Damian Sowinski
@doctorowls.bsky.social
Physicist trying to figure out the whole Life, Universe, and Everything puzzle.
Questionably successful at the endeavor, yet inarguably having fun hacking away at it.
Come join me on this awesome adventure!
Questionably successful at the endeavor, yet inarguably having fun hacking away at it.
Come join me on this awesome adventure!
The logistic map is a good starting point if you want to understand chaos and complexity in a simple setting. As we vary the free parameter "r" limit cycles appear on the left plot. At first there is only one, then 2, then 4, then more and more, shown in the right. (1/2)
July 2, 2025 at 5:41 PM
The logistic map is a good starting point if you want to understand chaos and complexity in a simple setting. As we vary the free parameter "r" limit cycles appear on the left plot. At first there is only one, then 2, then 4, then more and more, shown in the right. (1/2)
Chaos is unpredictability, a property even deterministic systems display. In the Lorenz system, two trajectories, infinitesimally close to each other, will begin to diverge. Can you predict when? #chaos #dynamicalsystems #LorenzAttractor #Mathematics
April 10, 2025 at 10:59 PM
Chaos is unpredictability, a property even deterministic systems display. In the Lorenz system, two trajectories, infinitesimally close to each other, will begin to diverge. Can you predict when? #chaos #dynamicalsystems #LorenzAttractor #Mathematics
The Lorenz system is a simple set of ordinary differential equations, yet exhibits complex and chaotic behavior. Simple rules can lead to incredibly rich, unpredictable behavior. The loops you see below are called an attractor: they attract far off points into their chaotic orbit.
April 9, 2025 at 10:51 PM
The Lorenz system is a simple set of ordinary differential equations, yet exhibits complex and chaotic behavior. Simple rules can lead to incredibly rich, unpredictable behavior. The loops you see below are called an attractor: they attract far off points into their chaotic orbit.
From fireflies to seizures, synchronization is a critical phenomenon in many biological systems. We construct the Langevin equation for localized interventions on the Kuramoto model to describe how to induce or prevent synchronization. Check out our new paper: journals.aps.org/prresearch/a...
November 25, 2024 at 7:40 PM
From fireflies to seizures, synchronization is a critical phenomenon in many biological systems. We construct the Langevin equation for localized interventions on the Kuramoto model to describe how to induce or prevent synchronization. Check out our new paper: journals.aps.org/prresearch/a...