholm Operators With The Bi-Laplacian 12. Chapter 11: Vitali Vougalter, The Preservation of Nonnegativity of Solutions of A Parabolic System With The Bi-Laplacian