"Version: 20250501"--Title page verso.Includes bibliographical references.1. Preliminaries -- 1.1 Randomness -- 1.2. Uncertainty -- 1.3. Determinism -- 1.4. Dynamical systems -- 1.5. State space -- 1.6. Attractors -- 1.7. Nonlinear systems -- 1.8. Sensitive dependence -- 1.9. Models and faithfulness2. A brief history of chaotic dynamics -- 2.1. Sensitive dependence on initial conditions -- 2.2.…
"Version: 202108"--Title page verso.Includes bibliographical references.part I. Introduction. 1. What this book is about -- 1.1. Unpredictability -- 1.2. Domain structured dynamics -- 1.3. Random processes -- 1.4. Abstract fractals -- 1.5. Differential equations -- 1.6. Neural networkspart II. Chaos and fractals. 2. Unpredictability implies chaos -- 2.1. Unpredictability in dynamics -- 2.2. Unp…
"Version: 20241101"--Title page verso.Includes bibliographical references.part I. Introduction. 1. Historical and philosophical overview -- 1.1. Outline -- 1.2. A new mathematical structure -- 1.3. Alpha labels in spiraled hierarchy of mathematical structures -- 1.4. Universality and minimalism of alpha labeling and unpredictability -- 1.5. Principle of excessiveness : the Universe approximates…