Author : Frederic Geurts
Publisher : Springer
ISBN 13 : 3540492119
Total Pages : 283 pages
Book Rating : 4.5/5 (44 download)
Book Synopsis Abstract Compositional Analysis of Iterated Relations by : Frederic Geurts
Download or read book Abstract Compositional Analysis of Iterated Relations written by Frederic Geurts and published by Springer. This book was released on 2003-06-26 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph is an integrated study of generic systems defined by iterated relations using the two paradigms of abstraction and composition. This accommodates the complexity of some state-transition systems and improves understanding of complex or chaotic phenomena emerging in some dynamical systems. The main insights and results of this work concern a structural form of complexity obtained by composition of simple interacting systems representing opposed attracting behaviors. This complexity is expressed in the evolution of composed systems (their dynamics) and in the relations between their initial and final states (the computation they realize). The theoretical results are validated by analyzing dynamical and computational properties of low-dimensional prototypes of chaotic systems, high-dimensional spatiotemporally complex systems, and formal systems.