Authors:
- Authored by a leading researcher in the field
- Self-contained introduction to new mathematical approaches
- Contains both foundations and applications
Part of the book series: Springer Series in Synergetics (SSSYN)
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Table of contents (10 chapters)
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Front Matter
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Arts and Nonlinear Systems: ‘Nonlineart’
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Front Matter
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Mathematical Language
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Front Matter
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Applications
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Front Matter
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Back Matter
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.
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Authors and Affiliations
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Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, USA
Andrei Ludu
Bibliographic Information
Book Title: Boundaries of a Complex World
Authors: Andrei Ludu
Series Title: Springer Series in Synergetics
DOI: https://doi.org/10.1007/978-3-662-49078-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2016
Softcover ISBN: 978-3-662-56977-1Published: 25 April 2018
eBook ISBN: 978-3-662-49078-5Published: 23 March 2016
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
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Complex Systems, Complexity, Systems Biology, Theoretical Ecology/Statistics, Earth System Sciences