Visual Phenomena
The unique qualitative classes listed above can be visualized. By applying the Kaneko 1983 model to the logistic map, several of the CML qualitative classes may be observed. These are demonstrated below, note the unique parameters:
| Frozen Chaos | Pattern Selection | Chaotic Brownian Motion of Defect |
| Figure 1: Sites are divided into non-uniform clusters, where the divided patterns are regarded as attractors. Sensitivity to initial conditions exist relative to a < 1.5. | Figure 2: Near uniform sized clusters (a = 1.71, ε = 0.4). | Figure 3: Deflects exist in the system and fluctuate chaotically akin to Brownian motion (a = 1.85, ε = 0.1). |
| Defect Turbulence | Spatiotemporal Intermittency I | Spatiotemporal Intermittency II |
| Figure 4: Many defects are generated and turbulently collide (a = 1.895, ε = 0.1). | Figure 5: Each site transits between a coherent state and chaotic state intermittently (a = 1.75, ε = 0.6), Phase I. | Figure 6: The coherent state, Phase II. |
| Fully Developed Spatiotemporal Chaos | Traveling Wave | |
| Figure 7: Most sites independently oscillate chaotically (a = 2.00, ε = 0.3). | Figure 8: The wave of clusters travels at 'low' speeds (a = 1.47, ε = 0.5). |
Read more about this topic: Coupled Map Lattice
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“All the phenomena which surround him are simple and grand, and there is something impressive, even majestic, in the very motion he causes, which will naturally be communicated to his own character, and he feels the slow, irresistible movement under him with pride, as if it were his own energy.”
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