This paper introduces a new formulation of dynamic systems that subsumes both the classical discrete snd differential equation models as well as current trends in hybrid models. The key idea is to express the system dynamics using symbols to which the notion of time is explicitly attached. The state of the system is described using symbols which are active for a defined period of time. The system dynamics is then represented as relations between the symbolic representations . We describe the notation and give several examples of its use. (Also cross-referenced as UMIACS-TR-95-15
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In cognitive science, the dynamical systems theory (DST) has recently been advocated as an approach ...
A system is something having parts that may be perceived as a single entity. A dynamical system is o...
AbstractThe paper deals with the foundations of the theory of discrete time systems, and the relatio...
We consider piecewise defined differential dynamical systems which can be analysed through symbolic ...
A notation for dynamics of discrete systems is presented. The notation is based on an idea of static...
It’s an introduction to a big field in applied math: dynamical sys- tems, a name given to a range of...
Abstract — Systems theory has almost a century of existence. The rapidly expanding research developm...
Symbolic dynamics is a powerful tool in the study of dynamical systems. The purpose of symbolic dyna...
we explore in multiregime dynamics the implications of the mathematical theory of symbolic dynamics,...
What is a dynamical system? In simple terms, it is a means to describe the temporal unfolding of a s...
We present a new concept for a system network to represent systems that are able to undergo structur...
The paper presents an original formulation of discrete-event dynamic systems (DEDS) strictly consist...
In this article we present some applications of symbolic dynamics in the eld of dynamic systems by t...
Dynamic equilibrium models are specified to track time series with unit root-like behavior. Thus, un...
This innovative monograph explores a new mathematical formalism in higher-order temporal logic for p...
In cognitive science, the dynamical systems theory (DST) has recently been advocated as an approach ...
A system is something having parts that may be perceived as a single entity. A dynamical system is o...
AbstractThe paper deals with the foundations of the theory of discrete time systems, and the relatio...