Table of contents
About this book
The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics.
In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems. Standard modeling approaches (based on non-linear differential equations, dynamic systems, graph theory, cellular automata, stochastic processes, or information theory) are suitable for studying local problems. However they cannot simultaneously take into account all the different facets and phenomena of a complex system, and new approaches are required to solve the challenging problem of correlations between phenomena at different levels and hierarchies, their self-organization and memory-evolutive aspects, the growth of additional structures and are ultimately required to explain why and how such complex systems can display both robustness and flexibility.
This graduate-level text also addresses a broader interdisciplinary audience, keeping the mathematical level essentially uniform throughout the book, and involving only basic elements from calculus, algebra, geometry and systems theory.
- Book Title Boundaries of a Complex World
- Series Title Springer Series in Synergetics
- Series Abbreviated Title Springer Ser.Synergetics
- DOI https://doi.org/10.1007/978-3-662-49078-5
- Copyright Information Springer-Verlag Berlin Heidelberg 2016
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Physics and Astronomy Physics and Astronomy (R0)
- Hardcover ISBN 978-3-662-49076-1
- Softcover ISBN 978-3-662-56977-1
- eBook ISBN 978-3-662-49078-5
- Series ISSN 0172-7389
- Series E-ISSN 2198-333X
- Edition Number 1
- Number of Pages XIII, 361
- Number of Illustrations 46 b/w illustrations, 112 illustrations in colour
Applications of Nonlinear Dynamics and Chaos Theory
Earth System Sciences
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