Synchronization and spatiotemporal patterns in coupled phase oscillators on a weighted planar network.
作者： Yuki Kagawa , Atsuko Takamatsu
DOI: 10.1103/PHYSREVE.79.046216
关键词: Coupling (physics) 、 Phase (waves) 、 Weight distribution 、 Topology 、 Control theory 、 Synchronization 、 Artificial neural network 、 Mathematics 、 Weighting 、 Biological network 、 Oscillation
摘要: To reveal the relation between network structures found in two-dimensional biological systems, such as protoplasmic tube networks plasmodium of true slime mold, and spatiotemporal oscillation patterns emerged on networks, we constructed coupled phase oscillators weighted planar investigated their dynamics. Results showed that distribution edge weights strongly affects (i) propensity for global synchronization (ii) emerging ratios patterns, traveling concentric waves, even if total weight is fixed. In-phase locking, wave, wave were, respectively, observed most frequently uniformly weighted, center treelike, periphery ring-shaped networks. Controlling with given by local weighting (coupling) rules might be useful systems including plasmodial neural brain.
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S BOCCALETTI, V LATORA, Y MORENO, M CHAVEZ, D HWANG, Complex networks: Structure and dynamics Physics Reports. ,vol. 424, pp. 175- 308 ,(2006) , 10.1016/J.PHYSREP.2005.10.009
Grigory V. Osipov, Jürgen Kurths, Changsong Zhou, Synchronization in Oscillatory Networks Springer Series in Synergetics. ,(2007) , 10.1007/978-3-540-71269-5
Mauricio Barahona, Louis M. Pecora, Synchronization in small-world systems. Physical Review Letters. ,vol. 89, pp. 054101- ,(2002) , 10.1103/PHYSREVLETT.89.054101
Takashi Nishikawa, Adilson E. Motter, Ying-Cheng Lai, Frank C. Hoppensteadt, Heterogeneity in Oscillator Networks: Are Smaller Worlds Easier to Synchronize? Physical Review Letters. ,vol. 91, pp. 014101- ,(2003) , 10.1103/PHYSREVLETT.91.014101
A. E Motter, C. S Zhou, J Kurths, Enhancing complex-network synchronization EPL. ,vol. 69, pp. 334- 340 ,(2005) , 10.1209/EPL/I2004-10365-4
M. Chavez, D.-U. Hwang, A. Amann, H. G. E. Hentschel, S. Boccaletti, Synchronization is Enhanced in Weighted Complex Networks Physical Review Letters. ,vol. 94, pp. 218701- 218701 ,(2005) , 10.1103/PHYSREVLETT.94.218701
Duncan J. Watts, Steven H. Strogatz, Collective dynamics of small-world networks Nature. ,vol. 393, pp. 440- 442 ,(1998) , 10.1038/30918
Albert-László Barabási, Réka Albert, Emergence of Scaling in Random Networks Science. ,vol. 286, pp. 509- 512 ,(1999) , 10.1126/SCIENCE.286.5439.509
Changsong Zhou, Adilson E. Motter, Jürgen Kurths, Universality in the synchronization of weighted random networks. Physical Review Letters. ,vol. 96, pp. 034101- ,(2006) , 10.1103/PHYSREVLETT.96.034101
Juan G. Restrepo, Edward Ott, Brian R. Hunt, Emergence of coherence in complex networks of heterogeneous dynamical systems. Physical Review Letters. ,vol. 96, pp. 254103- ,(2006) , 10.1103/PHYSREVLETT.96.254103