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  • © 2022

Mathematical Methods in Modern Complexity Science

  • Covers risk reduction management in complex systems

  • Describes an artificial intelligence approach to understand complex systems

  • Explains the relationship between transient chaos and crises

Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 33)

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eBook USD 109.00
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  • ISBN: 978-3-030-79412-5
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Hardcover Book USD 149.99
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Table of contents (11 chapters)

  1. Front Matter

    Pages i-x
  2. Shannon Information Analysis of the Chromosome Code

    • J. A. Tenreiro Machado
    Pages 1-12
  3. An Unfair Coin of the Standard & Poor’s 500

    • Dimitri Volchenkov, Veniamin Smirnov
    Pages 13-31
  4. Relativistic Chaotic Scattering

    • Juan D. Bernal, Jesús M. Seoane, Miguel A. F. Sanjuán
    Pages 33-62
  5. Complex Dynamics of Solitons in Rotating Fluids

    • Lev A. Ostrovsky, Yury A. Stepanyants
    Pages 63-78
  6. Extreme Events and Emergency Scales

    • Veniamin Smirnov, Zhuanzhuan Ma, Dimitri Volchenkov
    Pages 99-128

About this book

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

Keywords

  • Nonlinear differential systems
  • Chaos and complexity
  • Chaotic systems
  • Complex systems
  • Risk management in complex systems
  • Nonlinear systems
  • Transient chaos
  • Symmetry group
  • Information Theory
  • Artificial Intelligence
  • Data Analysis
  • Nonlinear signal processing
  • Synchronization

Editors and Affiliations

  • Department of Mathematics & Statistics, Texas Tech University, Lubbock, USA

    Dimitri Volchenkov

  • ISEP-Institute of Engineering, Polytechnic of Porto, Porto, Portugal

    J. A. Tenreiro Machado

About the editors

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

Bibliographic Information

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-79412-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book USD 149.99
Price excludes VAT (USA)