Leonid Fridman's Books

Self-Oscillations in Dynamic Systems

A New Methodology via Two-Relay Controllers

By: Luis T. Aguilar,Igor Boiko,Leonid Fridman,Rafael Iriarte

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Self-Oscillations in Dynamic Systems

A New Methodology via Two-Relay Controllers

By: Luis T. Aguilar,Igor Boiko,Leonid Fridman,Rafael Iriarte

This monograph presents a simple and efficient two-relay control algorithm for generation of self-excited oscillations of a desired amplitude and frequency in dynamic systems. Developed by the authors, the two-relay controller consists of two relays switched by the feedback received from a linear or nonlinear system, and represents a new approach to the self-generation of periodic motions in underactuated mechanical systems. The first part of the book explains the design procedures for two-relay control using three different methodologies – the describing-function method, Poincaré maps, and the locus-of-a perturbed-relay-system method – and concludes with stability analysis of designed periodic oscillations. Two methods to ensure the robustness of two-relay control algorithms are explored in the second part, one based on the combination of the high-order sliding mode controller and backstepping, and the other on higher-order sliding-modes-based reconstruction of uncertainties and their compensation where Lyapunov-based stability analysis of tracking error is used. Finally, the third part illustrates applications of self-oscillation generation by a two-relay control with a Furuta pendulum, wheel pendulum, 3-DOF underactuated robot, 3-DOF laboratory helicopter, and fixed-phase electronic circuits. Self-Oscillations in Dynamic Systems will appeal to engineers, researchers, and graduate students working on the tracking and self-generation of periodic motion of electromechanical systems, including non-minimum-phase systems. It will also be of interest to mathematicians working on analysis of periodic solutions.

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163

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Birkhäuser

Published Date

ISBN 10

3319233033

ISBN 13

9783319233031

Sliding Mode Based Analysis and Identification of Vehicle Dynamics

By: Hocine Imine,Leonid Fridman,Hassan Shraim,Mohamed Djemai

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Sliding Mode Based Analysis and Identification of Vehicle Dynamics

By: Hocine Imine,Leonid Fridman,Hassan Shraim,Mohamed Djemai

Vehicles are complex mechanical systems with strong nonlinear characteristics and which can present some uncertainties due to their dynamic parameters such as masses, inertias, suspension springs, tires side slip coefficients, etc. A vehicle is composed of many parts, namely the unsprung mass, the sprung mass, the suspension which makes the link between these two masses and therefore ensures passenger comfort, and also the pneumatic which absorbs the energy coming from the road and ensures contact between the vehicle and the road. In addition to its complexity and the presence of many nonlinearities and uncertainties, the presence of some external perturbations, such as the wind and the road inputs with its own characteristics (radius of curvature, longitudinal and lateral slop, road profile and skid resistance) can cause risks not only to the vehicle but also to passengers and other road users. Many methods have been developed in order to understand the behavior of a vehicle ( light and heavy vehicle), control it and assist the driver in order to avoid possible lane departures, rollover or jackknifing risks, to ensure a better passenger comfort by means of a suspension control and/or to estimate a safety speed and trajectory.

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130

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642222234

ISBN 13

9783642222238

Sliding Mode Control and Observation

By: Yuri Shtessel,Christopher Edwards,Leonid Fridman,Arie Levant

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Sliding Mode Control and Observation

By: Yuri Shtessel,Christopher Edwards,Leonid Fridman,Arie Levant

The sliding mode control methodology has proven effective in dealing with complex dynamical systems affected by disturbances, uncertainties and unmodeled dynamics. Robust control technology based on this methodology has been applied to many real-world problems, especially in the areas of aerospace control, electric power systems, electromechanical systems, and robotics. Sliding Mode Control and Observation represents the first textbook that starts with classical sliding mode control techniques and progresses toward newly developed higher-order sliding mode control and observation algorithms and their applications. The present volume addresses a range of sliding mode control issues, including: *Conventional sliding mode controller and observer design *Second-order sliding mode controllers and differentiators *Frequency domain analysis of conventional and second-order sliding mode controllers *Higher-order sliding mode controllers and differentiators *Higher-order sliding mode observers *Sliding mode disturbance observer based control *Numerous applications, including reusable launch vehicle and satellite formation control, blood glucose regulation, and car steering control are used as case studies Sliding Mode Control and Observation is aimed at graduate students with a basic knowledge of classical control theory and some knowledge of state-space methods and nonlinear systems, while being of interest to a wider audience of graduate students in electrical/mechanical/aerospace engineering and applied mathematics, as well as researchers in electrical, computer, chemical, civil, mechanical, aeronautical, and industrial engineering, applied mathematicians, control engineers, and physicists. Sliding Mode Control and Observation provides the necessary tools for graduate students, researchers and engineers to robustly control complex and uncertain nonlinear dynamical systems. Exercises provided at the end of each chapter make this an ideal text for an advanced course taught in control theory.

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369

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Springer Science & Business Media

Published Date

ISBN 10

0817648933

ISBN 13

9780817648930

Robust Output LQ Optimal Control via Integral Sliding Modes

By: Leonid Fridman,Alexander Poznyak,Francisco Javier Bejarano

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Robust Output LQ Optimal Control via Integral Sliding Modes

By: Leonid Fridman,Alexander Poznyak,Francisco Javier Bejarano

Featuring original research from well-known experts in the field of sliding mode control, this book presents new design schemes for a useful and practical optimal control with very few impractical assumptions. The results presented allow optimal control theory to grow in its applicability to real-world systems. On the cutting-edge of optimal control research, this book is an excellent resource for both graduate students and researchers in engineering, mathematics, and optimal control.

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150

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Springer

Published Date

ISBN 10

081764962X

ISBN 13

9780817649623

Grobner-shirshov Bases: Normal Forms, Combinatorial And Decision Problems In Algebra

By: Leonid Bokut,Yuqun Chen,Kyriakos Kalorkoti,Pavel Kolesnikov,Viktor E Lopatkin

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Grobner-shirshov Bases: Normal Forms, Combinatorial And Decision Problems In Algebra

By: Leonid Bokut,Yuqun Chen,Kyriakos Kalorkoti,Pavel Kolesnikov,Viktor E Lopatkin

The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. They play a great role in modern mathematics. It is enough to mention the quantum groups and Hopf algebra theory, the Kac-Moody and Borcherds algebra theory, the braid groups and Hecke algebra theory, the Coxeter groups and semisimple Lie algebra theory, the plactic monoid theory. One of the main problems for such presentations is the problem of normal forms of their elements. Classical examples of such normal forms give the Poincaré-Birkhoff-Witt theorem for universal enveloping algebras and Artin-Markov normal form theorem for braid groups in Burau generators.What is now called Gröbner-Shirshov bases theory is a general approach to the problem. It was created by a Russian mathematician A I Shirshov (1921-1981) for Lie algebras (explicitly) and associative algebras (implicitly) in 1962. A few years later, H Hironaka created a theory of standard bases for topological commutative algebra and B Buchberger initiated this kind of theory for commutative algebras, the Gröbner basis theory. The Shirshov paper was largely unknown outside Russia. The book covers this gap in the modern mathematical literature. Now Gröbner-Shirshov bases method has many applications both for classical algebraic structures (associative, Lie algebra, groups, semigroups) and new structures (dialgebra, pre-Lie algebra, Rota-Baxter algebra, operads). This is a general and powerful method in algebra.

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308

Publisher

World Scientific

Published Date

ISBN 10

9814619507

ISBN 13

9789814619509

Jewish Life in Belarus

The Final Decade of the Stalin Regime, 1944-1953

By: Leonid Smilovitsky

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Jewish Life in Belarus

The Final Decade of the Stalin Regime, 1944-1953

By: Leonid Smilovitsky

Jewish life in Belarus in the years after World War II was long an enigma. Officially it was held to be as being non-existent, and in the ideological atmosphere of the time research on the matter was impossible. Jewish community life had been wiped out by the Nazis, and information on its revival was suppressed by the communists. For more than half a century the truth about Jewish life during this period was sealed in inaccessible archives. The Jews of Belarus preferred to keep silent rather than expose themselves to the animosity of the authorities. Although the fate of Belarusian Jews before and during the war has now been amply studied, this book is one of the first attempts to study Jewish life in Belarus during the last decade of Stalin's rule. In addition to archival materials, the present research is based on a questionnaire submitted to former residents of Belarus in Israel, as well as information from periodicals, collections of documents, statistical reports and monographs.

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346

Publisher

Central European University Press

Published Date

ISBN 10

9633860261

ISBN 13

9789633860267

Nanosilicon

Properties, Synthesis, Applications, Methods of Analysis and Control

By: Anatoly A. Ischenko,Gennady V. Fetisov,Leonid A. Aslalnov

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Nanosilicon

Properties, Synthesis, Applications, Methods of Analysis and Control

By: Anatoly A. Ischenko,Gennady V. Fetisov,Leonid A. Aslalnov

Nanosilicon: Properties, Synthesis, Applications, Methods of Analysis and Control examines the latest developments on the physics and chemistry of nanosilicon. The book focuses on methods for producing nanosilicon, its electronic and optical properties, research methods to characterize its spectral and structural properties, and its possible applications. The first part of the book covers the basic properties of semiconductors, including causes of the size dependence of the properties, structural and electronic properties, and physical characteristics of the various forms of silicon. It presents theoretical and experimental research results as well as examples of porous silicon and quantum dots. The second part discusses the synthesis of nanosilicon, modification of the surface of nanoparticles, and properties of the resulting particles. The authors give special attention to the photoluminescence of silicon nanoparticles. The third part describes methods used for studying and controlling the structure and properties of nanocrystalline silicon. These methods include standard ones, such as electron microscopy, spectroscopy, and diffraction, as well as novel techniques, such as femtosecond spectroscopy, ultrafast electron nanocrystallography, and dynamic transmission electron microscopy. The fourth part details some of the practical applications of nanocrystalline silicon, including the use of nanoparticles as additives–absorbers of UV radiation in sunscreens. Incorporating much of the authors’ own extensive research results, this book provides a systematic account of the scientific problems of nanosilicon and its potential practical applications. It will help readers understand current and emerging applications and research methods of this unique material.

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757

Publisher

CRC Press

Published Date

ISBN 10

1466594225

ISBN 13

9781466594227

Optimal Control of Stochastic Difference Volterra Equations

An Introduction

By: Leonid Shaikhet

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Optimal Control of Stochastic Difference Volterra Equations

An Introduction

By: Leonid Shaikhet

This book showcases a subclass of hereditary systems, that is, systems with behaviour depending not only on their current state but also on their past history; it is an introduction to the mathematical theory of optimal control for stochastic difference Volterra equations of neutral type. As such, it will be of much interest to researchers interested in modelling processes in physics, mechanics, automatic regulation, economics and finance, biology, sociology and medicine for all of which such equations are very popular tools. The text deals with problems of optimal control such as meeting given performance criteria, and stabilization, extending them to neutral stochastic difference Volterra equations. In particular, it contrasts the difference analogues of solutions to optimal control and optimal estimation problems for stochastic integral Volterra equations with optimal solutions for corresponding problems in stochastic difference Volterra equations. Optimal Control of Stochastic Difference Volterra Equations commences with an historical introduction to the emergence of this type of equation with some additional mathematical preliminaries. It then deals with the necessary conditions for optimality in the control of the equations and constructs a feedback control scheme. The approximation of stochastic quasilinear Volterra equations with quadratic performance functionals is then considered. Optimal stabilization is discussed and the filtering problem formulated. Finally, two methods of solving the optimal control problem for partly observable linear stochastic processes, also with quadratic performance functionals, are developed. Integrating the author’s own research within the context of the current state-of-the-art of research in difference equations, hereditary systems theory and optimal control, this book is addressed to specialists in mathematical optimal control theory and to graduate students in pure and applied mathematics and control engineering.

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224

Publisher

Springer

Published Date

ISBN 10

3319132393

ISBN 13

9783319132396

Materials and Strength of Gas Turbine Parts

Volume 1: Materials, Properties, Damage, Deformation and Fracture Models

By: Leonid Borisovich Getsov

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Materials and Strength of Gas Turbine Parts

Volume 1: Materials, Properties, Damage, Deformation and Fracture Models

By: Leonid Borisovich Getsov

This book discusses several mechanical and material problems that are typical for gas turbine components. It discusses accelerated tests and other methods for increasing the reliability of gas turbine engines. Special attention is given to non-traditional methods for calculating the strength characteristics and longevity of the main components. This first volume focuses on the selection of materials, deformation and destruction mechanisms in connection with stationary and non-stationary loading, and types of material damage such as the thermal fatigue. Particular attention is paid to the issues of the properties of single crystal alloys, the relationship between structure and properties, the influence of technological factors and long-term operation. The characteristics of creep resistance, crack resistance, and resistance to cyclic deformation of different alloys are given.

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469

Publisher

Springer Nature

Published Date

ISBN 10

9811605343

ISBN 13

9789811605345

Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

By: Leonid Shaikhet

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Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

By: Leonid Shaikhet

Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov Functionals and Stability of Stochastic Difference Equations, where this method is described for difference equations with discrete and continuous time. The text begins with both a description and a delineation of the peculiarities of deterministic and stochastic functional differential equations. There follows basic definitions for stability theory of stochastic hereditary systems, and the formal procedure of Lyapunov functionals construction is presented. Stability investigation is conducted for stochastic linear and nonlinear differential equations with constant and distributed delays. The proposed method is used for stability investigation of different mathematical models such as: • inverted controlled pendulum; • Nicholson's blowflies equation; • predator-prey relationships; • epidemic development; and • mathematical models that describe human behaviours related to addictions and obesity. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations is primarily addressed to experts in stability theory but will also be of interest to professionals and students in pure and computational mathematics, physics, engineering, medicine, and biology.

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352

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3319001019

ISBN 13

9783319001012

Metrology and Theory of Measurement

By: Valery A. Slaev,Anna G. Chunovkina,Leonid A. Mironovsky

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Metrology and Theory of Measurement

By: Valery A. Slaev,Anna G. Chunovkina,Leonid A. Mironovsky

Metrology is the science of measurements. As such, it deals with the problem of obtaining knowledge of physical reality through its quantifiable properties. The problems of measurement and of measurement accuracy are central to all natural and technical sciences. Now in its second edition, this monograph conveys the fundamental theory of measurement and provides some algorithms for result testing and validation.

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713

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110651319

ISBN 13

9783110651317

Draw!

The Art of the Half-Point in Chess

By: Leonid Verkhovsky

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Draw!

The Art of the Half-Point in Chess

By: Leonid Verkhovsky

The Luck of the Draw!? We have all seen games – and perhaps even played them – in which a difficult or lost game is salvaged by a brilliant drawing combination. In the early 1970s, Soviet International Master Leonid Verkhovsky collected some of the most fantastic draws ever played. You will be captivated by combinations and threats, as inexhaustible imagination in defense and attack counterbalance each other. The chess prowess of one player is basically in equilibrium with the mastery of his opponent. Both are playing for a win, both send their chess armies into close combat, and peace sets in on the chessboard when it practically becomes empty after a long and fierce battle. You will also delight at the spectacular “saving draws,” when, although in a difficult position, a player finds all possible (and impossible!) resources to make a draw. Example are drawn from the praxis of world champions and outstanding grandmasters, as well as from the games of lesser-known players. Of special interest is the research made by the author regarding stalemate, that special exception in the rules. The book is crowned with an interesting chapter in which the author addresses the drawn games of the world’s top players. “I am sure that all those who love and cherish our ancient game will appreciate this wonderful book.” – Mikhail Tal

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365

Publisher

SCB Distributors

Published Date

ISBN 10

1936490803

ISBN 13

9781936490806

Gas Migration

Events Preceding Earthquakes

By: Leonid F. Khilyuk Ph.D.,John O. Robertson Jr.,Bernard Endres,G.V. Chilingarian

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Gas Migration

Events Preceding Earthquakes

By: Leonid F. Khilyuk Ph.D.,John O. Robertson Jr.,Bernard Endres,G.V. Chilingarian

This breakthrough new book may help save countless lives and avoid enormous losses. It presents a methodology for using gas migration to predict earthquakes and explosive gas buildup. Using rigorous scientific investigation and documented worldwide case histories, this remarkable book presents compelling evidence showing that changes in gas rates, composition, and migration accompany the tectronic events preceding earthquakes and their associated seismic events, such as volcanoes and tsunamis. Because these gas parameters are detectable and measurable, they provide an early warning of seismic activity.Gas Migration is the first book to accumulate, analyze and apply the interdisciplinary knowledge on gas migration and detail its connection to tectronic, seismic, and geologic phenomena. It combines geological, geochemical, geophysical, seismological, and petroleum engineering insights to demonstrate how gas migration and its associated phenomena can be used in earthquake and environmental geohazard identification and prediction. Topics include-·Tectonics and Earthquakes·Gas Migration at Plate Boundaries·Surface Soil-Gas Surveys·Faults and Petroleum Reservoirs·Earthquake Precursors·Whispering Gases·Paths and Mechanics of Gas Migration·Subsidence, Gas Migration, and Seismic Activity·And much moreWith this information, environmental specialists, civil engineers, petroleum geologists, seismologists, and urban planners now have a new and powerful conceptual basis and tool for understanding and perhaps even predicting gas explosions and earthquakes.

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Page Count

409

Publisher

Elsevier

Published Date

ISBN 10

0080507190

ISBN 13

9780080507194

Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations

By: Leonid Berezansky,Alexander Domoshnitsky,Roman Koplatadze

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Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations

By: Leonid Berezansky,Alexander Domoshnitsky,Roman Koplatadze

Asymptotic properties of solutions such as stability/ instability,oscillation/ nonoscillation, existence of solutions with specific asymptotics, maximum principles present a classical part in the theory of higher order functional differential equations. The use of these equations in applications is one of the main reasons for the developments in this field. The control in the mechanical processes leads to mathematical models with second order delay differential equations. Stability and stabilization of second order delay equations are one of the main goals of this book. The book is based on the authors’ results in the last decade. Features: Stability, oscillatory and asymptotic properties of solutions are studied in correlation with each other. The first systematic description of stability methods based on the Bohl-Perron theorem. Simple and explicit exponential stability tests. In this book, various types of functional differential equations are considered: second and higher orders delay differential equations with measurable coefficients and delays, integro-differential equations, neutral equations, and operator equations. Oscillation/nonoscillation, existence of unbounded solutions, instability, special asymptotic behavior, positivity, exponential stability and stabilization of functional differential equations are studied. New methods for the study of exponential stability are proposed. Noted among them inlcude the W-transform (right regularization), a priory estimation of solutions, maximum principles, differential and integral inequalities, matrix inequality method, and reduction to a system of equations. The book can be used by applied mathematicians and as a basis for a course on stability of functional differential equations for graduate students.

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Page Count

615

Publisher

CRC Press

Published Date

ISBN 10

1000048551

ISBN 13

9781000048551

Hydromagnetic Waves in the Magnetosphere and the Ionosphere

By: Leonid S. Alperovich,Evgeny N. Fedorov

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Hydromagnetic Waves in the Magnetosphere and the Ionosphere

By: Leonid S. Alperovich,Evgeny N. Fedorov

Here is a fascinating text that integrates topics pertaining to all scales of the MHD-waves, emphasizing the linkages between the ULF-waves below the ionosphere on the ground and magnetospheric MHD-waves. It will be most helpful to graduate and post-graduate students, familiar with advanced calculus, who study the science of MHD-waves in the magnetosphere and ionosphere. The book deals with Ultra-Low-Frequency (ULF)-electromagnetic waves observed on the Earth and in Space.

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Page Count

437

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1402066376

ISBN 13

9781402066375

Economic Cycles, Crises, and the Global Periphery

By: Leonid Grinin,Andrey Korotayev,Arno Tausch

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Economic Cycles, Crises, and the Global Periphery

By: Leonid Grinin,Andrey Korotayev,Arno Tausch

This thought-provoking monograph analyzes long- medium- and short-term global cycles of prosperity, recession, and depression, plotting them against centuries of important world events. Major research on economic and political cycles is integrated to clarify evolving relationships between the global center and its periphery as well as current worldwide economic upheavals and potential future developments. Central to this survey are successive waves of industrial and, later, technological and cybernetic progress, leading to the current era of globalization and the changes of the roles of both Western powers and former minors players, however that will lead to the formation of the world order without a hegemon. Additionally, the authors predict what they term the Great Convergence, the lessening of inequities between the global core and the rest of the world, including the wealth gap between First and Third World nations. Among the topics in this ambitious volume: · Why politics is often omitted from economic analysis. · Why economic cycles are crucial to understanding the modern geopolitical landscape. · How the aging of the developed world will affect world technological and economic future.“/p> · The evolving technological forecast for Global North and South. · Where the U.S. is likely to stand on the future world stage. Economic Cycles, Crises, and the Global Periphery will inspire discussion and debate among sociologists, global economists, demographers, global historians, and futurologists. This expert knowledge is necessary for further research, proactive response, and preparedness for a new age of sociopolitical change.

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