Deterministic diffusion in dynamical systems with a tiled phase space
Irina Nizhnik
TL;DR
This paper proves the existence of normal deterministic diffusion in certain two-dimensional dynamical systems with phase spaces tiled by regular polygons, expanding understanding of diffusion in structured dynamical environments.
Contribution
It establishes the existence of deterministic diffusion in systems with phase spaces tiled by regular triangles or hexagons, a novel geometric setting.
Findings
Normal deterministic diffusion exists in these systems.
Diffusion occurs in phase spaces tiled by regular polygons.
Theoretical proof provided for the diffusion phenomenon.
Abstract
The existence of normal deterministic diffusion in dynamical systems with a two-dimensional phase space tiled by regular triangles (or their unions into regular hexagons) is proven.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models