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Chaos, Fractals and Complexity

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. Tassos Bountis

    1. Mathematics, University of Patras, Patras, Greece

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  2. Filippos Vallianatos

    1. Geology and Geoenvironment, National and Kapodistrian University of Athens, Athens, Greece

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  3. Astero Provata

    1. Institute of Nanoscience and Nanotechnology, National Center for Scientific Research Demokritos, Agia Paraskevi, Athens, Greece

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  4. Dimitris Kugiumtzis

    1. Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece

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  5. Yannis Kominis

    1. School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Athens, Greece

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  • Specializes on the concepts and methods of dynamical and complex systems
  • Explains the role of mathematics, modeling and numerical simulation
  • Includes lectures on fundamental phenomena, theories and methodologies that arise in complexity

Part of the book series: Springer Proceedings in Complexity (SPCOM)

Included in the following conference series:

Conference proceedings info: COSA-Net 2022.

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About this book

This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling.

The papers presented here are selected from lectures given at the 28th Summer School “Dynamical Systems and Complexity”, July 18 – 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world.





Keywords

Table of contents (25 papers)

  1. Front Matter

    Pages i-xxv
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  3. Fractals

    1. Front Matter

      Pages 123-123
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    2. Multifractal Analysis of SEM Images of Multiphase Materials: The Case of OPC Clinker

      • M. Chatzigeorgiou, V. Constantoudis, M. Katsiotis, N. Boukos
      Pages 125-137

    3. Fractal Dimensional Analysis for Retinal Vascularization Images in Retinitis Pigmentosa: A Pilot Study

      • Francesca Minicucci, Fotios D. Oikonomou, Angela A. De Sanctis
      Pages 139-152

    4. Extending the Bayesian Framework from Information to Action

      • Vasileios Basios, Yukio-Pegio Gunji, Pier-Francesco Moretti
      Pages 153-165

  4. Complexity

    1. Front Matter

      Pages 167-167
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    2. Fokas on Medical Imaging: Analytic Reconstructions for Emission Tomography

      • Nicholas E. Protonotarios, Konstantinos Kalimeris, George A. Kastis
      Pages 169-187

    3. Inverse EEG Problem, Minimization and Numerical Solutions

      • Georgia Parakevopoulou, Athanassios S. Fokas, Antonios Charalambopoulos, Stavros Perantonis
      Pages 189-198

    4. Traveling Waves in Flowing Sand: The Dynamical Systems Approach

      • Ko van der Weele, Dimitrios Razis, Giorgos Kanellopoulos
      Pages 199-212

    5. Identifying Discrete Breathers Using Convolutional Neural Networks

      • T. Dogkas, M. Eleftheriou, G. D. Barmparis, G. P. Tsironis
      Pages 213-220

    6. Subthreshold Oscillations in Multiplex Leaky Integrate-and-Fire Networks with Nonlocal Interactions

      • K. Anesiadis, J. Hizanidis, A. Provata
      Pages 221-231

    7. Networks’ Modulation: How Different Structural Network Properties Affect the Global Synchronization of Coupled Kuramoto Oscillators

      • Juliette Courson, Thanos Manos, Mathias Quoy
      Pages 233-244
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Other volumes

  1. Chaos, Fractals and Complexity

Editors and Affiliations

  • Mathematics, University of Patras, Patras, Greece

    Tassos Bountis

  • Geology and Geoenvironment, National and Kapodistrian University of Athens, Athens, Greece

    Filippos Vallianatos

  • Institute of Nanoscience and Nanotechnology, National Center for Scientific Research Demokritos, Agia Paraskevi, Athens, Greece

    Astero Provata

  • Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Dimitris Kugiumtzis

  • School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Athens, Greece

    Yannis Kominis

About the editors

Tassos Bountis is Professor Emeritus of the Department of Mathematics, University of Patras, Greece. He has been the director of the Center for Research and Application of Nonlinear Systems of the University of Patras, and the Laboratory of Nonlinear Systems and Applied Analysis. In 2014 he was elected Corresponding Member of the Academy of Athens in the chair of complex systems. He was the recipient of the 2014 Charles Hermite Science Ambassador Award of Saar/Germany and the 2009 Academy of Athens Award for “Dynamical Systems”. In 2015 he was elected member of the European Academy of Science and Arts, at Salzburg, Austria.

Bibliographic Information

  • Book Title: Chaos, Fractals and Complexity

  • Editors: Tassos Bountis, Filippos Vallianatos, Astero Provata, Dimitris Kugiumtzis, Yannis Kominis

  • Series Title: Springer Proceedings in Complexity

  • DOI: https://doi.org/10.1007/978-3-031-37404-3

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-37403-6Published: 22 September 2023

  • Softcover ISBN: 978-3-031-37406-7Due: 05 October 2024

  • eBook ISBN: 978-3-031-37404-3Published: 20 September 2023

  • Series ISSN: 2213-8684

  • Series E-ISSN: 2213-8692

  • Edition Number: 1

  • Number of Pages: XXV, 374

  • Number of Illustrations: 17 b/w illustrations, 85 illustrations in colour

  • Topics: Complex Systems, Complexity, Neurosciences, Geometry

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