Путешествие к семи чудесам света. (Za siedmimi divmi sveta, 1975) . Научно-художественная литература. Для старшего возраста

In recent decades, turbulence has evolved into a very active field of theoretical physics. The origin of this development is the approach to turbulence from the point of view of deterministic dynamical systems, and this book shows how concepts developed for low dimensional chaotic systems are applied to turbulent states. This book centers around a number of important simplified models for turbulent behavior in systems ranging from fluid motion (classical turbulence) to chemical reactions and interfaces in disordered systems. The theory of fractals and multifractals now plays a major role in turbulence research, and turbulent states are being studied as important dynamical states of matter occurring also in systems outside the realm of hydrodynamics. The book contains simplified models of turbulent behavior, notably shell models, coupled map lattices, amplitude equations and interface models. This Book Treats Turbulence From The Point Of View Of Dynamical Systems. In Recent Decades, Turbulence Has Evolved Into A Very Active Field Of Theoretical Physics. The Modern Theory Of Fractals And Multifractals Now Plays A Major Role In Turbulence Research, And Turbulent States Are Being Studied As Important Dynamical States Of Matter, In A Much Broader Context Than Hydrodynamics. The Origin Of This Development Is The Approach To Turbulence From The Point Of View Of Deterministic Dynamical Systems, And In This Book It Is Shown How Concepts Developed For Low Dimensional Chaotic Systems Can Be Applied To Turbulent States. Fills a gap between the new fields of non-linear and chaotic dynamical systems, and the more traditional field of hydrodynamics and turbulence. The book contains the first coherent presentation of the applications of shell models to fully developed hydrodynamical turbulence. One of the main goals in the development of the theory of chaotic dynamical systems has been to make progress in the understanding of turbulence.