Dynamical Systems

  • Carlo A. Furia
  • Dino Mandrioli
  • Angelo Morzenti
  • Matteo Rossi
Part of the Monographs in Theoretical Computer Science. An EATCS Series book series (EATCS)


In this chapter, we recall, though well-known examples, the main concepts and definitions concerning dynamical systems. We introduce the classic notion of state-space representation of discrete-time and of continuous-time dynamical systems, and we discuss how one can move from the latter to the former. This chapter also briefly presents cellular automata, a family of discrete-time dynamical systems than can be used to model computations. Using the dimensions presented in Chap. 3 as reference, the chapter then describes the main features of the representation of time in dynamical systems.


Cellular Automaton Dynamical System Model Explicit Function Dynamical System Theory Classical Dynamical System 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Carlo A. Furia
    • 1
  • Dino Mandrioli
    • 2
  • Angelo Morzenti
    • 2
  • Matteo Rossi
    • 2
  1. 1.Department of Computer ScienceZürichSwitzerland
  2. 2.Dipartimento di Elettronica e InformazionePolitecnico di MilanoMilanItaly

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