Questions tagged [quasi-periodic]

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Spectral unfolding for Aubry-Andre model

While I was studying on random matrix theory recently, I have tried to unfold the spectrum of Aubry-Andre model. If the amplitude $\lambda$ of quasiperiodic onsite potential is less than 2, then it is ...
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What is quasi-periodic motion? [closed]

I'm currently 2nd year physics student (undergraduate). I have seminar which theme is double pendulum. I'm having trouble understanding quasi-periodic motion in general and more importantly in context ...
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Why do you consider only nearest neighbours for quasicrystals when projecting from superspace?

I'm doing some self studying on quasicrystals and I'm trying to understand the concept of superspace. From what I understand is that quasicrystals often (always?) can be constructed by considering a ...
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Minimal dynamical system with quasiperiodic oscillations

What is a minimal, explicit dynamical system (as in, a series of coupled ordinary differential equations) that exhibits quasiperiodic oscillations for some region of parameter space? Two coupled Van ...
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Estimate of the period of noisy "event counting" data

I have a set of experimental data, which come from a periodical event. More specifically, these are detections from a single photon detector, so there is no intensity, I only have the timestamps of ...
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Are quasicrystals always self-similar?

The diffraction patterns of quasicrystals very often display self-similarity ie. similarity under length scaling, thus relating them to fractals. My question is: Do they always display self-...
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Quasiperiodicity of the Fibonacci chain

I am interested in finding an intuitive way to show that the Fibonacci chain is quasiperiodic (and not simply random). Or put differently, how can I tell from just looking at a given chain whether or ...
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Quasiperiodic dynamics of a System

i understand that, periodic behavior is defined as recurring at regular intervals. Does quasiperiodic mean, that the interval is shifted. If yes, is this shift well defined?
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Symmetry of spectrum of tight binding model with quasiperiodic potential

In the Aubry-André model, a tight binding model with nearest neighor hopping and a cosine-like potential $\lambda_n = \lambda \cos(2\pi \beta n)$ (where $n$ is the lattice site, $\lambda$ is the ...
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Why the Lorenz system can't have quasi-periodic trajectories?

The nonlinear dynamics book by Hilborn gives the following argument about the famous Lorenz system: Let $\vec f$ represent the set of time evolution functions for the system. If we consider a set ...
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