We didn't tell it about the two wings of the butterfly.
It found them anyway.
I-Field RNN trained on Lorenz reconstruction , the learned phase space spontaneously mirrors the attractor's bistable topology. And the I-field drops before every regime switch. Critical slowing down. Emergent.
Preprint: https://doi.org/10.5281/zenodo.20767066
This is what happens when your recurrent unit has a phase space.
#DynamicalSystems #MachineLearning #Chaos #Neuroscience #IField #Bifurcation
Most RNNs are black boxes. This one isn't.
I built a recurrent unit with a defined phase space — bistability, hysteresis, and limit cycles emerge naturally from the equations. No gates. No black magic. Just nonlinear dynamics.
The I‑Field RNN: memory of its own activity.
📄 https://doi.org/10.5281/zenodo.20767066
#MachineLearning #DynamicalSystems #Neuroscience #RNN #Bifurcation
Most recurrent neural networks rely on high‑dimensional hidden states that lack an explicit dynamical interpretation and cannot autonomously generate multistability, hysteresis, or sustained oscillations. We introduce the I‑Field RNN, a low‑dimensional recurrent unit derived from a biophysical conductance‑based neuron model through adiabatic elimination. The unit is governed by two interpretable variables: a fast synaptic current and a slow internal field with learnable refractory feedback. This design yields a well‑defined phase space with several emergent properties. For a range of the refractory coefficient, the system undergoes a saddle‑node bifurcation, creating bistability and hysteresis; a brief input pulse permanently switches the unit between attractors, producing a transparent memory switch. With inhibitory feedback, a supercritical Hopf bifurcation ($l_1 = -7.38 < 0$) generates sustained limit cycles. We validate the model on synthetic binary event streams with a known refractory period, using a context window shorter than the refractory period to force reliance on the internal field. The field decay rate $\alpha_I$ shows a sharp two‑regime adaptation: for short refractory periods it increases significantly to accelerate the field decay, while for long periods it remains at its biophysically motivated slow initialisation ($p = 0.0013$, t‑test). The refractory coefficient $\rho$ provides complementary modulation. These results confirm that the unit actively uses its structural memory rather than relying solely on opaque recurrent weights. The I‑Field RNN bridges dynamical systems theory and differentiable computation, offering a transparent, multistable, and oscillatory alternative to black‑box recurrent architectures.
#BIFURCATION ___ La bifurcation c'est l'instant où tu joues ta vie.
Exemple comme un autre: je me souviens d'un jour innocent où je pensai bon de changer de cap. Des déçus compréhensifs m'ont suivi du regard sur le chemin qui devait s'avérer sans issue. Tu m'as demandé, l'air songeuse, de jouer de la guitare. Je savais, sais-tu, que dans cette...
https://wikitractatus.ourednik.info/bifurcation
Atterrir c’est planifier. Réponse à Guillaume Carnino
Le livre de Cédric Durand et Razmig Keucheyan, "Comment bifurquer ? Les principes de la planification écologique", (2024) et de Cédric Durand, "Faut-il se passer du numérique pour sauver la planète ?" (2025) ont suscité de nombreux débats, notamment quant à la place à accorder aux technologies numériques dans un projet de planification écosocialiste. Dans Terrestres, Guillaume Carnino critique vertement ces ouvrages qui seraient porteurs d’un « accélérationnisme de gauche ». Cédric Durand et Razmig Keucheyan lui répondent.
A new AI approach, trained on physical equations, allows identifying the moment when a stable flow becomes unstable.
Machine learning could transform simulations in engineering, weather, and extreme events.
🔗 https://phys.org/news/2026-04-ai-method-flags-fluid-simulations.html
#FluidDynamics #MachineLearning #ComputationalPhysics #Bifurcation #leidenfrost
David J. Silvester, a mathematics professor at the University of Manchester, has developed a novel machine-learning method to detect sudden changes in fluid behavior, improving speed and the cost of identifying these instabilities and overcoming one of the major obstacles faced when using machine learning to simulate physical systems. The findings are published in the Journal of Computational Physics.
5/6
COMMUNIQUÉ AUX PUISSANTS DU MONDE
Objet : L'avenir de l'humanité ressemble à un entonnoir ouvert. Son ouverture est désormais déterminée par des automates : algorithmes, IA, armements autonomes.
Angle étroit → auto-anéantissement. Angle large → avenir possible.
Cette bifurcation est atteinte MAINTENANT.
Nous exigeons un cabinet de sécurité immédiat et non public
Ouvrez l'entonnoir. Le silence livre l'avenir au hasard.
#Bifurcation #PaixMondiale
https://github.com/gerhard-source/WeltFrieden/blob/main/KOMMUNIQU%C3%89_AN_DIE_M%C3%84CHTIGEN_DER_WELT_fr.md
Bifurcation, Deliver Us From Evil, Double Barrel Solution, Anggrath, Illan Kaapan & Secluded @ The Tote 18+
The Tote, Friday, May 29 at 07:00 PM GMT+10
Fresh off their Brand new EP, DOUBLE BARREL SOLUTION are heading to Melbourne to play their Fight music at The Tote. Coming down with DBS are Adelaide special guests BIFURCATION and ANGGRATH. Also Performing is the Melbourne Beatdown Goats in DELIVER US FROM EVIL, Sri Lankan Legends ILLAN KAAPAN and fellow Fight music experts SECLUDED.
The Tote - 67-71 Johnston St, Collingwood VIC 3066
$15 + BF Online | $20 on Doors
-SEPPUKU BOOKINGS-
Bifurcation civilisationnelle : technicisation centralisée ou auto-organisation
Bifurcation décisive : technicisation centralisée (Wittfogel/Adams, compétition Bourdieu) → hiérarchie/bureaucratie OU auto-organisation assembléiste (Proudhon/Kaba) ? Oubliée : non-technicisation (Fukuoka). #bifurcation #Microdistrict200 #Fukuoka La bifurcation civilisationnelle se cristallise autour de la technicisation de la subsistance : deux trajectoires radicalement opposées, avec une…
RE: https://mastodon.social/@risujith/116396607427496099
A gentle reminder - the webinar is scheduled for today at 20:30 IST | 17:00 CEST | 08:00 PDT | 11:00 EDT.
#ComplexSystems #webinarinvite #Zoomcodes #ComplexNetworks #PIK #UCSB #Synchronizarion #Nonlineardynamics #Neuroscience #Chaos #PhaseTransition #Bifurcation #BrainSimulation #NeurologicalDisorder
FundamentalTime
WikiTractatus
Contretemps - Revue de critique communiste - Contretemps [Unofficial]
kriykat
LeidenForce
DenkRebellx
ASK A PUNK MELBOURNE
homo hortus
Prof. R. I. Sujith