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Dynamical Systems in Classical Mechanics
This book shows that the phenomenon of integrability is related not only to Hamiltonian systems, but also to a wider variety of systems having invariant measures that often arise in nonholonomic mechanics. Each paper presents unique ideas and original approaches to various mathematical problems related to integrability, stability, and chaos in classical dynamics. Topics include... the inverse Lyapunov theorem on stability of equilibria geometrical aspects of Hamiltonian mechanics from a hydrodynamic perspective current unsolved problems in the dynamical systems approach to classical mechanics.
Mathematical Reviews
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Billiards: A Genetic Introduction to the Dynamics of Systems with Impacts
Starting with the work of G D Birkhoff, billiards have been a popular research topic drawing on such areas as ergodic theory, Morse theory, and KAM theory. Billiard systems are also remarkable in that they arise naturally in a number of important problems of mechanics and physics. This book is devoted to mathematical aspects of the theory of dynamical systems of billiard type. Focusing on the genetic approach, the authors strive to clarify the genesis of the basic ideas and concepts of the theory of dynamical systems with impact intereactions and also to demonstrate that these methods are natural and effective. Recent limit theorems, which justify various mathematical models of impact theory, are key features. Questions of existence and stability of periodic trajectories of elastic billiards occupy a special place in the book, and considerable attention is devoted to integrable billiards. A brief survey is given of work on billiards with ergodic behaviour. Each chapter ends with a list of problems.
The Rebirth of the Russian Space Program
This, fifty years after Sputnik, is the definitive book on the Russian space program. The author covers all the key elements of the current Russian space program, including both manned and unmanned missions. He examines the various types of unmanned applications programs as well as the crucial military program, and even analyzes the infrastructure of production, launch centres and tracking. You’ll also find discussion of the commercialization of the program and its relationship with western companies. Russia’s current space experiment is also put in a comparative global context. Strong emphasis is placed on Russia’s future space intentions and on new programs and missions in prospect.
Current Problems and Ways of Industry Development: Equipment and Technologies
This book is a reflection of the modern scientific view of current and future problems and prospects of industry development: equipment and technologies. It combines the results of advanced researches of industry development: equipment and technologies in the field of various sciences – both technical and humanitarian, the synthesis of which allowed forming a holistic meta-scientific concept of industry development: equipment and technologies. The book consists of two parts. The first part reflects technical problems and ways of industry development: equipment and technologies. It examines the promising technologies for modern industrial development, the technogenic factors of neo-industri...
Nonlinear Dynamical Systems and Chaos
Symmetries in dynamical systems, "KAM theory and other perturbation theories", "Infinite dimensional systems", "Time series analysis" and "Numerical continuation and bifurcation analysis" were the main topics of the December 1995 Dynamical Systems Conference held in Groningen in honour of Johann Bernoulli. They now form the core of this work which seeks to present the state of the art in various branches of the theory of dynamical systems. A number of articles have a survey character whereas others deal with recent results in current research. It contains interesting material for all members of the dynamical systems community, ranging from geometric and analytic aspects from a mathematical point of view to applications in various sciences.
The Riemann-Hilbert Problem
The Riemann-Hilbert problem (Hilbert's 21st problem) belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concerns the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this turned out to be a rare case of a wrong forecast made by him. In 1989 the second author (A. B.) discovered a counterexample, thus obtaining a negative solution to Hilbert's 21st problem in its original form.
International Scientific Conference Energy Management of Municipal Facilities and Sustainable Energy Technologies EMMFT 2018
This book presents a collection of the latest studies on and applications for the sustainable development of urban energy systems. Based on the 20th International Scientific Conference on Energy Management of Municipal Facilities and Sustainable Energy Technologies, held in Voronezh and Samara, Russia from 10 to 13 December 2018, it addresses a range of aspects including energy modelling, materials and applications in buildings; heating, ventilation and air conditioning systems; renewable energy technologies (photovoltaic, biomass, and wind energy); electrical energy storage; energy management; and life cycle assessment in urban systems and transportation. The book is intended for a broad readership: from policymakers tasked with evaluating and promoting key enabling technologies, efficiency policies and sustainable energy practices, to researchers and engineers involved in the design and analysis of complex systems.
