Quasiperiodic granular chains and Hofstadter butterflies

DOI10.1098/rsta.2017.0139zbMath1404.70056arXiv1801.09860OpenAlexW2786771202WikidataQ90425722 ScholiaQ90425722MaRDI QIDQ4561786

Mason A. Porter, Alejandro J. Martínez, Panayotis G. Kevrekidis

Publication date: 13 December 2018

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09860

zbMATH Keywords

quasiperiodicitylocalizationcondensed-matter physicsgranular chainsHofstadter butterflynonlinear lattice systems

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43)

Related Items (4)

Bloch wave homogenisation of quasiperiodic media ⋮ Introduction to a topical issue ‘nonlinear energy transfer in dynamical and acoustical Systems' ⋮ Nanoptera in nonlinear woodpile chains with zero precompression ⋮ Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains

Uses Software

• DLMF

Cites Work

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• Breathers in oscillator chains with Hertzian interactions
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• Strongly nonlinear waves in locally resonant granular chains
• NONLINEAR WAVES IN NEWTON'S CRADLE AND THE DISCRETE p-SCHRÖDINGER EQUATION
• Nonlinear lattice waves in heterogeneous media
• Topics on the Nonlinear Dynamics and Acoustics of Ordered Granular Media
• Energy spreading in strongly nonlinear disordered lattices
• Traveling waves and their tails in locally resonant granular systems

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