#dynamical-systems

37. Dynamical Systems and Ergodic Theory

This volume studies systems that evolve over time, focusing on long-term behavior, stability, and statistical properties. It connects analysis, topology, geometry, and probability. Part I. Foundations of Dynamical Systems Chapter 1. Dynamical Systems 1.1 Discrete vs continuous systems 1.2 State space and evolution rules 1.3 Examples from physics and biology 1.4 Orbits and trajectories 1.5 Invariant sets Chapter 2. Flows and Maps 2.1 Iterated maps 2.2 Continuous flows 2.3 Fixed...