Collective Chaos Induced by Structures of Complex Networks TeX Export

@misc{citeulike:331514, abstract = {Mapping a complex network of \$N\$coupled identical oscillators to a quantum system, the nearest neighbor level spacing (NNLS) distribution is used to identify collective chaos in the corresponding classical dynamics on the complex network. The classical dynamics on an Erdos-Renyi network with the wiring probability \$p\_{ER} \le \frac{1}{N}\$ is in the state of collective order, while that on an Erdos-Renyi network with \$p\_{ER} \> \frac{1}{N}\$ in the state of collective chaos. The dynamics on a WS Small-world complex network evolves from collective order to collective chaos rapidly in the region of the rewiring probability \$p\_r \in [0.0,0.1]\$, and then keeps chaotic up to \$p\_r = 1.0\$. The dynamics on a Growing Random Network (GRN) is in a special state deviates from order significantly in a way opposite to that on WS small-world networks. Each network can be measured by a couple values of two parameters \$(\beta ,\eta)\$.}, archivePrefix = {arXiv}, author = {Yang, Huijie and Zhao, Fangcui and Wang, Binghong}, citeulike-article-id = {331514}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0505086}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0505086}, day = {22}, eprint = {cond-mat/0505086}, keywords = {chaos-theory, coupled-oscillators, networks, small-world-networks}, month = {Sep}, posted-at = {2005-09-23 23:21:29}, priority = {2}, title = {Collective Chaos Induced by Structures of Complex Networks}, url = {http://arxiv.org/abs/cond-mat/0505086}, year = {2005} }

TY - ELEC ID - citeulike:331514 L3 - citeulike-article-id:331514 N2 - Mapping a complex network of $N$coupled identical oscillators to a quantum system, the nearest neighbor level spacing (NNLS) distribution is used to identify collective chaos in the corresponding classical dynamics on the complex network. The classical dynamics on an Erdos-Renyi network with the wiring probability $p_{ER} \le \frac{1}{N}$ is in the state of collective order, while that on an Erdos-Renyi network with $p_{ER} > \frac{1}{N}$ in the state of collective chaos. The dynamics on a WS Small-world complex network evolves from collective order to collective chaos rapidly in the region of the rewiring probability $p_r \in [0.0,0.1]$, and then keeps chaotic up to $p_r = 1.0$. The dynamics on a Growing Random Network (GRN) is in a special state deviates from order significantly in a way opposite to that on WS small-world networks. Each network can be measured by a couple values of two parameters $(\beta ,\eta)$. TI - Collective Chaos Induced by Structures of Complex Networks KW - chaos-theory KW - coupled-oscillators KW - networks KW - small-world-networks AU - Yang, Huijie AU - Zhao, Fangcui AU - Wang, Binghong PY - 2005/Sep/22/ UR - http://arxiv.org/abs/cond-mat/0505086 ER -