Number theoretical peculiarities in the dimension theory of dynamical systems
J\"org Neunh\"auserer
TL;DR
This paper explores how number theoretical peculiarities of certain parameters can significantly alter the dimensional properties of dynamical systems, revealing deep connections between number theory and dynamical behavior.
Contribution
It introduces the impact of number theoretical peculiarities on the dimension theory of dynamical systems, highlighting a novel intersection between these fields.
Findings
Dimensional properties vary with specific parameter values.
Number theoretical peculiarities can cause significant changes in system dimensions.
The study uncovers new links between number theory and dynamical systems.
Abstract
We show that dimensional theoretical properties of dynamical systems can considerably change because of number theoretical peculiarities of some parameter values
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Taxonomy
TopicsMathematical Dynamics and Fractals · Chaos control and synchronization · Quantum chaos and dynamical systems