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#Bifurcations

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Charo del Genio

New paper out.

What happens when you make a model that includes realistic details about how people discuss ideas and decide how to act upon them? The answer is that with just 3 such elements of realism, one can mathematically explain the emergence of commonly observed situations, such as reaching a consensus and exchanging opinions, but also the separation of ideologies and the appearance of stable polarization. Not only this, but one can also account for phenomena such as peer pressure, cognitive dissonance, tactical voting and toxic idealism ( @benroyce I told you I was going to do it 😀 ) and prove how they affect the final state of the system.

sciencedirect.com/science/arti

On the left, three panels show how consensus evolves within the multi-dimensional multi-option opinion dynamics model. Specifically, the panels show the opinions of all the simulated agents, represented as trajectories in time of their level of support for different options on different topics. In this example, they all eventually reach the same stable state, supporting option 2 and opposing option 1 and option 3. On the right, the distributions of such opinions are drawn in the form of 3-d plots, and as heat maps, to show the presence of a bifurcation at a critical value of the parameter that reflects the overall strength of correlations and influences. These plots illustrate how, after this parameter crosses the critical threshold, shifts start occurring, eventually leading the opinion distributions towards their final state.
#physics#mathematics#networks
Public
Stéphane Crozat

#Festival·Ingénieries·Souhaitables #UTC
#bifurcations
Mars 2025 - Appel à participation.

Cette année, le Festival des Ingénieries Souhaitables (FIS) revient pour sa deuxième édition ! Cet événement de deux jours vise à accompagner dans leur projection professionnelle les Utcéen·nes sensibles aux urgences socio-environnementales.

framaforms.org/alumni-viens-pa

framaforms.orgAlumni, viens participer au Festival des Ingénieries Souhaitables ! | Framaforms.org
Public
JeromeDqn

During the course "#Qualitative #theory of #dynamical systems" taught @UNamur, I asked students to report me their favourite application of the Implicit Function Theorem (IFT). In this unit, this #theorem plays a pivotal role for #bifurcations and preservation of #equilibria.

A student reported me that we can prove the existence of a return time for #Poincaré map of vector fields having a periodic orbit using the IFT. Here how 🧵:

🐦🐦🐦twitter.com/daquin_jerome/stat

TwitterJérôme Dqn on Twitter“During the course "Qualitative #theory of dynamical systems" taught @UNamur, I asked students to report me their favourite application of the Implicit Function Theorem (IFT). In this unit, this #theorem plays a pivotal role for #bifurcations and preservation of #equilibria.”
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André Ourednik

The Euclidan space is a good framework for thinking about complex life matters, such as existential #bifurcations.

ourednik.info/maps/2022/03/14/

#geography #phenomenology

“The period before the First World War, in which I grew up: it was the golden age of security. In our almost thousand-year-old Austrian monarchy, everything seemed to be based on permanence, and the state itself seemed the supreme guarantor of that permanence.” - Stefan Zweig

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