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
Famous quotes containing the words visual and/or phenomena:
“Unlike any other visual image, a photograph is not a rendering, an imitation or an interpretation of its subject, but actually a trace of it. No painting or drawing, however naturalist, belongs to its subject in the way that a photograph does.”
—John Berger (b. 1926)
“Hence anyone who seeks for the true cause of miracles, and strives to understand natural phenomena as an intelligent being, and not to gaze at them as a fool, is set down and denounced as a impious heretic by those, whom the masses adore as the interpreters of nature and the gods.”
—Baruch (Benedict)