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Deterministic Dynamical Systems

Authors :
Peter Müller
Source :
Handbook of Dynamics and Probability ISBN: 9783030884857
Publication Year :
2021
Publisher :
Springer International Publishing, 2021.

Abstract

In this chapter, we first give the general and abstract definition of a deterministic dynamical system. This definition has as its basic ingredients a state space whose points characterize the state of the system and a family of maps that determines the time evolution of states according to a dynamical law. The state space is comprised of the minimal set of variables that determines all properties of interest. To qualify as a dynamical system the family of maps must satisfy a composition rule to conform with the additive structure of time.

Details

ISBN :
978-3-030-88485-7
ISBNs :
9783030884857
Database :
OpenAIRE
Journal :
Handbook of Dynamics and Probability ISBN: 9783030884857
Accession number :
edsair.doi...........35ee3ffcef904e0ba0e0d05ba21e16c3