منابع مشابه
observational dynamical systems
چکیده در این پایاننامه ابتدا فضاهای متریک فازی را به صورت مشاهدهگرایانه بررسی میکنیم. فضاهای متریک فازی و توپولوژی تولید شده توسط این متریک معرفی شدهاند. سپس بر اساس فضاهایی که در فصل اول معرفی شدهاند آشوب توپولوژیکی، مینیمالیتی و مجموعههای متقاطع در شیوههای مختلف بررسی شده- اند. در فصل سوم مفهوم مجموعههای جاذب فازی به عنوان یک مفهوم پایهای در سیستمهای نیم-دینامیکی نسبی، تعریف شده است. ...
15 صفحه اولjordan c-dynamical systems
in the first chapter we study the necessary background of structure of commutators of operators and show what the commutator of two operators on a separable hilbert space looks like. in the second chapter we study basic property of jb and jb-algebras, jc and jc-algebras. the purpose of this chapter is to describe derivations of reversible jc-algebras in term of derivations of b (h) which are we...
15 صفحه اولA Note on Minimal Dynamical Systems
Let G be a topological group acting continuously on an infinite compact space X. Suppose the dynamical system (X, G) is minimal, i.e., suppose that every point in X has a dense G-orbit. We show that X is coabsolute with a Cantor space if G is ω-bounded. This generalizes a theorem of Balcar and B laszczyk [1].
متن کاملThe Structure of Tame Minimal Dynamical Systems
A dynamical version of the Bourgain-Fremlin-Talagrand dichotomy shows that the enveloping semigroup of a dynamical system is either very large and contains a topological copy of βN, or it is a “tame” topological space whose topology is determined by the convergence of sequences. In the latter case the dynamical system is called tame. We use the structure theory of minimal dynamical systems to s...
متن کاملDynamical Systems Disjoint from Any Minimal System
Furstenberg showed that if two topological systems (X, T ) and (Y, S) are disjoint, then one of them, say (Y, S), is minimal. When (Y, S) is nontrivial, we prove that (X, T ) must have dense recurrent points, and there are countably many maximal transitive subsystems of (X, T ) such that their union is dense and each of them is disjoint from (Y, S). Showing that a weakly mixing system with dens...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2009
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.5803