Figures - overview - Chapter 1

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Figure 1.1: Two examples of early flow visualization by Leonardo da Vinci (images out of ``Frontiers of Scientific Visualization'' by Pickover and Teksbury [65]).
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Figure 1.2: (a) Cycles of evolution in 2D phase space, and  (b) evolution of variable x over time t (both computed for a predator-prey model by Lotka/Volterra).
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Figure 1.3: Different ways of viewing dynamical systems.
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Figure 1.4: (a) Visualizing a 1D class of 1D dynamical systems - the parameter is varied along the horizontal axis.  (b) Visualizing one specific 2D dynamical system.
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Figure 1.5: (a) Visualizing a local sub-space of interest [44].  (b) Typical bifurcation diagram.
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Figure 1.6: (a) Visualizing an abstraction of a three-dimensional dynamical system [44].  (b) Visualizing the results of local analysis [19].