Results 11 to 20 of about 9,128,034 (234)

Aspects of Aperiodic Order [PDF]

, 2023
The theory of aperiodic order expanded and developed significantly since the discovery of quasicrystals, and continues to bring many mathematical disciplines together. The focus of this workshop was on harmonic analysis and spectral theory, dynamical systems and group actions, Schrödinger operators, and their roles in aperiodic order - with links into ...
core   +4 more sources

Compressive behaviour of cellular structures with aperiodic order

Results in Materials, 2022
Cellular structures are commonplace in engineering applications, such as aerospace and medical engineering, because material-air composites offer significant mechanical benefits, for example due to improved weight-to-strength ratio.
R.J. Moat, E. Muyupa, C. Imediegwu, D.J. Clarke, I. Jowers, U.G. Grimm   +5 more
doaj   +3 more sources

Aspects of Aperiodic Order

Oberwolfach Reports, 2023
The theory of aperiodic order expanded and developed significantly since the discovery of quasicrystals, and continues to bring many mathematical disciplines together. The focus of this workshop was on harmonic analysis and spectral theory, dynamical systems and group actions, Schrödinger operators, and their roles in aperiodic order – with links into ...
Michael Baake, María Isabel Cortez, David Damanik, Nicolae Strungaru   +3 more
openaire   +2 more sources

Mechanical characterisation of novel aperiodic lattice structures

Materials & Design, 2023
This paper compares the mechanical properties of a class of lattice metamaterials with aesthetically-pleasing patterns that are governed by the mathematics of aperiodic order.
Chikwesiri Imediegwu, Daniel Clarke, Francesca Carter, Uwe Grimm, Iestyn Jowers, Richard Moat   +5 more
doaj   +3 more sources

Aperiodic Order

, 2017
Order phenomena are ubiquitous in nature. Yet there is no obvious way to define what precisely constitutes order, nor do we know what manifestations of order may exist.
Grimm, Uwe
core   +3 more sources

Aperiodic Order and Singular Spectra

, 2022
This work focuses on several models of aperiodic order and their applications in different areas of mathematics and mathematical physics. After a short introduction to the theory of dynamicals systems, we present random substitutions as a stochastic variant of substitutions which create symbolic dynamical systems that combine long-range order with a ...
Gohlke, Philipp
openaire   +3 more sources

The influence of nonlinear resonance on human cortical oscillations [PDF]

Communications Biology
Whether macroscale brain signals reflect linear or nonlinear organization remains poorly characterized. This distinction matters for modeling neural dynamics and interpreting oscillatory biomarkers of cognition and disease.
Ying Wang, Min Li, Ronaldo García Reyes, Maria L. Bringas-Vega, Ludovico Minati, Michael Breakspear, Pedro A. Valdes-Sosa   +6 more
doaj   +2 more sources

Edge modes of scattering chains with aperiodic order

Optics Letters, 2018
4 pages, 4 ...
Wang, Ren, Rontgen, Malte, Morfonios, Christian V., Pinheiro, Felipe A., Schmelcher, Peter, Negro, Luca Dal   +5 more
openaire   +4 more sources

Aperiodic Order and Spectral Properties [PDF]

, 2017
Periodic structures like a typical tiled kitchen floor or the arrangement of carbon atoms in a diamond crystal certainly possess a high degree of order. But what is order without periodicity? In this snapshot, we are going to explore highly ordered structures that are substantially nonperiodic, or aperiodic.
Baake, Michael, Damanik, David, Grimm, Uwe   +2 more
openaire   +2 more sources

Highly symmetric aperiodic structures -INVITED [PDF]

EPJ Web of Conferences, 2021
The symmetries of periodic structures are severely constrained by the crystallographic restriction. In particular, in two and three spatial dimensions, only rotational axes of order 1, 2, 3, 4 or 6 are possible.
Grimm Uwe
doaj   +1 more source