… dynamical systems that is motivated by the generic structure of simulations. The systems …
F i in the order given by π one obtains the sequential dynamical system (SDS): [ F Y ,π]= ∏ i…

… Thus the cofactors a}, are symmetric in i and j, whence it follows that the elements ai; are
symmetric also, ie we must have 114; = aji for all values of i and j. III. For a family of similar …

… To avoid having to define basic terminology in four different cases, we write the elements of
a dynamical system as ft, where t ranges over Z, No, R, or R↓, as appropriate. For x Є X, we …

… the mathematics from the nonlinear dynamical systems theory and numerical simulations. …
The purpose is to exhibit the diversity in the paths and to bring some elements—which were …

… equations, the discrete-time dynamics are characterized by ordinary difference equations,
and the interface elements consist of sampling elements and sampling and hold elements. …

… Thus, once each of the elements of the vector of state variables is at its steady-state level, …
transformation of this dynamical system into a new dynamical system of independent state …

Modern dynamical systems research, the study of the evolution in time of the solutions of
differential equations, has led to powerful observational tools for the experimentalist. In …

… elements in a set U which we will call the universum. … Kepler’s laws provide a beautiful
example of a dynamical system … to set up a language for dynamical systems. There have been the …

… In an attempt to predict the long-term behavior of dynamical systems we encounter several
… We will consider dynamical systems whose state is described by an element u = u(t) of a …

… the linear dynamical system which generated it? We propose to call any such system a …
of the one-column matrix is nonzero; by a trivial transformation, all of these elements can be …