%0 Generic %1 citeulike:746 %A Lind, Pedro G. %A Gallas, Jason A. %A Herrmann, Hans J. %D 2004 %K agents social eni mobile dtl scalefree multiagent enidtl pysics networks %T Coherence in scale-free networks of chaotic maps %U http://arxiv.org/abs/cond-mat/0407806 %X We study fully synchronized states in scale-free networks of chaotic logistic maps as a function of both dynamical and topological parameters. Three different network topologies are considered: (i) random scale-free topology, (ii) deterministic pseudo-fractal scale-free network, and (iii) Apollonian network. For the random scale-free topology we find a coupling strength threshold beyond which full synchronization is attained. This threshold scales as $k^-\mu$, where $k$ is the outgoing connectivity and $\mu$ depends on the local nonlinearity. For deterministic scale-free networks coherence is observed only when the coupling strength is proportional to the neighbor connectivity. We show that the transition to coherence is of first-order and study the role of the most connected nodes in the collective dynamics of oscillators in scale-free networks.

@misc{citeulike:746, abstract = {We study fully synchronized states in scale-free networks of chaotic logistic maps as a function of both dynamical and topological parameters. Three different network topologies are considered: (i) random scale-free topology, (ii) deterministic pseudo-fractal scale-free network, and (iii) Apollonian network. For the random scale-free topology we find a coupling strength threshold beyond which full synchronization is attained. This threshold scales as $k^{-\mu}$, where $k$ is the outgoing connectivity and $\mu$ depends on the local nonlinearity. For deterministic scale-free networks coherence is observed only when the coupling strength is proportional to the neighbor connectivity. We show that the transition to coherence is of first-order and study the role of the most connected nodes in the collective dynamics of oscillators in scale-free networks.}, added-at = {2006-03-13T13:00:29.000+0100}, author = {Lind, Pedro G. and Gallas, Jason A. and Herrmann, Hans J.}, biburl = {https://www.bibsonomy.org/bibtex/2738bdce16097982be865582c43d08b5d/yish}, citeulike-article-id = {746}, eprint = {cond-mat/0407806}, interhash = {988e2496220d6adb2326d37857b82feb}, intrahash = {738bdce16097982be865582c43d08b5d}, keywords = {agents social eni mobile dtl scalefree multiagent enidtl pysics networks}, month = {November}, priority = {2}, timestamp = {2006-03-13T13:00:29.000+0100}, title = {Coherence in scale-free networks of chaotic maps}, url = {http://arxiv.org/abs/cond-mat/0407806}, year = 2004 }