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Time quasilattices in dissipative dynamical systems

Abstract:

We establish the existence of 'time quasilattices' as stable trajectories in dissipative dynamical systems. These tilings of the time axis, with two unit cells of different durations, can be generated as cuts through a periodic lattice spanned by two orthogonal directions of time. We show that there are precisely two admissible time quasilattices, which we term the infinite Pell and Clapeyron words, reached by a generalization of the period-doubling cascade. Finite Pell and Clapeyron words of...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.21468/scipostphys.5.1.001

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics
Subgroup:
Theoretical Physics
Oxford college:
New College
Role:
Author
ORCID:
0000-0002-8362-1384
Publisher:
SciPost Foundation Publisher's website
Journal:
SciPost Physics Journal website
Volume:
5
Issue:
1
Pages:
Article: 001
Publication date:
2018-07-03
Acceptance date:
2018-06-15
DOI:
ISSN:
2542-4653
Pubs id:
pubs:966785
URN:
uri:274db4ef-06b4-468c-a5a8-69aa31ddcc6a
UUID:
uuid:274db4ef-06b4-468c-a5a8-69aa31ddcc6a
Local pid:
pubs:966785

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