How Long to Read Collective Dynamics in Complex Networks of Noisy Phase Oscillators

How Long Does it Take to Read Collective Dynamics in Complex Networks of Noisy Phase Oscillators?

It takes the average reader 2 hours and 10 minutes to read Collective Dynamics in Complex Networks of Noisy Phase Oscillators by Bernard Sonnenschein

Assuming a reading speed of 250 words per minute. Learn more

Description

This work aims to contribute to our understanding of the effects of noise and non-uniform interactions in populations of oscillatory units. In particular, we explore the collective dynamics in various extensions of the Kuramoto model. We develop a theoretical framework to study such noisy systems and we show through many examples that indeed new insights can be gained with our method. The first step is to coarse-grain the complex networks. The oscillatory units are then characterized solely by their individual quantities, so that identical units can be grouped together. The second step consists of the ansatz that in all these groups the distributions of the oscillators' phases follow time-dependent Gaussians. We apply this analytical two-step method to oscillator networks with correlations between coupling strengths and natural frequencies, to populations with mixed positive and negative coupling strengths, and to noise-driven active rotators, which can perform excitable dynamics. We calculate the rich phase diagrams that delineate the emergent rhythms. Extensive numerical simulations are performed to show both the validity and the limitations of our theoretical results.

How long is Collective Dynamics in Complex Networks of Noisy Phase Oscillators?

Collective Dynamics in Complex Networks of Noisy Phase Oscillators by Bernard Sonnenschein is 127 pages long, and a total of 32,639 words.

This makes it 43% the length of the average book. It also has 40% more words than the average book.

How Long Does it Take to Read Collective Dynamics in Complex Networks of Noisy Phase Oscillators Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 58 minutes to read Collective Dynamics in Complex Networks of Noisy Phase Oscillators aloud.

What Reading Level is Collective Dynamics in Complex Networks of Noisy Phase Oscillators?

Collective Dynamics in Complex Networks of Noisy Phase Oscillators is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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