منابع مشابه
Topological Criteria of Global Attraction with Applications in Population Dynamics
In this paper we derive a criterion of trivial dynamics based on the theory of translation arcs. This criterion extends and unifies some results in the literature. Applications in continuous and discrete models of population dynamics are given.
متن کاملGenericity in Topological Dynamics
For a compact metric space ∆ we consider the compact space S(∆) of shift-invariant subsystems of the full shift ∆, endowed with the Hausdorf metric.. We show that when ∆ is perfect the space S(∆) and the homeomorphism group Homeo(K) of the Cantor set (with the topology of uniform convergence) are topologically generically equivalent in the sense of Glasner and King [7], ie a dynamical property ...
متن کاملIn Topological Dynamics
We confront existing definitions of chaos with the state of the art in topological dynamics. The article does not propose any new definition of chaos but, starting from several topological properties that can be reasonably called chaotic, tries to sketch a theoretical view of chaos. Among the main ideas in this article are the distinction between overall chaos and partial chaos, and the fact th...
متن کاملTopological Dynamics
1. Dynamical embedding 1.1. Uniformly distributed sequence generators 1.2. Weak mixing relative to a partition 1.3. Construction of P-mixing transformations 1.4. Well distributed sequences 1.5. A theorem in Diophantine approximation 1.6. Disjointness in topological dynamics 1.7. Proof of Theorem 1.5.1 1.8. Quasiregular points and generic points 1.9. Normal sequences and collectives 1.10. Disjoi...
متن کاملIn Topological and C ∗ - Dynamics
We develop a systematic approach to the study of independence in topological dynamics with an emphasis on combinatorial methods. One of our principal aims is to combinatorialize the local analysis of topological entropy and related mixing properties. We also reframe our theory of dynamical independence in terms of tensor products and thereby expand its scope to C-dynamics.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1984
ISSN: 0022-0396
DOI: 10.1016/0022-0396(84)90104-9