Phase clustering and transition to phase synchronization in a large number of coupled nonlinear oscillators

Zonghua Liu1, Ying-Cheng Lai2,1,3, Frank C. Hoppensteadt2,1
1Department of Mathematics, Arizona State University, Tempe, Arizona, 85287
2Department of Electrical Engineering, Center for Systems Science and Engineering Research, Arizona State University, Tempe, Arizona 85287
3Department of Physics and Astronomy, Arizona State University, Tempe, Arizona 85287

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M. G. Rosenblum, 1996, Phys. Rev. Lett., 76, 1804, 10.1103/PhysRevLett.76.1804

A. S. Pikovsky, 1996, Europhys. Lett., 34, 165, 10.1209/epl/i1996-00433-3

A. S. Pikovsky, 1997, Physica D, 104, 219, 10.1016/S0167-2789(96)00301-6

C. Schäfer, 1998, Nature (London), 392, 239, 10.1038/32567

K. J. Lee, 1998, Phys. Rev. Lett., 81, 321, 10.1103/PhysRevLett.81.321

E. Rosa, 1998, Phys. Rev. Lett., 80, 1642, 10.1103/PhysRevLett.80.1642

Z. Zheng, 1998, Phys. Rev. Lett., 81, 5318, 10.1103/PhysRevLett.81.5318

P. Tass, 1998, Phys. Rev. Lett., 81, 3291, 10.1103/PhysRevLett.81.3291

B. Blasius, 1999, Nature (London), 399, 354, 10.1038/20676

V. Andrade, 2000, Phys. Rev. E, 61, 3230, 10.1103/PhysRevE.61.3230

H. Fujigaki, 1996, Phys. Rev. E, 53, 3192, 10.1103/PhysRevE.53.3192

M. Palus, 1997, Phys. Lett. A, 235, 341, 10.1016/S0375-9601(97)00635-X

Z. Liu, 1997, Phys. Rev. E, 56, 7297, 10.1103/PhysRevE.56.7297

V. Makarenko, 1998, Proc. Natl. Acad. Sci. U.S.A., 26, 15

D. E. Postnov, 1999, Chaos, 9, 227, 10.1063/1.166394

D. E. Postnov, 1999, Phys. Rev. Lett., 83, 1942, 10.1103/PhysRevLett.83.1942

J. W. Shuai, 1999, Phys. Lett. A, 264, 289, 10.1016/S0375-9601(99)00816-6

A. Neiman, 1999, Phys. Rev. Lett., 83, 4896, 10.1103/PhysRevLett.83.4896

B. Hu, 2000, Phys. Rev. E, 61, R1001, 10.1103/PhysRevE.61.R1001

T. Yalcinkaya, 1997, Phys. Rev. Lett., 79, 3885, 10.1103/PhysRevLett.79.3885

U. Parlitz, 1996, Phys. Rev. E, 54, 2115, 10.1103/PhysRevE.54.2115

P. Horowitz, 1989, The Art of Electronics, 10.1119/1.16385

F. Hoppensteadt, 1997, Weakly Connected Neural Networks, 10.1007/978-1-4612-1828-9

O. E. Rössler, 1979, Phys. Lett. A, 71, 155, 10.1016/0375-9601(79)90150-6

C. Grebogi, 1983, Phys. Rev. Lett., 50, 935, 10.1103/PhysRevLett.50.935

C. Grebogi, 1985, Ergod. Theory Dyn. Syst., 5, 341, 10.1017/S014338570000300X

Y.-C. Lai, 1996, Phys. Rev. Lett., 77, 55, 10.1103/PhysRevLett.77.55

Y. Kuramoto, 1974, Prog. Theor. Phys. Suppl., 79, 223, 10.1143/PTPS.79.223