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Abstract Compositional Analysis of Iterated Relations
Frederic Geurts
其他書名
A Structural Approach to Complex State Transition Systems
出版
Springer
, 2003-06-26
主題
Computers / Machine Theory
Computers / Programming / General
Computers / Artificial Intelligence / Expert Systems
Computers / Software Development & Engineering / General
Computers / Computer Science
Computers / Information Technology
ISBN
3540492119
9783540492115
URL
http://books.google.com.hk/books?id=0VurCAAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.