# gst: protected chaos in a topological lattice.

<< The erratic nature of chaotic behavior is thought to erode the stability of periodic behavior, including topological oscillations. However, (AA) discover that in the presence of chaos, non-trivial topology not only endures but also provides robust protection to chaotic dynamics within a topological lattice hosting non-linear oscillators. >>

<< Despite the difficulty in defining topological invariants in non-linear settings, non-trivial topological robustness still persists in the parametric state of chaotic boundary oscillations. (AA) demonstrate this interplay between chaos and topology by incorporating chaotic Chua's circuits into a topological Su-Schrieffer-Heeger (SSH) circuit. >>

<< By extrapolating from the linear limit to deep into the non-linear regime, (AA) find that distinctive correlations in the bulk and edge scroll dynamics effectively capture the topological origin of the protected chaos. (Their)  findings suggest that topologically protected chaos can be robustly achieved across a broad spectrum of periodically-driven systems, thereby offering new avenues for the design of resilient and adaptable non-linear networks. >>️

Haydar Sahin, Hakan Akgün, et al. Protected chaos in a topological lattice. arXiv: 2411.07522v1 [cond-mat.mes-hall]. Nov 12, 2024.

https://arxiv.org/abs/2411.07522

Also: chaos, random, instability, transition, network, ai (artificial intell), in https://www.inkgmr.net/kwrds.html 

Keywords: gst, chaos, random,  instability, transition, network, AI, Artificial Intelligence

# gst: when volatile droplets dance across a surface erratically (along random trajectories)

<< When a drop of a volatile liquid is deposited on a uniformly heated wettable, thermally conducting substrate, one expects to see it spread into a thin film and evaporate. >>️

<< Contrary to this intuition, due to thermal Marangoni contraction, the deposited drop contracts into a spherical-cap-shaped puddle, with a finite apparent contact angle. Strikingly, this contracted droplet, above a threshold temperature, well below the boiling point of the liquid, starts to spontaneously move on the substrate in an apparently erratic way. >>️

Pallav Kant, Mathieu Souzy, et al. Autothermotaxis of volatile drops. Phys. Rev. Fluids 9, L012001. Jan 31, 2024. 

https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.9.L012001

Rachel Berkowitz. Hot Surfaces Make Droplets Move Erratically. Physics 17, s14. Jan 31, 2024. 

https://physics.aps.org/articles/v17/s14 

Also: drop, bubble, erratic

in https://www.inkgmr.net/kwrds.html

Keywords: gst, drop, bubble, erratic, thermotaxis, autothermotaxis

# life: declining towards turbulence, thus ecstatic (detotuthec)

(1/3) for our birthdays on July 11th (*1th) and July 25th (*9th) ... forever Nomads (*), curious, young.  

https://www.inkgmr.net   https://www.inkgmr.net/tammi

@flashontrack  11:36 11lug21

https://twitter.com/flashontrack/status/1414156586889748482

(2/3) (*) e.g. exotic, maverick, agnostic,  track seeker, meta-mechanic pulsating manipulator, ockhamistic, erratic, chaotic, #detotuthec (declining towards turbulence, thus ecstatic), ab-normal ...

@flashontrack 11:37 11lug21

https://twitter.com/flashontrack/status/1414156987240173569

(3/3) with mindfulness, compassion and tenacity, where also vengeance consists in (try) saving others (whatever 'others' means).

@flashontrack 11:38 11lug21

https://twitter.com/flashontrack/status/1414157124318507008

Keywords: detotutech, detect thou

# gst: apropos of transitions, erratic, bursty growth processes in cellular sprawl

<< A new “bursty growth” model for organelles—internal components of biological cells—helps explain observed size fluctuations. >>

<< Biologists have identified within cells many specialized structures called organelles that carry out crucial tasks, but how cells regulate the size and the number of organelles has remained a puzzle. Now, using simulations backed by experiments, biophysicists have demonstrated that cells appear to produce organelles through a seemingly erratic, or “bursty,” growth process, which enables them to control average organelle sizes and numbers while also constraining organelle size variations within any cell. The work helps to build up a more fundamental understanding of the mechanisms of cellular function. >>️

<< We wondered if organelle growth, far from being an orderly ‘brick-by-brick’ assembly, might occur in more random bursts,  (..) The burst model can thus explain how cells balance organelle sizes and numbers while also keeping size fluctuations within a narrow window, >> Shankar Mukherji.

<< This “universal” behavior suggests that the burst mechanism underlies all organelle growth, despite the fact that each organelle has a unique building process. >>️

️

Mark Buchanan. Organelle Building Codes. Physics 16, 3. Jan 6, 2023. 

https://physics.aps.org/articles/v16/3

Kiandokht Panjtan Amiri, Asa Kalish, Shankar Mukherji. Robustness and Universality in Organelle Size Control. Phys. Rev. Lett. 130, 018401. Jan 6,  2023. 

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.130.018401

Also

keyword 'growth' in FonT

https://flashontrack.blogspot.com/search?q=growth

keyword 'erratico' | 'erratica' in Notes

(quasi-stochastic poetry)

https://inkpi.blogspot.com/search?q=erratico

https://inkpi.blogspot.com/search?q=erratica

keyword 'erratic' in FonT

https://flashontrack.blogspot.com/search?q=erratic

Keywords: gst, cell, cell assembly, growth, erratic growth, transition

# life: apropos of transitions, here is an erratic Creature that slightly fluctuates ...

Here is an erratic Creature 

that slightly fluctuates with quasi-stochastic movements in the natural scenario where everything is full of unpredictability;

what is the Creature looking for?

Perhaps a house, perhaps a vision, a perspective, a spark, a glimmer at least, that helps it to face the unstoppable becoming, anzicheforse ...

the Creature ...

https://twitter.com/DepthsBeIow/status/1574236829393436673  

cit Erica Snyder, The Download, MIT Tech Rev, Sept 9, 2022. << Watching this ribbon eel swim is mesmerizing. >>️

https://mailchi.mp/technologyreview.com/r1l7loxqcy

Also

keyword 'erratico' | 'erratica' in Notes

(quasi-stochastic poetry)

https://inkpi.blogspot.com/search?q=erratico

https://inkpi.blogspot.com/search?q=erratica

keyword 'erratic' in FonT

https://flashontrack.blogspot.com/search?q=erratic

keyword 'transition' | 'transitional' in FonT

https://flashontrack.blogspot.com/search?q=transition

https://flashontrack.blogspot.com/search?q=transitional

keyword 'transition' | 'transizion*' in Notes (quasi-stochastic poetry)

https://inkpi.blogspot.com/search?q=transition

https://inkpi.blogspot.com/search?q=transizione

https://inkpi.blogspot.com/search?q=transizioni

Keywords: life, transition, erratics, erratic creature

# gst: apropos of apparent erratic dynamics, the self-organization of drops bouncing on a vertically-vibrated surface

<< A drop bouncing on a vertically-vibrated surface may self-propel forward by Faraday waves and travels along a fluid interface. >>

<< A fine anal­ysis of the pairwise density function shows that while being dynamic, time-evolving and presenting many in­dications of a good mixing in the phase space, the sys­tem adopts in average preferred distances which origin has been rationalized by analysing the internal symme­try of the waves. Thus (AA) have shed light numerically on a statistical many-body wave self-organisation in an apparent erratic dynamics. >>

Adrien Hélias, Matthieu Labousse. Statistical self-organization of walking drops. arXiv:2201.07689v1 [cond-mat.soft]. Jan 19, 2022.

https://arxiv.org/abs/2201.07689

Also

keyword 'drop' | 'droplet' in FonT

https://flashontrack.blogspot.com/search?q=drop

https://flashontrack.blogspot.com/search?q=droplet

keyword 'goccia' in Notes (quasi-stochastic poetry): 

https://inkpi.blogspot.com/search?q=goccia

keywords: gst, drops, self-organization, erratic dynamics, erraticity

# gst: when randomly-timed external impulses can synchronize

<< Random perturbations applied in tandem to an ensemble of objects can synchronize their motion. (AA) study multiple copies of an object in periodic motion such as a firing neuron, each with an arbitrary phase. Randomly-timed external impulses can synchronize these phases. For impulses slightly too strong to synchronize, (they) find remarkable erratic synchronization, with stochastic fluctuations from near-perfect to more random synchronization. The sampled entropies of these phase distributions themselves form a steady-state ensemble. A stochastic dynamics model for the entropy's evolution accounts for the observed exponential distribution of entropies and the stochastic synchronization. >>

<< One general virtue of noise-induced synchronization is that one may use it to induce synchronization without

specific knowledge about the limit cycle being synchronized, such as the phase map function or the cycle time.(..) As noted in the Introduction, synchronization of a remote oscillator enables transmission of information.

Stochastic synchronization appears to have comparable ability, potentially useable by technology or biology. >>️

<< The stochastic synchronization phenomenon explored above seems to be a distinctive mode of organization. It can be produced via broad classes of driving, and creates striking fluctuations of randomness. This model may aid understanding of other puzzling systems showing erratic fluctuations, such as strong turbulence. >>️

️

Yunxiang Song, Thomas A. Witten. Stochastic synchronization induced by noise. arXiv:2108.13172v1 [cond-mat.stat-mech]. Aug 16, 2021.

https://arxiv.org/abs/2108.13172

Also

<< stabilizzare il volo del fascio di aquiloni  >> in: ️2149 - onda di predazione (to knock seals off the ice).  Notes. Dec 17, 2007. (quasi-stochastic poetry)

https://inkpi.blogspot.com/2007/12/2149-onda-di-predazione-to-knock-seals.html

keyword 'noise' | 'fuzzy' in FonT

https://flashontrack.blogspot.com/search?q=noise

https://flashontrack.blogspot.com/search?q=fuzzy

# astro: you might find erratic massive black holes in dwarf galaxies ...

<< The new VLA (Very Large Array) observations revealed that 13 of these galaxies have strong evidence for a massive black hole that is actively consuming surrounding material. (AA) were very surprised to find that, in roughly half of those 13 galaxies, the black hole is not at the center of the galaxy, unlike the case in larger galaxies, >>  Amy Reines.

<< The scientists said this indicates that the galaxies likely have merged with others earlier in their history. This is consistent with computer simulations predicting that roughly half of the massive black holes in dwarf galaxies will be found wandering in the outskirts of their galaxies. >>

<< This work has taught us that we must broaden our searches for massive black holes in dwarf galaxies beyond their centers to get a more complete understanding of the population and learn what mechanisms helped form the first massive black holes in the early Universe, >> Amy Reines.

Astronomers find wandering massive black holes in dwarf galaxies. National Radio Astronomy Observatory. Jan 6, 2020.

https://m.phys.org/news/2020-01-astronomers-massive-black-holes-dwarf.html    

Amy Reines, James Condon, et al. A New Sample of (Wandering) Massive Black Holes in Dwarf Galaxies from High Resolution Radio Observations. arXiv:1909.04670v1 [astro-ph.GA] Sep 10, 2019.

https://arxiv.org/abs/1909.04670

Also

keyword 'astro' in FonT

https://flashontrack.blogspot.com/search?q=astro

# img: erratic tray

# s-gst: fractals to approach wigglies

<< (..) or narrow down forecasts for "wiggly" problems—those that involve rapid erratic behavior with seemingly unpredictable movements, including real-world issues like the stock market or climate change. >>

Beautiful fractals help solve 'wiggly' problems. July 5, 2016

http://m.phys.org/news/2016-07-beautiful-fractals-wiggly-problems.html

# s-math: hijacking news: unexpected, surprisingly erratic biases inside PI

<< the distribution of the last digit of prime numbers are not as random as has been thought, which suggests prime's themselves are not >>

Bob Yirka. Mathematician pair find prime numbers aren't as random as thought. March 15, 2016

http://m.phys.org/news/2016-03-mathematician-pair-prime-random-thought.html

Robert J. Lemke Oliver, Kannan Soundararajan. Unexpected biases in the distribution of consecutive primes, arXiv:1603.03720 [math.NT]

http://arxiv.org/abs/1603.03720