On Nonautonomous Discrete Dynamical Systems Driven by Means
نویسنده
چکیده
We investigate the asymptotic behavior of nonautonomous discrete dynamical systems governed by the system of difference equations (recursive equations): yj(n+ 1) = Fj(n, y(n)); j = 1, . . . ,k, n = 0,1,2, . . . , where y(n) = (y1(n), . . . , yk(n)) ∈ Rk, y(0) = x, and Fj(n,·) is a mean of k (≥ 2) positive real numbers, that is, a real-valued function satisfying the internality property min(x)≤ Fj(n,x)≤ max(x).
منابع مشابه
On the shadowing property of nonautonomous discrete systems
In this paper we study shadowing property for sequences of mappings on compact metric spaces, i.e. nonautonomous discrete dynamical systems. We investigate the relation of weak contractions with shadowing and h-shadowing property.
متن کاملOn the Dynamic of a Nonautonomous
Nonlinear difference equations of higher order are important in applications; such equations appear naturally as discrete analogues of differential and delay differential equations which model various diverse phenomena in biology, ecology, economics, physics and engineering. The study of dynamical properties of such equations is of great importance in many areas. The autonomous difference equat...
متن کاملTheory of Input Driven Dynamical Systems
Most dynamic models of interest in machine learning, robotics, AI or cognitive science are nonautonomous and input-driven. In the last few years number of important innovations have occurred in mathematical research on nonautonomous systems. In understanding the long term behavior of nonautonomous systems, the notion of an attractor is fundamental. With a time varying input, it turns out that f...
متن کاملTopological Pressure of Nonautonomous Dynamical Systems ⋆
We define and study topological pressure for the non-autonomous discrete dynamical systems given by a sequence {fi} ∞ i=1 of continuous self-maps of a compact metric space. In this paper, we obtain the basic properties and the invariant with respect to equiconjugacy of topological pressure for the nonautonomous discrete dynamical systems.
متن کاملA Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps
Stable fiber bundles are the nonautonomous analog of stable manifolds and these objects provide valuable information on the underlying dynamics. We propose an algorithm for their computation that applies to a wide class of models, including noninvertible and nonautonomous discrete time systems. Precise error estimates are provided and fiber bundles are computed for several examples.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006