Chaos, Fractals and Complexity

ISBN-13: 9783031374036 / Angielski / Twarda / 2023

Opis

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.

Spis treści

              Introduction by the Editorial Committee

Chapter 1. Nonlinear Dynamics and Chaos

(a)   Review of advances in Hamiltonian Dynamics

(b)   Progress in Conservative and Dissipative Systems

(c)   Integrable systems, Solitons and Wave Propagation

(d)   Applications in Physics and Engineering

Chapter 2. Fractal Geometry and Applications

(a)   Review of advances in Fractal Analysis

(b)   Progress in the study of fractal basins of attraction

(c)   Applications of fractal geometry in Biology

(d)   Fractal analysis of paintings

Chapter 3. Complexity Science and Applications

(a)   Understanding Complex Systems

(b)   Methodologies on the analysis of Complex Systems

(c)   Progress in Complex Networks

(d)   Multiscale Evolutionary Processes

(e)   Complexity in Geosciences

Chapter 4.  Neuroscience and Photonics

(a)   Neuronal synchronization and brain dynamics

(b)   Chimera states in biological networks

(c)   Electrophysiology, imaging and machine learning

(d)   Laser synchronization in non-Hermitian photonics

(e)   Phase locking and waveform generation in coupled lasers

Chapter 5:  Nonlinear Time Series Analysis

(a)   Correlation and causality networks from time series

(b)   Data analysis, dynamics and prediction in seismic time series

(c)   Dynamics and prediction in Economics and Finance

(d)   Data analysis and prediction in Meteorology

 

O autorze

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.