TY - JOUR
T1 - Dynamical Systems
A1 - McGivern, Patrick
PY - 2017
N2 - The term dynamical system is used in a loose sense and in a precise sense which is associated with dynamical systems theory. Any object or group of objects subject to a development in time can loosely be called a dynamical system; in this sense dynamical systems are closely associated with processes. For the more precise meaning of the term one has to distinguish – as in all cases of mathematical modeling – between (i) the (concrete) system being modeled and (ii) the (abstract) mathematical structure used to model that concrete system. Either system can be referred to as a dynamical system. A dynamical system in sense (ii) is represented by its states at given times and a rule that evolves the states to states at other times. More technically, a dynamical system (in sense (ii)) is a structure <M, ft, T>, where M is the multidimensional state or phase space of the system, ft is the evolution rule that relates the state at each time to states at other times, and T is the onedimensional space of points in time (so that t ∈ T).
JF - PCM: Philosophia Contributions – Mereology
JA - PCM: Philosophia Contributions – Mereology
VL - 1
IS - 1
UR -
ER -