# gst: apropos of interweavings, linking dispersion and stirring in randomly braiding flows.

     Fig. 5 (a)

<< Many random flows, including 2D unsteady and stagnation-free 3D steady flows, exhibit non-trivial braiding of pathlines as they evolve in time or space. (AA) show that these random flows belong to a pathline braiding 'universality class' that quantitatively links dispersion and chaotic stirring, meaning that the Lyapunov exponent can be estimated from the purely advective transverse dispersivity. (AA) verify this quantitative link for both unsteady 2D and steady 3D random flows. This result uncovers a deep connection between transport and mixing over a broad class of random flows. >>️

Daniel R. Lester, Michael G. Trefry, Guy Metcalfe. Linking Dispersion and Stirring in Randomly Braiding Flows. arXiv: 2412.05407v1 [physics.flu-dyn]. Dec 6, 2024.

https://arxiv.org/abs/2412.05407

Also: random, chaos, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, random, random flows, randomly braiding flows, chaos

# life: apropos of impossible predictions, Lewis & Jackson (mjq) dipole, a bizarre form revisited

<< Qui un kernel di creativita' invece di autogenerarsi all'interno di un sistema cognitivo individuale emerge e si stabilizza grazie all' interazione cooperativa a lungo termine tra due personalita' ... >>

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<< Qui si potrebbe introdurre un ulteriore elemento di impredicibilita'  (..) quasi una meccanica a metano protonato, per dire ... >>

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2124 - attrattore cooperativo bipolare (nell'elastici spigoli). Notes. (quasi-stochastic poetry). Mar 05, 2007.

https://inkpi.blogspot.com/2007/03/2124-attrattore-cooperativo-bipolare.html   

Also: mjq, all the things you are (jazz night). 

https://youtu.be/6SLy0BhODLs?si=Pu43K2aYgBsbC3he

Also:  << Musk was indispensable to Trump’s campaign this year, endorsing the former president before pouring more than $100 million into the effort to elect him. Now he’s serving as one of Trump’s closest advisers, staying overnight at Mar-a-Lago and attending virtually every high-level meeting by his side. There are reports that he’s effectively living at the club. All of that was already inspiring headlines last month like, “Elon Musk may already be overstaying his welcome in Trump’s orbit.” >>

Eddie Scarry. Here’s How e Media Are Lying Right Now: Fake Trump-Musk. thefederalist.com. Dec 19, 2024.️

https://thefederalist.com/2024/12/19/heres-how-the-media-are-lying-right-now-fake-trump-musk-wedge-edition/

Also:  << In meno di tre giorni Elon Musk è riuscito a portare il governo degli Stati Uniti a un passo dalla chiusura e a interferire con le imminenti elezioni tedesche. Il tutto senza alzare gli occhi dal suo telefonino. È con un tweet sul social X ... >>️

Simona Siri. Il caso. lastampa.it  Dec 21, 2024.  https://www.lastampa.it/esteri/2024/12/21/news/elon_musk_germania_elezioni_ultradestra_afd-14899496/

Also: jazz, RAG-time, Mr. Donald, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, jazz, RAG-time, Mr. Donald, Mr. Elon

# gst: apropos of transitions, towards a theory for the formation of chimera patterns in complex networks

This AA work << formalizes a systematic method by evoking pattern formation theory to explain the emergence of chimera states in complex networks. >>

They << show that the randomness of network topology, as reflected in the localization of the graph Laplacian eigenvectors, determines the emergence of chimera patterns, underscoring the critical role of network structure. In particular, this approach explains how amplitude and phase chimeras arise separately and explores whether phase chimeras can be chaotic or not. (AA) findings suggest that chimeras result from the interplay between local and global dynamics at different time scales. >>

Malbor Asllani, Alex Arenas. Towards a Theory for the Formation of Chimera Patterns in Complex Networks. arXiv: 2412.05504v1 [nlin.AO]. Dec 7, 2024.

https://arxiv.org/abs/2412.05504

Also: chimera, network, transition, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, chimera, network, transition

# life: They woke up in a body bag, by Van.

<< 'We woke up in a body bag': Van Jones makes stunning admission about why Trump steamrolled the establishment. >>️

Van Jones, << a former Obama adviser who had several weeks to get over his election-night despair, was particularly candid about how President-elect Donald Trump was able to electorally crush ... >>

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<< After suggesting that the liberal political establishment is "all screwed up" and detached from the electorate and its wants and needs, Jones likened the media's predictions in the lead-up to the election to the ancient practice whereby a haruspex would read omens from animal entrails. >>️

<< 'We look like idiots.' >> Van Jones.

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Joseph MacKinnon. 'We woke up in a body bag'. Blaze Media LLC. Dec 16, 2024. 

https://www.theblaze.com/news/we-woke-up-in-a-body-bag-van-jones-makes-stunning-admission-about-why-trump-steamrolled-the-establishment 

Chris Cillizza. Van Jones is the most honest man in politics. Dec 13, 2024. 

https://youtu.be/ZKd8ZM-TJU4

Also: Mr. Donald, RAG-time, dance, in https://www.inkgmr.net/kwrds.html 

Keywords: life, ethno, dance, Donald, POTUS, POTUSrace, RAG-time

# gst: vortex-pair dance and oscillation

       Fig. 4

This AA study << focuses on fundamental dynamics of vortex-pair fields, specifically known as vortex-pair beams (VPBs) in optics. VPBs have gained increasing attention due to their unique properties, including vortex attraction and repulsion. Here, (AA)  explore the dynamics of pure-phase VPBs (PPVPBs) and observe intriguing helical and intertwined behaviors of vortices, resembling a vortex-pair dance. >>

They << uncover the oscillation property of the intervortex distance for PPVPBs in free space. The observed dancing and oscillation phenomena are intricately tied to the initial intervortex distance and can be explained well in the hydrodynamic picture. Notably, the vortex dancing and oscillation alter the process of vortex-pair annihilation, extending the survival range for opposite vortices. >>

<< This discovery enhances our understanding of vortex interactions and sheds light on the intricate dynamics of both vortex-vortex and vortex-antivortex interactions. >>

Dadong Liu, Lai Chen, Li-Gang Wang. Observation of vortex-pair dance and oscillation. arXiv: 2412.06634v1 [physics.optics]. Dec 9, 2024.

https://arxiv.org/abs/2412.06634

Also: vortex, dance, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, vortex, dance 

# gst: self-organized chimera states in pulse-coupled oscillator systems.

<< Coupled oscillator systems can lead to states in which synchrony and chaos coexist. These states are called “chimera states.” >>

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AA << study a variation of a pulse-coupled oscillator (PCO) model that has been shown to produce chimera states, demonstrate that it reproduces several of the expected chimera properties, like the formation of multiple heads and the ability to control the natural drift that Kuramoto's chimera states experience in a ring, and explain how chimera states emerge. >>️

<< Three notable aspects of chimeras in our PCO networks (with time-discrete coupling) are the absence of firing events from the tail (which still almost synchronize their phases), the reliable onset of the phenomenon from virtually any initial configuration, and the lack of a superimposed structure (e.g., artificially splitting the population into subgroups) and thus the self-organized nature of the phenomenon. >>️

Arke Vogell, Udo Schilcher, et al. Chimera states in pulse-coupled oscillator systems. Phys. Rev. E 110, 054214. Nov 26, 2024.

https://journals.aps.org/pre/abstract/10.1103/PhysRevE.110.054214 

Also: chimera, self-assembly, chaos, network,  in https://www.inkgmr.net/kwrds.html 

Keywords: gst, chimera, self-assembly, chaos, network 

# game: balance exploration and exploitation, making decisions cooperatively without sharing information.

<< Multiagent reinforcement learning (MARL) studies crucial principles that are applicable to a variety of fields, including wireless networking and autonomous driving. (AA) propose a photonic-based decision-making algorithm to address one of the most fundamental problems in MARL, called the competitive multiarmed bandit (CMAB) problem. >>

AA << demonstrate that chaotic oscillations and cluster synchronization of optically coupled lasers, along with (their) proposed decentralized coupling adjustment, efficiently balance exploration and exploitation while facilitating cooperative decision making without explicitly sharing information among agents. >>

AA << study demonstrates how decentralized reinforcement learning can be achieved by exploiting complex physical processes controlled by simple algorithms. >>

Shun Kotoku, Takatomo Mihana, et al. Decentralized multiagent reinforcement learning algorithm using a cluster-synchronized laser network. Phys. Rev. E 110, 064212. Dec 11, 2024.

https://journals.aps.org/pre/abstract/10.1103/PhysRevE.110.064212

Img: https://x.com/PhysRevE/status/1866889144657465632

Also: game, chaos, ai (artificial intell), in https://www.inkgmr.net/kwrds.html 

Keywords: game, cooperation, chaos, exploration, exploitation, ai, artificial intelligence, MARL, CMAB.