Covering relations for multidimensional dynamical systems

نویسندگان

  • Piotr Zgliczyński
  • Marian Gidea
چکیده

We present a topological technique for analyzing dynamical systems with complex behavior, based on the general notion of covering relations. Our method can be used to study multidimensional dynamical systems with an arbitrary number of ‘topologically’ expanding directions.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Notion of Fuzzy Shadowing Property

This paper is concerned with the study of fuzzy dynamical systems. Let (XM ) be a fuzzy metric space in the sense of George and Veeramani. A fuzzy discrete dynamical system is given by any fuzzy continuous self-map dened on X. We introduce the various fuzzy shad- owing and fuzzy topological transitivity on a fuzzy discrete dynamical systems. Some relations between this notions have been proved.

متن کامل

ar X iv : a st ro - p h / 01 12 13 3 v 1 6 D ec 2 00 1 Galaxy merging and the Fundamental Plane of elliptical galaxies

We present preliminary results of numerical simulations of dissipationless merging of stellar systems, aimed at exploring the consequences of merging between gas free, spheroidal systems. In particular, we study the dynamical and structural characteristics of hierarchical merging between equal mass stellar systems, and we compare the properties of the end-products with the most important struct...

متن کامل

The Multilevel Multidimensional Networks of Complex Urban Systems

Urban systems have many heterogeneous sets and many heterogeneous relations between them. Network theory has been very successful in analysing binary relations and related dynamics and flows. Urban systems are also characterised by higher level relations between many elements, leading to a multidimensional generalisation of network theory. Many dynamic system properties are dependent on the und...

متن کامل

Existence of Periodic Solutions of the FitzHugh-Nagumo Equations for an Explicit Range of the Small Parameter

The FitzHugh–Nagumo model describing propagation of nerve impulses in axons is given by fast-slow reaction-diffusion equations, with dependence on a parameter representing the ratio of time scales. It is well known that for all sufficiently small > 0 the system possesses a periodic traveling wave. With the help of computer-assisted rigorous computations, we prove the existence of this periodic ...

متن کامل

Scaling relations in dynamical evolution of star clusters

We have carried out a series of small scale collisional N-body calculations of single-mass star clusters to investigate the dependence of the lifetime of star clusters on their initial parameters. Our models move through an external galaxy potential with a logarithmic density profile and they are limited by a cut-off radius. In order to find scaling relations between the lifetime of star cluste...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004