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

Covers risk reduction management in complex systems Describes an artificial intelligence approach to understand complex systems Explains the relationship between transient chaos and crises

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
Preface.- Shannon Information Analysis of the Chromosome Code..- An Unfair Coin of the Standard & Poor's 500.- Relativistic chaotic scattering.- Artificial Intelligence for Studying Perception of Ambiguous Images and Decision-Marking Processes in the Human BrainMultistability Coexistence of Memristive Chaotic System, and the Application in Image Decryption.- Extreme Events and Emergency Scales .- Evolution of Systems with Power-Law Memory: Do We Have to Die?.- Probability Entanglement and Destructive Interference in Biased Coin Tossing.- On the solvability of some systems of integro-dierential equations with drift..- Solvability in The Sense of Sequences For Some Non Fredholm Operators With The Bi-Laplacian .- The Preservation of Nonnegativity of Solutions of A Parabolic System With The Bi-Laplacian.- Inverse problems for some systems of parabolic equations with coefcient depending on time.