Exploring the behavior of #DynamicalSystems directly through their differential equations can be complex. #PhasePlaneAnalysis offers a clearer and intuitive view by visualizing dynamics with #PhasePortraits, simplifying understanding. Here is a #tutorial along with some #Python code, exploring this method and exemplarily applying it to the simple pendulum.
🌍 https://www.fabriziomusacchio.com/blog/2024-03-17-phase_plane_analysis/
The #RösslerAttractor, introduced by Otto Rössler in 1976, does not describe a real physical system. Instead, it is a mathematical construction designed to illustrate and study the behavior of #ChaoticSystems in a simpler, more accessible manner. Here's some #Python code that simulates the #attractor and to play around with:
🌍 https://www.fabriziomusacchio.com/blog/2024-03-10-roessler_attractor/
"Emergence of a stochastic resonance in machine learning"
https://arxiv.org/abs/2211.09955
#MachineLearning #DynamicalSystems #Chaos #ChaoticSystems #ReservoirComputing #Optimization
On states of disorder and irregularities in chaos theory. Self-similarity itself is a typical property of those mathematical objects. #Fractals #StrangeAttractors #chaoticsystems are used to create an immersive light and sound performance @WolfgangSpahn
#amro20mainstage
