Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications
2012
Session Number:B3L-B
Session:
Number:423
Effects of a defect and drift on dissipative solitons
P. Parra, D. Gomila, M.A. Matías, P. Colet,
pp.423-426
Publication Date:
Online ISSN:2188-5079
[1] S. Koga and Y. Kuramoto, Prog. Theor. Phys. 63, 106 (1980)
[2] B. S. Kerner and V. V. Osipov, Autosolitons: A New Approach to Problems of Self-Organization and Turbulence (Kluwer, Dordrecht, 1994).
[3] V. K. Vanag and I. R. Epstein, Chaos 17, 037110 (2007).
[4] F. J. Niedernostheide, B. S. Kerner, and H. G. Purwins, Phys. Rev. B 46, 7559 (1992).
[5] P. B. Umbanhowar, F. Melo, and H. L. Swinney, Nature (London) 382, 793 (1996).
[6] J. J. Niemela, G. Ahlers, and D. S. Cannell, Phys. Rev. Lett. 64, 1365 (1990).
[7] O. Batiste and E. Knobloch, Phys. Rev. Lett. 95, 244501 (2005).
[8] O. Lejeune, M. Tlidi, and P. Couteron, Phys. Rev. E 66, 010901(R) (2002).
[9] W. J. Firth and C. O. Weiss, Opt. Photonics News 13, 55 (2002).
[10] Feature Section on Cavity Solitons, edited by L. A. Lugiato, IEEE J. Quant. Elect. 39, 2 (2003).
[11] N. N. Rosanov, Spatial Hysteresis and Optical Patterns, Springer Series in Synergetics (Springer, Berlin, 2002).
[12] S. Barland et al., Nature (London) 419, 699 (2002).
[13] Y. Tanguy, T. Ackemann, W. J. Firth, and R. Jger, Phys. Rev. Lett. 100, 013907 (2008).
[14] P. Coullet, C. Riera, and C. Tresser, Chaos 14, 193 (2004).
[15] W. J. Firth, A. Lord, and A. J. Scroggie, Phys. Scr., T67, 12 (1996); W. J. Firth, G. K. Harkness, A. Lord, J. McSloy, D. Gomila, and P. Colet, J. Opt. Soc. Am. B 19, 747 (2002).
[16] V. K. Vanag and I. R. Epstein, Phys. Rev. Lett. 92, 128301 (2004).
[17] D. Gomila, M. A. Matías, and P. Colet, Phys. Rev. Lett. 94, 063905 (2005); D. Gomila, A. Jacobo, M. A. Matías, and P. Colet, Phys. Rev. E 75, 026217 (2007).
[18] A. Jacobo, D. Gomila, M. A. Matías, and P. Colet, Phys. Rev. A 78, 053821 (2008); New J. Physics 14, 013040 (2012).
[19] A. Winfree, The Geometry of Biological Time 2nd edn (Springer, New York, 2001).
[20] P. Woods and A. Champneys, Physica D 129, 147 (1999).
[21] E. Caboche, et al., Phys. Rev. Lett. 102 163901 (2009).
[22] R. Montagne, E. Hernández-García, A. Amengual, and M. San Miguel, Phys.Rev.E 56,151 (1997).
[23] J. M. McSloy,W.J.Firth, G. K. Harkness, and G. L. Oppo, Phys.Rev.E 66,046606 (2002).
[24] E. M. Izhikevich, Dynamical Systems in Neuro-science: the geometry of excitability and bursting, (The MIT Press, Cambridge, Massachusetts, 2007)