This book explores recent developments in theoretical research and data analysis of real-world complex systems, organized in three parts, namely

Entropy, information, and complexity functions

Multistability, oscillations, and rhythmic synchronization

Diffusions, rotation, and convection in fluids

The collection of works devoted to the memory of Professor Valentin Afraimovich provides a deep insight into the recent developments in complexity science by introducing new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to economics, genetics, engineering vibrations, as well as classic problems in physics, fluid and climate dynamics, and urban dynamics.