Synchronization of Kuramoto model in a high-dimensional linear space

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 377, Issue 41, 2013, Pages 2939-2943

  Zhu, Jiandong ^a  

^a NANJING NORMAL UNIVERSITY   (China)

Author keywords

High dimensional space; Kuramoto model; Synchronization

Indexed keywords

HIGH DIMENSIONAL SPACES; HIGH-DIMENSIONAL; INITIAL STATE; INTERCONNECTION GRAPHS; KURAMOTO MODELS; LINEAR SPACES;

SYNCHRONIZATION;

EID: 84885174150     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2013.09.010     Document Type: Article

References (24)

1. Y. Kuramoto Self-entrainment of a population of coupled nonlinear oscillators Proceedings of International Symposium on Mathematical Problems in Theoretical Physics Lect. Notes Phys. vol. 39 1975 420 422
2. A. Winfree The Geometry of Biological Time 1980 Springer
3. D.C. Michaels, E.P. Matyas, and J. Jalife Mechanisms of sinoatrial pacemaker synchronization - a new hypothesis Circ. Res. 61 1987 704 714
4. F. Dörfler, and F. Bullo Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators Proceedings of the 2010 American Control Conference 2010 930 937
5. S.H. Strogatz From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators Physica D 143 2000 1 20
6. J. Acebron, L. Bonilla, C.P. Vicente, F. Ritort, and R. Spigler The Kuramoto model: a simple paradigm for synchronization phenomena Rev. Mod. Phys. 77 2005 137 185
7. D. Cumin, and C.P. Unsworth Generalising the Kuramoto model for the study of neuronal synchronisation in the brain Physica D 226 2007 181 196
8. S.-Y. Ha, T. Ha, and J.-H. Kim On the complete synchronization of the Kuramoto phase model Physica D 239 2010 1692 1700
9. J. Wu, L. Jiao, R. Li, and W. Chen Clustering dynamics of nonlinear oscillator network: Application to graph coloring problem Physica D 240 2011 1972 1978
10. Y.-P. Choi, S.-Y. Ha, and S.-B. Yun Complete synchronization of Kuramoto oscillators with finite inertia Physica D 240 2011 32 44
11. M. Brede Synchrony-optimized networks of non-identical Kuramoto oscillators Phys. Lett. A 372 2008 2618 2622
12. A. Jadbabaie, N. Motee, and M. Barahona On the stability of the Kuramoto model of coupled nonlinear oscillators Proceedings of 2004 American Control Conference 2004 4296 4301
13. N. Chopra, and M.W. Spong On exponential synchronization of Kuramoto oscillators IEEE Trans. Autom. Control 54 2009 353 357
14. P. Monzón, and F. Paganini Global considerations on the Kuramoto model of sinusoidally coupled oscillators Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005 3923 3928
15. E. Canale, and P. Monzón Almost global synchronization of symmetric Kuramoto coupled oscillators Systems Structure and Control 2008 InTech Education and Publishing 167 190
16. J. Zhu, J. Lü, and X. Yu Flocking of Multi-agent Non-holonomic Systems with Proximity Graphs IEEE Trans. Circuits Syst. I, Regul. Pap. 60 2013 199 210
17. R. Olfati-Saber Swarms on sphere: A programmable swarm with synchronous behaviors like oscillator networks Proceedings of the 45th IEEE Conference on Decision and Control 2006 5060 5066
18. R. Olfati-Saber, and R.M. Murray Consensus problems in networks of agents with switching topology and time-delays IEEE Trans. Autom. Control 49 2004 1520 1533
19. W. Ren, and R.W. Beard Consensus seeking in multi-agent systems under dynamically changing interaction topologies IEEE Trans. Autom. Control 50 2005 655 661
20. W. Ren, and E. Atkins Distributed multi-vehicle coordinated control via local information exchange Int. J. Robust Nonlinear Control 17 2007 1002 1033
21. J. Zhu, Y.-P. Tian, and J. Kuang On the general consensus protocol of multi-agent systems with double-integrator dynamics Linear Algebra Appl. 431 2009 701 715
22. S.E. Tuna Synchronizing linear systems via partial-state coupling Automatica 44 2008 2179 2184
23. Z. Lin, B. Francis, and M. Maggiore State agreement for continuous-time coupled nonlinear systems SIAM J. Control Optim. 46 2008 288 307
24. C. Godsil, and G. Royle Algebraic Graph Theory 2001 Springer-Verlag New York