TY - BOOK ID - 80746406 TI - Nonlinear dynamics, chaos, and complexity : in memory of Professor Valentin Afraimovich PY - 2021 SN - 9811590346 9811590338 PB - Gateway East, Singapore : Springer : Higher Education Press, DB - UniCat KW - Dynamics. KW - Ergodic theory. KW - Vibration. KW - Dynamical systems. KW - Statistical physics. KW - Dynamical Systems and Ergodic Theory. KW - Vibration, Dynamical Systems, Control. KW - Complex Systems. KW - Applications of Nonlinear Dynamics and Chaos Theory. KW - Physics KW - Mathematical statistics KW - Dynamical systems KW - Kinetics KW - Mathematics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Statics KW - Cycles KW - Sound KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) KW - Statistical methods KW - Differentiable dynamical systems. KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Differential equations KW - Global analysis (Mathematics) KW - Topological dynamics KW - Multibody systems. KW - Mechanics, Applied. KW - System theory. KW - Nonlinear Optics. KW - Dynamical Systems. KW - Multibody Systems and Mechanical Vibrations. KW - Optics, Nonlinear KW - Optics KW - Lasers KW - Systems, Theory of KW - Systems science KW - Science KW - Applied mechanics KW - Engineering, Mechanical KW - Engineering mathematics KW - Multi-body systems KW - Systems, Multibody KW - Philosophy UR - https://www.unicat.be/uniCat?func=search&query=sysid:80746406 AB - This book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems. It becomes clear nowadays that the standard (graph-based) network approach, in which observable events and transportation hubs are represented by nodes and relations between them are represented by edges, fails to describe the important properties of complex systems, capture the dependence between their scales, and anticipate their future developments. Therefore, authors in this book discuss the new generalized theories capable to describe a complex nexus of dependences in multi-level complex systems and to effectively engineer their important functions. The collection of works devoted to the memory of Professor Valentin Afraimovich introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in physics, machine learning, brain and urban dynamics. The book can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, urban planners, and even musicians (with some mathematical background). . ER -