Chapter 4

ODE: Nonlinear Dynamics

Listing 4.1: Phase portrait of Brusselator
Listing 4.2: Oscillator model
Figure 4.9, 4.10: Nonlinear oscillator
Listing 4.2 plus: Nonlinear oscillator - 2
Figure 4.11, 4.12: Symbiosis model
Figure 4.14: Volterra model
Figure 4.15: Volterra model with competition
Figure 4.16: Modified logistic model
Listing 4.3: Finding attractors of logistic ODE
Listing 4.5: Scanning
Listing 4.6: Parameter continuation method
Figure 4.24: Example of sudden change of solution
Listing 4.7: Jacobian
Listing 4.8: Analyzing attractor stability
Figure 4.30 - 4.34: Hopf model
Figure 4.34, 4.35: Van der Pol model
Figure 4.41 - 4.44: Lorenz attractor
Figure 4.45, 4.46: Rikitake model
Listing 4.9: Poincare section
Listing 4.10: Stiff ODE: chemical kinetics

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