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...
| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
