Dynamical Systems

concepts · 7 notes linked

Related: Chaos Theory · Quanta Magazine · Kathryn Mann · Cornell University · Topology · Complex Systems · Predictability · Time Series Forecasting

Notes

• 'Entropy Bagels' and Other Complex Structures Emerge From Simple Rules | Quanta Magazine — Complex fractal structures emerging from iterated simple polynomial rules
• Bunimovich Stadium — Ergodic billiard system proving chaos via defocusing mechanism
• Flow Proof Helps Mathematicians Find Stability in Chaos | Quanta Magazine — New proof classifies Anosov flows using only periodic trajectory data
• GitHub - ahgroup/DSAIDE: R Package - Dynamical Systems Approach to Infectious Disease Epidemiology — R package teaching infectious disease epidemiology via simulation apps
• How long should a lockdown-relaxation cycle last? — Mathematical optimization of lockdown-relaxation cycle triggers and lengths
• New Math Shows When Solar Systems Become Unstable | Quanta Magazine — First mathematical proof of inevitable orbital instability in n-body planetary systems
• Predictability of Complex Systems — Review of theoretical limits and methods for predicting complex systems