One of the major contemporary challenges in both physical and social sciences ...One of the major contemporary challenges in both physical and social sciences is modeling analyzing and understanding the self-organization evolution behavior and eventual decay of complex dynamical systems ranging from cell assemblies to the human...more
This book presents fundamental theory methods and practical applications of gr...This book presents fundamental theory methods and practical applications of grey systems theory absorbing recent theoretical and applied advances and vividly presenting the overall picture of this new theory and its frontal research activities.more
The ?eld of applied nonlinear dynamics has attracted scientists and engineers ...The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population...more
This monograph is devoted to a new approach to an old field of scientific inve...This monograph is devoted to a new approach to an old field of scientific investigation freeway traffic research. Freeway traffic is an extremely complex spatiotemporal nonlinear dynamic process. For this reason it is not surprising that empirical...more
Adding one and one makes two usually. But sometimes things add up to more than...Adding one and one makes two usually. But sometimes things add up to more than the sum of their parts. This observation now frequently expressed in the maxim more is different is one of the characteristic features of complex systems and in...more
This monograph set presents a consistent and self-contained framework of stoch...This monograph set presents a consistent and self-contained framework of stochastic dynamic systems with maximal possible completeness. Volume 1 presents the basic concepts exact results and asymptotic approximations of the theory of stochastic...more
In recent years scientists have applied the principles of complexsystems scie...In recent years scientists have applied the principles of complex systems science to increasingly diverse fields. The results have been nothing short of remarkable: their novel approaches have provided answers to long-standing questions in biology...more
Recent advances in science and technology have led to a rapid increase in the ...Recent advances in science and technology have led to a rapid increase in the complexity of most engineered systems. In many notable cases this change has been a qualitative one rather than merely one of magnitude. A new class of Complex Engineered...more
This book focuses on a central question in the field of complexsystems: Given...This book focuses on a central question in the field of complex systems: Given a fluctuating (in time or space) uni- or multi-variant sequentially measured set of experimental data (even noisy data) how should one analyse non-parametrically the data...more
One common characteristics of a complex system is its ability to withstand maj...One common characteristics of a complex system is its ability to withstand major disturbances and the capacity to rebuild itself. Understanding how such systems demonstrate resilience by absorbing or recovering from major external perturbations...more
Complexity science has been a source of new insight in physical and social sys...Complexity science has been a source of new insight in physical and social systems and has demonstrated that unpredictability and surprise are fundamental aspects of the world around us. This book is the outcome of a discussion meeting of leading...more
Deeply rooted in fundamental research in Mathematics and Computer Science Cell...Deeply rooted in fundamental research in Mathematics and Computer Science Cellular Automata (CA) are recognized as an intuitive modeling paradigm for Complex Systems. Already very basic CA with extremely simple micro dynamics such as the Game of...more
The open access book covers a large class of nonlinear systems with many pract...The open access book covers a large class of nonlinear systems with many practical engineering applications. The approach is based on the extension of linear systems theory using the Volterra series. In contrast to the few existing treatments our...more
Presents a unified view of nonlinear properties in several models from differe...Presents a unified view of nonlinear properties in several models from different scientific fields Includes a review of the theoretical state of the art in the study of dynamical systems Analyzes several currently topical issues in nonlinear science...more