Bøger af Tassos Bountis

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.

Chaotic Dynamics: Theory: Complexity, Control and Data Representation: Complexity and Unpredictable Scaling of Hierarchical Structures; R. Badii. Fractals, Multifractals, and Analyticity of Normal Forms: Multifractal Coding Measures in Dynamics; G. Mantica. Integrability, Painlevé Property, and Singularity Analysis: Note on a Complex Eckhaus Equation; M.F. Jorgensen, et al.. Statistical Physics, Celestial Mechanics, and Cosmology: Phase Transitions Within the Fully Developed Regime; R. Kluiving. Chaotic Dynamics: Practice: Controlling Dynamical Systems: Feedback Control of Chaotic Systems; . Romeiras et al.. Semiconductors, Superconductors, Lasers, and Electronic Circuits: Chaotic Dynamics in Practice; E. Del Rio, et al . Biology, Chemistry, Atmospheric, and Magnetospheric Dynamics: Irregular Bursting in Model Neurones; J. Hyde. Hamiltonian Dynamics, Dissipative Dynamics, and Normal Forms. 30 additional articles. Index.

Introduction: From Fluid Particles to Physical Particles; M. Mareschal, B.L. Holian. Non-Equilibrium Molecular Dynamics: Theoretical Foundation and Rheological Application of NonEquilibrium Molecular Dynamics; G. Ciccotti, et al. Lattice Gases: Lattice Boltzmann Simulation of High Reynolds Number Fluid Flow in Two Dimensions; G. McNamara, B.J. Alder. Other Simulation Methods: A Contemporary Implementation of the Direct Simulation Monte Carlo Method; G.A. Bird. Chaos, Turbulence, and Irreversibility: Lyapunov Exponents and Bulk Transport Coefficients; D. Evans, et al. Related Topics: Statistical Fracture Mechanics; A. Chudnovsky, B. Kunin. Recollections: The Long Time Tail Story; B.J. Adler. 22 additional articles. Index.

This book explores modern developments in Hamiltonian dynamical systems, focusing on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. Includes end-of-chapter exercises and challenging problems.