A Resolution of the Puzzle of the Posi-nega Switch Mechanism in the Globally Coupled Map Lattice
| dc.creator | Shimada, T. | |
| dc.creator | Tsukada, S. | |
| dc.date | 2000-12-18 | |
| dc.date | 2000-12-19 | |
| dc.date.accessioned | 2026-07-07T05:33:13Z | |
| dc.date.available | 2026-07-07T05:33:13Z | |
| dc.description | We revisit the globally coupled map lattice (GCML). We use a family of universal 'curves of balance' between two conflicting tendencies in the model- the randomness in each map and the coherence due to an averaging interaction - and we locate the posi-nega switch region in the parameter space of the model. We clarify the mechanism of a basic posi-nega switch in the two-cluster regime, which guarantees no mixing of maps across their mean field in the chaotic transient process. We stress that a special attention must be paid for rounding-off errors; otherwise, there fatally occurs an artifitial numerical degeneracy of maps in a cluster due to a highly negative Lyapunov exponent of the clustor attractor. | |
| dc.description | 4 pages, 4 figures, submitted to Intern. Symposium on Artificial Life and Robotics(AROB),Jan.,2001. Revised for minor typographical errors | |
| dc.identifier | https://arxiv.org/abs/nlin/0012036 | |
| dc.identifier | http://arxiv.org/abs/nlin/0012036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79921 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | A Resolution of the Puzzle of the Posi-nega Switch Mechanism in the Globally Coupled Map Lattice | |
| dc.type | text |