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#dynamics

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New paper, just out.

Often, in real-world situations, one does not know the full structure of a network. However, at the same time, one can often observe some interactions that take place on it, and may be interested in knowing its full structure. For example, one may be detecting some partial criminal activity and may want to determine the whole organization. We consider higher-order networks, which are structures with many-body interactions, and specifically simplicial complexes, and show that one can reconstruct a whole network almost perfectly simply by observing the transient of the dynamics that takes place on it. In fact, we give 3 different algorithms to do it, with different complexities and accuracies, so you can choose which one suits you best.

An Article in the Annual Review of Condensed Matter Physics on Turbulence by KR Sreenivasan and J Schumacher
annualreviews.org/content/jour

What is the turbulence problem, and when can we say it’s solved? 🌪️ This deep dive by Sreenivasan & Schumacher explores the math, physics, and engineering challenges of turbulence—from Navier-Stokes equations to intermittency and beyond. A must-read for anyone fascinated by chaos, complexity, and the unsolved mysteries of fluid dynamics! 🌀

A summary of the talk presented by KR Sreenivasan in December 2023 at the International Center for Theoretical Sciences (ICTS-TIFR) in Bengaluru, as part of a program on field theory and turbulence.
youtube.com/watch?v=fwVSBYh-KC

"Field Theory and Turbulence" program link: icts.res.in/discussion-meeting

#FluidDynamics #Physics #NavierStokes #UnsolvedMystery #Mechanics #Dynamics #FluidMechanics #Science #Chaos #TurbulentMotion #Randomness #Chaotic #Fluid #ClassicalMechanics
#Turbulence

Replied to Khurram Wadee ✅

For the five cases here, the integrals can be calculated exactly, although they turn out to be piecewise functions.
The equivalent dynamic response curves now look somewhat complicated and are here.

It is difficult to explain the meaning of these curves to someone who is unfamiliar and it took me a while to figure out what they related to. Even then, explaining them to others is equally challenging.

Replied to Khurram Wadee ✅

The #DynamicResponse for periodic loading is quite widely known and looks like this, where beta is the ratio of the forcing to natural frequencies and xi is damping ratio.

When the two frequencies are close (beta is around 1) then you can get resonance occuring and this can be hazardous as the dynamic deflections are so much larger than their static equivalents. Fmax is termed the #DynamicMagnificationFactor.
(Continues...)