Dynamical Systems 1/4: A Navigational Guide - Herbert Jaeger скачать в хорошем качестве

Dynamical Systems 1/4: A Navigational Guide - Herbert Jaeger

This is a crash course (4 sessions at 2 hours each) on dynamical systems by Herbert Jaeger. See below for video contents of all sessions. The video was recorded 2018 at the Interdisciplinary College, where the course was held several times already. See below for more info. The presentation is meant to be introductory, understandable for a general natural / neural / cognitive science audience. The slides that are seen in the recording and slightly updated slides are available (esp. regarding web links) for download. LINKS Herbert Jaeger: https://www.ai.rug.nl/minds/herbert/ Interdisciplinary College: https://interdisciplinary-college.org/ Original slides: https://www.ai.rug.nl/minds/uploads/I... Updated slides: https://www.ai.rug.nl/minds/uploads/I... VIDEO CONTENTS Session 1: Part I: Introduction: so many ways to classify models of dynamical systems! – Part II: A zoo of finite-state models: finite-state automata with and without input, deterministic and non-deterministic, probabilistic), hidden Markov models and partially observable Markov decision processes. Session 2: Finite-state models continued: Cellular automata, dynamical Bayesian networks. Part III: A zoo of continuous state models: iterated function systems, ordinary differential equations, stochastic differential equations, delay differential equations, partial differential equations, (neural) field equations. Part IV: What is a state? Takens' theorem. Session 3: Part V: State-free models of temporal systems. The engineering view on "signals". Describing sequential data by grammars. Chomsky hierarchy. Exponential and power-law long-range interactions. Part VI: qualitative theory of dynamical systems. Attractors, structural stability. Session 4: Part VI continued: bifurcations. Phase transitions. Topological dynamics. Discussion: attractors and symbols. Part VII: non-autonomous dynamical systems. Basic definitions. Nonautonomous attractor concepts.