Global synchronization properties for different classes of underlying interconnection graphs for Kuramoto coupled oscillators

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5899 LNCS, Issue , 2009, Pages 104-111

  Canale, Eduardo ^a   Monzón, Pablo ^a   Robledo, Franco ^a  

^a Instituto de Matematica y Estadistica Prof Ing Rafael Laguardia   (Uruguay)

Author keywords

Coupled oscillators; Network synchronization; Nonlinear systems; Synchronizing graphs

Indexed keywords

GRAPHIC METHODS; NONLINEAR SYSTEMS; OSCILLATORS (MECHANICAL);

COMPLETE K-PARTITE GRAPHS; COUPLED OSCILLATORS; DIFFERENT CLASS; GLOBAL SYNCHRONIZATION; INTERCONNECTION GRAPHS; NETWORK SYNCHRONIZATION; NEW RESULTS; SYNCHRONIZING GRAPHS;

SYNCHRONIZATION;

EID: 78650695938     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-10509-8_13     Document Type: Conference Paper

References (11)

1. Kuramoto, Y.: International symposium on mathematical problems in theoretical physics. Lecture notes in Physics 39, 420 (1975)
2. Strogatz, S.: Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry and Engineering. Perseus, Cambridge (1994)
3. Acebrón, J., Bonilla, L., Pérez, C., Ritort, F., Spigler, R.: The Kuramoto model: A simple paradigm for synchronization. Review of Modern Physics 77, 137-185 (2005) (Pubitemid 41490657)
4. Jadbabaie, A., Motee, N., Barahona, M.: On the stability of the Kuramoto model of coupled nonlinear oscillators. In: ACC (2004)
5. Monzón, P.: Almost global stability of dynamical systems. Ph.D. Thesis, Udelar, Uruguay (2006)
6. Canale, E., Monzón, P.: Gluing Kuramoto coupled oscillators. In: Proceedings of the 46th IEEE CDC, New Orleans, pp. 4596-4601 (2007)
7. Canale, E., Monzón, P.: On the Characterization of Families of Synchronizing Graphs for Kuramoto Coupled Oscillators. In: 1st IFAC NECSYS 2009, Venice (2009)
8. Godsil, C., Royle, G.: Algebraic Graph Theory. Series Texts in Mathematics, vol. 207. Springer, New York (2001)
9. Monma, C.L., Munson, B.S., Pulleyblank, R.: Minimum-Weight Two-Connected Spanning Networks. Mathematical Programming 46, 153-171 (1990)
10. Robledo, F.: GRASP Heuristics for Wide Area Network Design. Ph.D. Thesis, IRISA/INRIA Université de Rennes I (2005)
11. Khalil, H.: Nonlinear Systems. Prentice-Hall, Englewood Cliffs (1996)