Self-organization in Trees and Motifs of Two-Dimensional Chaotic Maps with Time Delay
| dc.creator | Levnajić, Zoran | |
| dc.creator | Tadić, Bosiljka | |
| dc.date | 2007-11-06 | |
| dc.date.accessioned | 2026-07-07T09:40:59Z | |
| dc.date.available | 2026-07-07T09:40:59Z | |
| dc.description | We study two-dimensional chaotic standard maps coupled along the edges of scale-free trees and tree-like subgraph (4-star) with a non-symplectic coupling and time delay between the nodes. Apart from the chaotic and regular 2-periodic motion, the coupled map system exhibits variety of dynamical effects in a wide range of coupling strengths. This includes dynamical localization, emergent periodicity, and appearance of strange non-chaotic attractors. Near the strange attractors we find long-range correlations in the intervals of return-times to specified parts of the phase space. We substantiate the analysis with the finite-time Lyapunov stability. We also give some quantitative evidence of how the small-scale dynamics at 4-star motifs participates in the genesis of the collective behavior at the whole network. | |
| dc.description | Submitted to Journal of Statistical Mechanics | |
| dc.identifier | https://arxiv.org/abs/0711.0822 | |
| dc.identifier | http://arxiv.org/abs/0711.0822 | |
| dc.identifier | Journal of Statistical Mechanics, P03003, 2008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161671 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Self-organization in Trees and Motifs of Two-Dimensional Chaotic Maps with Time Delay | |
| dc.type | text |