However, it has been well reported in the last few decades that most of the dynamical systems
are deterministic nonlinear in nature and their solutions can be statistically random as that of the outcomes of tossing an unbiased coin (i.e., head or tail) .
Given dynamical system
f : S [right arrow] S, S [subset] R, the iterations of the function f are the composition of a function with itself.
Consider the following three-dimensional dynamical system
Reconstructed image pixels were obtained by using the initial value problem of differential equations describing the dynamical system
, for example, a continuous-time image reconstruction (CIR) system.
Valverde, "Graph dynamical systems
with general Boolean states," Applied Mathematics & Information Sciences, vol.
. Let [sigma] [member of] [S.sub.n], and X = [n].
Below we present some results on the existence of compact global attractors of quasi-linear dynamical systems
Singer, "Poincare-like simple cell mapping for non-linear dynamical systems
" Journal of Sound and Vibration, vol.
There are, in fact, two different dynamical systems
, one for each sign combination inside right-hand side function.
We took the help of dynamical systems
method, namely, recurrence quantification analysis (RQA), to capture the underlying dynamical structure of both markets.
In recent decades, a number of new types of synchronization have appeared, and the four basic synchronizations of dynamical systems
are identical synchronization, generalized synchronization, phase synchronization, and anticipated and lag synchronization and amplitude envelope synchronization.