an INTRODUCTION TO COMPLEX SYSTEMS : society, ecology,and nonlinear dynamics.

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Preface to the Second Edition (2020) Preface to the First Edition (2016) Contents List of Examples 1 Introduction 1.1 How to Read This Text References 2 Global Warming and Climate Change Further Reading References 3 Systems Theory 3.1 Systems and Boundaries 3.2 Systems and Thermodynamics 3.3 Systems of Systems Further Reading Sample Problems (Partial Solutions in [solnsspschapspssystems]Appendix E) References 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 Further Reading Sample Problems (Partial Solutions in [solnsspschapspsdynamic]Appendix E) References 5 Linear Systems 5.1 Linearity 5.2 Modes 5.3 System Coupling 5.4 Dynamics 5.5 Control of Dynamic Systems 5.6 Non-Normal Systems Further Reading Sample Problems (Partial Solutions in [solnsspschapspslinear]Appendix E摥映數爠eflinksolnsspschapspslinearEE) References 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 Further Reading Sample Problems (Partial Solutions in [solnsspschapspsnonlin1]Appendix E) References 7 Nonlinear Dynamic Systems—Coupled 7.1 Linearization 7.2 2D Nonlinear Systems 7.3 Limit Cycles and Bifurcations 7.4 Control and Stabilization Further Reading Sample Problems (Partial Solutions in [chapspsnonlin2]Appendix E摥映數爠eflinksolnsspschapspsnonlin2EE) References 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 Further Reading Sample Problems (Partial Solutions in [solnsspschapspsspatial]Appendix E) References 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 Further Reading Sample Problems (Partial Solutions in [solnsspschapspspower]Appendix E) References 10 *-7ptComplex Systems 10.1 Spatial Nonlinear Models 10.2 Self-Organized Criticality 10.3 Emergence 10.4 Systems of Complex Systems Further Reading Sample Problems (Partial Solutions in [solnsspschapspscomplex]Appendix E) References 11 *-7ptObservation and Inference 11.1 Forward Models 11.2 Remote Measurement 11.3 Resolution 11.4 Inverse Problems Further Reading Sample Problems (Partial Solutions in [solnsspschapspsinference]Appendix E) References 12 Water 12.1 Ocean Acidification 12.2 Ocean Garbage 12.3 Groundwater Further Reading Sample Problems References 13 Pandemics and Complex Systems 13.1 Models of Virus Spread 13.2 Changing Pandemic Dynamics 13.3 Complex Systems and Healthcare Responses Further Reading Sample Problems (Partial Solutions in [solnsspschapspscovid]Appendix E) 14 Concluding Thoughts Further Reading Sample Problems (Partial Solutions in Appendix E摥映數爠eflinksolnsspschapspsconclEE) References Appendix A Matrix Algebra Further Reading Appendix B *-7ptRandom Variables and Statistics Further Reading Appendix C *-7ptSystem Decoupling C.1 Decoupling of Random Vectors C.2 Decoupling Spring-Mass without Friction C.3 Decoupling Spring-Mass with Friction C.4 Decoupling Linear Circuits C.5 Decoupling Heat Flow C.6 Decoupling Vibrating Strings C.7 Decoupling of Nonlinear Systems Appendix D *-7ptNotation Overview Appendix E *-7ptEnd of Chapter Solutions Index