Dynamical Units

Dynamical Systems Arising from Units in Krull Rings

To a countable Krull ring R and collection of units ξ1, . . . , ξd ∈ R we associate a Zd–action by automorphisms of the compact abelian group X = R̂. We aim to generalize the framework of an ‘S–integer’ dynamical system as described by Chothi, Everest and Ward. We examine the extent to which some of their results extend to Zd–actions (d ≥ 2) and investigate the relationship between algebraic pro...

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...

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. ...

Scaling Properties in Large Assemblies of Simple Dynamical Units Driven by Long-Wave Random Forcing

Synchronizability of Stochastic Network Ensembles in a Model of Interacting Dynamical Units

Synchronization is an important phenomenon which occurs in the dynamics of complex systems. Synchronized states emerge both from an adjustment of the system parameters and from an application of a proper external stimulus. In the present paper we study synchronized activity in a neural network model whose dynamics is driven by an external activation. In this context we are interested in its syn...