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Titlebook: Abstract Compositional Analysis of Iterated Relations; A Structural Approac Frédéric Geurts Book 1998 Springer-Verlag Berlin Heidelberg 199

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Art: The Economic Point of ViewDiscrete-time dynamical systems are generally continuous functions defined on appropriate compact metric spaces. Their dynamics can be defined by successive iterations from any set of initial states, or as the set of all possible trajectories systems can follow.
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Kimberly D. Fraser,Janelle OstbyIn this chapter, we systematically analyze dynamical properties, namely invariance and attraction, of composed systems in terms of similar individual properties of their components.
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https://doi.org/10.1007/978-981-13-8004-4This chapter is devoted to four case studies in the compositional analysis of dynamical properties. The first three studies are classical prototypes of complex systems: Smale horseshoe map, Cantor relation, logistic map. The last one is a well-known formal system generating paperfolding sequences.
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Richard G. Whitbread,Bo-Wah LeungIn this monograph, we developed a compositional analysis of dynamical and computational properties of iterated relations, i.e. discrete-time relational dynamical systems, and we used it, together with abstraction, to analyze a number of typical systems.
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Arts Education and Cultural Diversitys [314]. Moreover, from the computational viewpoint, they are universal, that is, as powerful as Turing machines and, thus, classical Von Neumann architectures (see Chap. 9). This motivates our choice to study these highly stuctured systems in more details; we concentrate on two aspects.
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Epilogue: Conclusions and Directions for Future Work978-3-030-31559-7
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