Complexity Explorer

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Complexity Explorer provides online courses and educational materials about complexity science. Complexity Explorer is an education project of the Santa Fe Institute - the world headquarters for complexity science. Find out more at complexityexplorer.org and santafe.edu

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A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Lyapunov Function

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Lyapunov Function Complexity Explorer

302 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: 1d Linear Delay Equation • Stability Analysis Pt 1

A Visual Approach to Nonlinear Dynamics: Unit 3: 1d Linear Delay Equation • Stability Analysis Pt 1 Complexity Explorer

241 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • Basic Features of Iteration Pt. 2

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • Basic Features of Iteration Pt. 2 Complexity Explorer

254 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Non-Periodic Regime

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Non-Periodic Regime Complexity Explorer

74 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: 1d Linear Delay Equation • Stability Analysis Pt 2

A Visual Approach to Nonlinear Dynamics: Unit 3: 1d Linear Delay Equation • Stability Analysis Pt 2 Complexity Explorer

71 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Summary

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Summary Complexity Explorer

65 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Stability of Fixed Points 2

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Stability of Fixed Points 2 Complexity Explorer

74 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • Phenomenology of Bifurcations

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • Phenomenology of Bifurcations Complexity Explorer

222 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: Driven Damped Pendulum • Nonlinear Regime

A Visual Approach to Nonlinear Dynamics: Unit 4: Driven Damped Pendulum • Nonlinear Regime Complexity Explorer

157 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Basic Properties Lorenz Equation

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Basic Properties Lorenz Equation Complexity Explorer

115 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: Chaos and Lyapunov Exponents

A Visual Approach to Nonlinear Dynamics: Unit 3: Chaos and Lyapunov Exponents Complexity Explorer

163 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: 1d Linear Delay Equation • Delay Dynamical Systems

A Visual Approach to Nonlinear Dynamics: Unit 3: 1d Linear Delay Equation • Delay Dynamical Systems Complexity Explorer

81 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: Driven Damped Pendulum • Introduction

A Visual Approach to Nonlinear Dynamics: Unit 4: Driven Damped Pendulum • Introduction Complexity Explorer

133 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • Basic Features of Iteration Pt. 1

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • Basic Features of Iteration Pt. 1 Complexity Explorer

127 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: 3d Systems • General Discussion

A Visual Approach to Nonlinear Dynamics: Unit 4: 3d Systems • General Discussion Complexity Explorer

71 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Stability of Fixed Points 1

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Stability of Fixed Points 1 Complexity Explorer

98 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: General Features • Motivation

A Visual Approach to Nonlinear Dynamics: Unit 3: General Features • Motivation Complexity Explorer

70 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Fixed Points

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Fixed Points Complexity Explorer

66 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Stability of Fixed Points

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Stability of Fixed Points Complexity Explorer

72 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Introduction to 2-Species

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Introduction to 2-Species Complexity Explorer

77 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • Fixed Point Analysis for 2 Cycle

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • Fixed Point Analysis for 2 Cycle Complexity Explorer

72 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Special Case of α + β = 2

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Special Case of α + β = 2 Complexity Explorer

54 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Motivation

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Motivation Complexity Explorer

98 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Lorenz Map

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Lorenz Map Complexity Explorer

394 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • FP Analysis and the 1st Bifurcation

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • FP Analysis and the 1st Bifurcation Complexity Explorer

73 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: Driven Damped Pendulum • Small Forcing Limit

A Visual Approach to Nonlinear Dynamics: Unit 4: Driven Damped Pendulum • Small Forcing Limit Complexity Explorer

68 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: Linear vs. Nonlinear & Continuous vs. Noncontinuous

A Visual Approach to Nonlinear Dynamics: Unit 3: Linear vs. Nonlinear & Continuous vs. Noncontinuous Complexity Explorer

88 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Trajectories in Chaotic Regime

A Visual Approach to Nonlinear Dynamics: Unit 4: Lorenz Model • Trajectories in Chaotic Regime Complexity Explorer

87 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • 3 Cycle Dynamics

A Visual Approach to Nonlinear Dynamics: Unit 3: Logistic Map • 3 Cycle Dynamics Complexity Explorer

54 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Introduction to 3-Species

A Visual Approach to Nonlinear Dynamics: Unit 4: 3-Species Competition • Introduction to 3-Species Complexity Explorer

56 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Competition-Mutualism • Nullclines

A Visual Approach to Nonlinear Dynamics: Unit 2: Competition-Mutualism • Nullclines Complexity Explorer

70 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • Graph of Fixed Points

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • Graph of Fixed Points Complexity Explorer

72 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • General Linear Analysis

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • General Linear Analysis Complexity Explorer

93 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • Informal Introduction

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • Informal Introduction Complexity Explorer

115 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Competition-Mutualism • Linearized Transformation

A Visual Approach to Nonlinear Dynamics: Unit 2: Competition-Mutualism • Linearized Transformation Complexity Explorer

68 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Types of 2d Bifurcations

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Types of 2d Bifurcations Complexity Explorer

39 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 1: Spruce Budworm Outbreak • Dynamics

A Visual Approach to Nonlinear Dynamics: Unit 1: Spruce Budworm Outbreak • Dynamics Complexity Explorer

130 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Two Species Model • Asymmetric Interaction Part 1

A Visual Approach to Nonlinear Dynamics: Unit 2: Two Species Model • Asymmetric Interaction Part 1 Complexity Explorer

109 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Bifurcations in 2d

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Bifurcations in 2d Complexity Explorer

83 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Two Species Model • Asymmetric Interaction Part 2

A Visual Approach to Nonlinear Dynamics: Unit 2: Two Species Model • Asymmetric Interaction Part 2 Complexity Explorer

57 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 1: 1d Systems • Catastrophes Part 2

A Visual Approach to Nonlinear Dynamics: Unit 1: 1d Systems • Catastrophes Part 2 Complexity Explorer

142 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Hopf Bifurcation

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Hopf Bifurcation Complexity Explorer

83 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • Example 2

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • Example 2 Complexity Explorer

73 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • Example 1

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • Example 1 Complexity Explorer

91 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: van der Pol Oscillator Part 2

A Visual Approach to Nonlinear Dynamics: Unit 2: van der Pol Oscillator Part 2 Complexity Explorer

75 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 1: Spruce Budworm Outbreak • Introduction

A Visual Approach to Nonlinear Dynamics: Unit 1: Spruce Budworm Outbreak • Introduction Complexity Explorer

137 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Super Critical Hopf Bifurcation

A Visual Approach to Nonlinear Dynamics: Unit 2: Super Critical Hopf Bifurcation Complexity Explorer

77 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Glycolysis Model

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Glycolysis Model Complexity Explorer

84 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Glycolysis Model Part 2

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Glycolysis Model Part 2 Complexity Explorer

62 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Competition-Mutualism • Two Interacting Species

A Visual Approach to Nonlinear Dynamics: Unit 2: Competition-Mutualism • Two Interacting Species Complexity Explorer

81 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Competition-Mutualism • Summary

A Visual Approach to Nonlinear Dynamics: Unit 2: Competition-Mutualism • Summary Complexity Explorer

52 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: 2d Systems • Introduction

A Visual Approach to Nonlinear Dynamics: Unit 2: 2d Systems • Introduction Complexity Explorer

130 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: van der Pol Oscillator Part 1

A Visual Approach to Nonlinear Dynamics: Unit 2: van der Pol Oscillator Part 1 Complexity Explorer

151 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Two Species Model • Prey-Predator Interaction

A Visual Approach to Nonlinear Dynamics: Unit 2: Two Species Model • Prey-Predator Interaction Complexity Explorer

68 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Features 2d Trajectories

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Features 2d Trajectories Complexity Explorer

95 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 1: Periodic Systems • Firefly Synchronization Part 1

A Visual Approach to Nonlinear Dynamics: Unit 1: Periodic Systems • Firefly Synchronization Part 1 Complexity Explorer

168 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 1: 1d Systems • Catastrophes Part 3

A Visual Approach to Nonlinear Dynamics: Unit 1: 1d Systems • Catastrophes Part 3 Complexity Explorer

130 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 1: Periodic Systems • Firefly Synchronization Part 2

A Visual Approach to Nonlinear Dynamics: Unit 1: Periodic Systems • Firefly Synchronization Part 2 Complexity Explorer

134 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • Types of Fixed Points

A Visual Approach to Nonlinear Dynamics: Unit 2: Linearized Analysis • Types of Fixed Points Complexity Explorer

76 views - 7 months ago

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Example of Limit Cycle

A Visual Approach to Nonlinear Dynamics: Unit 2: Cycles and Bifurcations • Example of Limit Cycle Complexity Explorer

79 views - 7 months ago