منابع مشابه
Mostly Conjugacy of Stochastically Perturbed Dynamical Systems
We study the conjugacy between two dynamical systems. We consider the case when one system is perturbed via an additive noise term. We lay down the rigorous notion of the commuter in such a setting and investigate its convergence properties. To aid our analysis we make extensive use of transfer operator methods. We also use the so called random operators from probabilistic functional analysis.
متن کاملobservational 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 اولComputation with perturbed dynamical systems
This paper analyzes the computational power of dynamical systems robust to infinitesimal perturbations. Previous work on the subject has delved on very specific types of systems. Here we obtain results for broader classes of dynamical systems (including those systems defined by Lipschitz/analytic functions). In particular we show that systems robust to infinitesimal perturbations only recognize...
متن کاملLarge Fluctuations in Stochastically Perturbed Nonlinear Systems: Applications in Computing
Nonlinear dynamical systems often display complex behavior. In this lecture I shall review the behavior of stochastically perturbed dynamical systems, which is a field of its own. I shall use this as an opportunity to discuss applications to computer science, though applications to statistical physics, chemical physics, and elsewhere in the sciences are also numerous. If a deterministic dynamic...
متن کاملStochastically Perturbed Allelopathic Phytoplankton Model
In this article we have considered a stochastic delay differential equation model for two species competitive phytoplankton system with allelopathic stimulation. We have extended the deterministic model system to a stochastic delay differential equation model system by incorporating multiplicative white noise terms in the growth equations for both species. We have studied the mean square stabil...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1974
ISSN: 0035-7596
DOI: 10.1216/rmj-1974-4-3-407