Computability with low-dimensional dynamical systems
نویسندگان
چکیده
منابع مشابه
Computability and dynamical systems
In this paper we explore results that establish a link between dynamical systems and computability theory (not numerical analysis). In the last few decades, computers have increasingly been used as simulation tools for gaining insight into dynamical behavior. However, due to the presence of errors inherent in such numerical simulations, with few exceptions, computers have not been used for the ...
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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 اولNonparametric forecasting of low-dimensional dynamical systems.
This paper presents a nonparametric modeling approach for forecasting stochastic dynamical systems on low-dimensional manifolds. The key idea is to represent the discrete shift maps on a smooth basis which can be obtained by the diffusion maps algorithm. In the limit of large data, this approach converges to a Galerkin projection of the semigroup solution to the underlying dynamics on a basis a...
متن کاملLow-dimensional modelling of dynamical systems
Consider briefly the equations of fluid dynamics—they describe the enormous wealth of detail in all the interacting physical elements of a fluid flow—whereas in applications we want to deal with a description of just that which is interesting. In a wide variety of situations, simple approximate models are needed to perform practical simulations and make forecasts. I review the derivation, from ...
متن کاملComputability and Dynamical Systems: a Perspective
In this paper we look at dynamical systems from a computability perspective. We survey some topics and themes of research for dynamical systems and then see how they can be fitted in a computational framework. We will recall some selected results, and enounce problems that might lay possible routes for further research.
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1994
ISSN: 0304-3975
DOI: 10.1016/0304-3975(94)90229-1