An Introduction to Complex Systems

List of Examples | (see also Table of Contents) |

The book contains a large number of examples, interspersed throughout the text, with an introductory and then more thoroughly developed case study at the beginning and end of every chapter, with the end of chapter studies designed to illustrate and apply the concepts of the chapter to a problem of practical interest:

Case Study 2: Global Warming and Climate Change

Case Study 3: Nutrient Flows, Irrigation, and Desertification

Case Study 4: Water Levels of the Oceans and Great Lakes

Case Study 5: System Decoupling

Case Study 6: Climate and Hysteresis

Case Study 7: Geysers, Earthquakes, and Limit Cycles

Case Study 8: Global Circulation Models

Case Study 9: Power Laws in Social Systems

Case Study 10: Complex Systems in Nature

Case Study 11A: Sensing — Synthetic Aperture Radar

Case Study 11B: Inversion — Atmospheric Temperature

Case Study 12: Satellite Remote Sensing of the Ocean

Application 11: Multi-Instrument Fusion of Porous Media

Example 3.1: Three systems and their envelopes

Example 3.2: Complete Accounting

Example 3.3: Entropy Reduction

Example 3.4: Society, Civilization, and Complexity

Example 3.5: Energy Returned on Energy Invested (EROEI)

Example 3.6: Maximum Power Principle

Example 3.7: Global Flows I

Example 4.1: System Examples

Example 4.2: Correlation Lag — Mechanical System

Example 4.3: Correlation Lag — Thermal System

Example 5.1: The Exponential Function

Example 5.2: Coupled Systems

Example 5.3: Resilience I — Linear Systems

Example 6.1: Population Growth

Example 6.2: Bead on a Hoop

Example 6.3: System Perturbations

Example 6.4: Deliberate Hystereses

Example 6.5: Playing with Blocks

Example 6.6: Hysteresis in Freshwater Lakes

Example 7.1: Nonlinear Competing Dynamics

Example 7.2: Basins for Root Finding

Example 7.3: Resilience II — Nonlinear Systems

Example 7.4: Creating and Finding a Limit Cycle

Example 7.5: An Alarm Bell as Limit Cycle

Example 7.6: Limit Cycles in Economics

Example 7.7: The Tragedy of the Commons

Example 7.8: Societal Dynamics

Example 8.1: Spatial Discretization

Example 8.2: The Spatial Dynamics of Human Impact

Example 8.3: Two-Box Lumped-Parameter Model

Example 8.4: Global Flows II

Example 8.5: Spatial Nonlinear Systems and Traffic Jams

Example 9.1: Memory and Exponentials

Example 9.2: Power Laws in Finance

Example 9.3: Power Laws in Weather

Example 9.4: Power Laws and Fraud Statistics

Example 9.5: Power Laws and Cities

Example 9.6: Power Laws and Discount Functions

Example 10.1: Ferromagnetic Phase Change

Example 10.2: Spatial SOC — Earthquakes

Example 10.3: Slime Mould Emergence

Example 10.4: Resilience III — Complex Systems

Example 11.1: Indirect Inference

Example 11.2: Can a Space Telescope Read a Newspaper?

Example 11.3: Measurements and Constraints

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