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With an emphasis on controlled and constructive chaos, this concise primer for postgraduates skillfully leads the reader through the algorithms of chaos control, and then tackles synchronization in chaotic systems, stochastic resonance and ratchet models.
This book addresses the processes of stochastic structure formation in two-dimensional geophysical fluid dynamics based on statistical analysis of Gaussian random fields, as well as stochastic structure formation in dynamic systems with parametric excitation of positive random fields f(r,t) described by partial differential equations.
This book introduces readers to essential tools for the measurement and analysis of information loss in signal processing systems.
This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems.
This textbook aims to briefly outline the main directions in which thegeometrization of thermodynamics has been developed in the last decades. The textbook is accessible to people trained in thermal sciences but notnecessarily with solid formation in mathematics.
This self-contained text develops a Markov chain approach that makes the rigorous analysis of a class of microscopic models that specify the dynamics of complex systems at the individual level possible.
This work proposes that Carl Menger's Subjective Theory of Value (STV), and its subsequent elaboration by Ludwig von Mises as Praxeology, provides a useful alternative to more common methods in the study of action and social phenomena, and more specifically, to leadership in complex social systems.
This book offers an analytical framework based on activity theory, showing how systems thinking evolves and how it can support multidisciplinary teamwork in systems development and engineering. Explores WAVES (Work Activity for Evolution of Systems) strategy.
This book presents an analysis of the dynamics and the complexity of new product development projects which are organized according to the concept of concurrent engineering. Readers will discover diverse perspectives and mathematical models, as well as an extensive discussion of two case studies.
This book provides the reader with both a comprehensive understanding of the phenomena encountered in decision making with human facilitated ILEs and a unique way of studying the effects of these phenomena on people's ability to make better decision in complex, dynamic tasks.
This monograph set presents a consistent and self-contained framework of stochastic dynamic systems with maximal possible completeness. This approach offers a possibility of both obtaining exact solutions to stochastic problems for a number of models of fluctuating parameters and constructing various asymptotic buildings.
This self-contained presentation by leading researchers provides a coherent introduction to the residual generator method of fault detection in non-linear systems, which meets the precision requirements of real-time diagnostics in complex industrial processes.
This book discusses model building and evaluation across disciplines, by means of an exact path integral for transferring information from observations to a model of the observed system. Offers examples in geosciences, nonlinear electrical circuits and more.
Nonlinear Powerflow Control Design presents an innovative control system design process. The text compares the value of different energy resources, presents a new tool for power flow control, and examines the human factors involved with selling power into a distributed, decentralized electric power grid.
This book attempts to explain why and how humans behave much like atoms in some aspects of their collective lives. The authors then suggest ways that this knowledge could serve as the key to a dramatic leap forwards in social freedom in the real world.
This book provides serious readers with a serious scientific tool that will enable them to actually perform a competitive research in modern complex nonlinearity. It includes a comprehensive bibliography on the subject and a detailed index.
Introduction.- From lognormal to power.- The Poisson law.- Framework.- Threshold analysis.- Hazard rates.- Order statistics.- Exponent estimation.- Socioeconomic analysis.- Fractality.- Sums.- Dynamics.- Limit laws.- First digits.- Back to lognormal.- Conclusion.- Appendix.
This book deals with the science of science by applying network science methods to citation networks and uniquely presents a physics-inspired model of citation dynamics.
This book is about improving human decision making and performance in complex, dynamic tasks.
This book describes the ontology structure, types of actors, their potential actions, and ways that actions can affect the things that are part of the conflict. An ontology of unconventional conflict supports the understanding of unconventional conflict in general.
The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics.The fifteen chapters - written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks - offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering.As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.
This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering.
After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering.As with many other approaches to mathematical modeling, the first issue to be addressed is the need to couple a definition of the fractional differentiation or integration operator with the types of dynamical systems that are analyzed. As such, for the fundamentals the focus is on basic aspects of fractional calculus, in particular stability analysis, which is required to tackle synchronization in coupled fractional order systems, to understand the essence of estimators for related integer order systems, and to keep track of the interplay between synchronization and parameter observation. This serves as the common basis for the more advanced topics and applications presented in the subsequent chapters, which include an introduction to the 'Immersion and Invariance' (I&I) methodology, the masterslave synchronization scheme for partially known nonlinear fractional order systems, Fractional Algebraic Observability (FAO) and Fractional Generalized quasi-Synchronization (FGqS) to name but a few.This book is intended not only for applied mathematicians and theoretical physicists, but also for anyone in applied science dealing with complex nonlinear systems.
This book presents the latest tools, techniques, and solutions that decision makers use to overcome the challenges faced by their sustainable supply chains.
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