Structural, dynamical and symbolic observability: From dynamical systems to networks

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. ...

jordan 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...

Generic Observability of Dynamical Systems

Received: January 18, 2005 Revised: July 3, 2007 Communicated by Ulf Rehmann Abstract. We deal with a ertain observation mapping de ned by means of weighted measurments on a dynami al system and give ne essary and su ient onditions, under whi h this mapping is generially an inje tive immersion. 2000 Mathemati s Subje t Classi ation: 93B07, 37C20, 37C10, 94A20.

Symbolic and Algebraic Dynamical Systems

Knot Invariants from Symbolic Dynamical Systems

If G is the group of an oriented knot k, then the set Hom(K,Σ) of representations of the commutator subgroup K = [G,G] into any finite group Σ has the structure of a shift of finite type ΦΣ, a special type of dynamical system completely described by a finite directed graph. Invariants of ΦΣ, such as its topological entropy or the number of its periodic points of a given period, determine invari...