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An Introduction to Complex Systems Society, Ecology, and Nonlinear Dynamics

This undergraduate text explores a variety of large-scale phenomena - global warming, ice ages, water, poverty - and uses these case studies as a motivation to explore nonlinear dynamics, power-law statistics, and complex systems. Although the detailed mathematical descriptions of these topics can b...

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Bibliographic Details
Main Author: Fieguth, Paul
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Subjects:
Complex Systems
Environment
Earth System Sciences
Applied Dynamical Systems
Game Theory
System Theory
Nonlinear Theories
Environmental Sciences
Physical Geography
Dynamics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 2 Global Warming and Climate Change
  • Further Reading
  • 3 Systems Theory
  • 3.1 Systems & Boundaries
  • 3.2 Systems & Thermodynamics.-3.3 Systems of Systems
  • Case Study 3: Nutrient Flows, Irrigation, and Desertification
  • Further Reading
  • Sample Problems
  • 4 Dynamic Systems
  • 4.1 System State
  • 4.2 Randomness
  • 4.3 Analysis
  • 4.3.1 Correlation
  • 4.3.2 Stationarity
  • 4.3.3 Transformations
  • Case Study 4: Water Levels of the Oceans and Great Lakes
  • Further Reading
  • Sample Problems
  • 5 Linear Systems
  • 5.1 Linearity
  • 5.2 Modes
  • 5.3 System Coupling
  • 5.4 Dynamics
  • 5.5 Non-Normal Systems
  • Case Study 5: System Decoupling
  • Further Reading
  • Sample Problems
  • 6 Nonlinear Dynamic Systems – Uncoupled
  • 6.1 Simple Dynamics
  • 6.2 Bifurcations
  • 6.3 Hysteresis and Catastrophes
  • 6.4 System Behaviour near Folds
  • 6.5 Overview
  • Case Study 6: Climate and Hysteresis
  • Further Reading
  • Sample Problems
  • 7 Nonlinear Dynamic Systems – Coupled.-7.1 Linearization
  • 7.2 2D Nonlinear Systems
  • 7.3 Limit Cycles and Bifurcations
  • Case Study 7: Geysers, Earthquakes, and Limit Cycles
  • Further Reading
  • Sample Problems
  • 8 Spatial Systems
  • 8.1 PDEs
  • 8.2 PDEs & Earth Systems
  • 8.3 Discretization
  • 8.4 Spatial Continuous-State Models
  • 8.5 Spatial Discrete-State Models
  • 8.6 Agent Models
  • Case Study 8: Global circulation models
  • Further Reading
  • Sample Problems
  • 9 Power Laws and Non-Gaussian Systems
  • 9.1 The Gaussian Distribution 9.2 The Exponential Distribution
  • 9.3 Heavy Tailed Distributions
  • 9.4 Sources of Power Laws
  • 9.5 Synthesis and Analysis of Power Laws
  • Case Study 9: Power Laws in Social Systems
  • Further Reading
  • Sample Problems
  • 10 Complex Systems
  • 10.1 Spatial Nonlinear Models
  • 10.2 Self-Organized Criticality
  • 10.3 Emergence
  • 10.4 Complex Systems of Systems
  • Case Study 10: Complex Systems in Nature
  • Further Reading
  • Sample Problems
  • 11 Observation & Inference
  • 11.1 Forward Models
  • 11.2 Remote Measurement
  • 11.3 Resolution.-11.4 Inverse Problems
  • Case Study 11A: Sensing— Synthetic Aperture Radar
  • Case Study 11B: Inversion— Atmospheric Temperature
  • Further Reading
  • Sample Problems
  • 12 Water.-12.1 Ocean Acidification
  • 12.2 Ocean Garbage
  • 12.3 Groundwater
  • Case Study 12: Satellite Remote Sensing of the Ocean
  • Further Reading
  • Sample Problems
  • 13 Concluding Thoughts
  • Further Reading
  • Part I Appendices
  • Index

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