An introduction to complex systems : society, ecology, and nonlinear dynamics / Paul Fieguth.
Fieguth, Paul, author.
2021
QA808 .F54 2021
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Title An introduction to complex systems : society, ecology, and nonlinear dynamics / Paul Fieguth.
Author Fieguth, Paul, author.
Edition Second edition.
ISBN 9783030631680 (electronic bk.)
3030631680 (electronic bk.)
9783030631673
3030631672
DOI https://doi.org/10.1007/978-3-030-63168-0
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (chiefly color)
Item Number 10.1007/978-3-030-63168-0 doi
Call Number QA808 .F54 2021
Dewey Decimal Classification 531.01/515
Summary Complex Systems lie at the heart of a variety of large-scale phenomena of great significance - global warming, ice ages, water, poverty, pandemics - and this text uses these case studies as motivations and contexts to explore complex systems and related topics of nonlinear dynamics and power-law statistics. Although detailed mathematical descriptions of these topics can be challenging, the consequences of a system being nonlinear, power-law, or complex are in fact quite accessible. This book blends a tutorial approach to the mathematical aspects of complex systems together with a complementary narrative on the global/ecological/societal implications of such systems. Nearly all engineering undergraduate courses focus on mathematics and systems which are small scale, linear, and Gaussian. Unfortunately there is not a single large-scale ecological or social phenomenon that is scalar, linear, and Gaussian. This book offers insights to better understand the large-scale problems facing the world and to realize that these cannot be solved by a single, narrow academic field or perspective. Instead, the book seeks to emphasize understanding, concepts, and ideas, in a way that is mathematically rigorous, so that the concepts do not feel vague, but not so technical that the mathematics get in the way. The book is intended for students in technical domains such as engineering, computer science, physics, mathematics, and environmental studies. This second edition adds nine new examples, over 30 additional problems, 50 additional figures, and three new chapters offering a detailed study of system decoupling, extensive solutions to chapter problems, and a timely discussion on the complex systems challenges associated with COVID-19 and pandemics in general.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 14, 2021).
Available in Other Form Introduction to complex systems.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
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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 Systems of Complex 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 Pandemics and Complex Systems
13.1 Pandemic Dynamics
13.2 Pandemic Models
13.3 Pandemic Anticipation
Case Study 13: Pandemic Inverse Problems and Inference
Further Reading
Sample Problems (Partial Solutions in Appendix E)
14 Concluding Thoughts
Further Reading
Part I Appendices
A Matrix Algebra
B Random Variables and Statistics
C System Decoupling
D Notation Overview
E End of Chapter Solutions
Index.

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