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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“The phenomena of the year take place every day in a pond on a small scale. Every morning, generally speaking, the shallow water is being warmed more rapidly than the deep, though it may not be made so warm after all, and every evening it is being cooled more rapidly until the morning. The day is an epitome of the year. The night is the winter, the morning and evening are the spring and fall, and the noon is the summer. The cracking and booming of the ice indicate a change of temperature.”
—Henry David Thoreau (1817–1862)