The Many Facets of Complexity Science

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.

The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, and urban planners.

• nonlinear dynamics
• information, entropy and complexity function
• mixed and anisotropic diffusions
• periodic motions and oscillations
• nonlinear dynamical systems
• complex systems
• rhythmic synchronization
• rotation and convection in fluids
• Valentin Afraimovich

• Mathematics and Statistics, Texas Tech University, Lubbock, USA

  Dimitri Volchenkov

Dr. Dimitri Volchenkov obtained his Ph.D. in Theoretical Physics in the Saint Petersburg State University(Russia) and habilitated in the CNRS Centre de Physique Theorique (Marseille, France). He is Associate Professor of Mathematics and Statistics at the Texas Tech University (USA) and Professor of Risk Assessment and Data Science at the Sichuan University of Science and Engineering (China). His research interests are the science of complexity and interdisciplinary physics ranging from the stochastic nonlinear dynamics, to plasma turbulence, to urban spatial networks, their impact on poverty and environments, analysis of complex networks, data analysis of economic, inequality and politics data, big data analytics, survival analysis and modelling of evolutionary biology and ecology.

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