https://simanaitissays.com/2026/10/06/disorder-promotes-stability-part-2/Simanaitis Saysen2026-10-06T13:05:00+00:00DISORDER PROMOTES STABILITY PART 2Jacobian matrix: "generalization of derivative/differentials to vector-valued functions of several variables,, "Noise and Diversity Can Promote Stability" Raissa M. D'Souza AAAS "Science",, "Disorder-promoted Stability" Montanari et al. AAAS "Science",, Montanari et al.: "small amounts of disorder can be an asset to faciliate collective behaviors",, fireflies interact through signaling and mating,, equations of interactions can be assembled into a Jacobian matrix (the more negative its eigenvalue the more stable,https://simanaitissays.com/wp-content/uploads/2026/10/image0-scaled.jpeg.webp?w=150https://simanaitissays.com/2026/10/05/shake-things-up-itll-help-part-1/Simanaitis Saysen2026-10-05T13:05:00+00:00SHAKE THINGS UP—IT’LL HELP PART 1"Noise and Diversity Can Promote Stability" Raissa M. D'Souza AAAS "Science",, matrix: rectanguar array of values,, Jacobian matrix: generalization of derivatives/differentials with vector-value functions of several variables,, "Editor's summary": Yury Suleymanov,, Matrix algebra: add/multiply matrices,, "Dynamical Systems Anosov Flows and Arnold's Cat" "SimanaitisSays",, "Disorder-promoted Stability" Montanari et al. AAAS "Science",https://simanaitissays.com/wp-content/uploads/2026/10/science.aek9090-f1.jpg?w=150