Golden and silver stationary points in probe particle dynamics within a modular domain

DOI10.1134/s0016266324020047zbMATH Open1548.37061MaRDI QIDQ6577149

A. Gorsky, Sergei Nechaev

Publication date: 23 July 2024

Published in: Functional Analysis and Its Applications (Search for Journal in Brave)

zbMATH Keywords

modular groupelliptic functionsphyllotaxisadiabatic dynamicsEuclidean plane tilinggolden and silver ratios

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Dedekind eta function, Dedekind sums (11F20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Flows on surfaces (37E35)

Cites Work

• Unnamed Item
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• HOMFLY polynomials of torus links as generalized Fibonacci polynomials
• Diffusion processes and their sample paths.
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• The Tammes Problem for N = 14
• Topological properties of a two-dimensional polymer chain in the lattice of obstacles
• The metallic means family and multifractal spectra
• Phyllotaxis of flux lattices in layered superconductors
• Fibonacci and Lucas Numbers With Applications
• A new proof of the limit formula of Kronecker
• On the Epstein zeta function and the zeros of a class of Dirichlet series
• Generalized devil's staircase and RG flows

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