Quick Search:
Prog. Theor. Phys. Vol. 87 No. 4 (1992) pp. 1055-1058
Letters
Localized Target Patterns in Oscillatory Media
Tsuyoshi Mizuguchi
Department of Physics, Kyoto University, Kyoto 606-01
(Received December 20, 1991)
Abstract:
Coupled complex Ginzburg-Landau equations representing interacting oscillatory fields were found to sustain a localized target pattern. The pattern emits phase waves from its center down to the boundary of localized structure. For a certain parameter range, we found analytically a one-dimensional solutin which consists of a pair of localized waves, one of which is the so-called hole solution. Our computer smulation confirmed the existence of such a solution, but even for wider range of parameter values than it expected from the analytical calculations.
URL :
http://ptp.ipap.jp/link?PTP/87/1055/
DOI : 10.1143/PTP.87.1055
References:
- A. N. Zaikin and A. M. Zhabotinsky, Nature 225 (1970), 535.
- A. T. Winfree, Science 181 (1973), 937
-
S. Nasuno, M. Sano and Y. Sawada, J. Phys. Soc. Jpn. 58 (1989), 1875[JPSJ].
- S. Nasuno and Y. Sawada, Prog. Theor. Phys. Suppl. No. 99 (1989), 450[PTP].
- M. Sano, K. Sato, S. Nasuno, Y. Sawada and H. Kokubo, “Dynamics of Localized Structure in a 2-Dimensional Cellular Pattern Created by Convection of Nematic Liquid Crystal”, preprint (1991).
- S. Koga and Y. Kuramoto, Prog. Theor. Phys. 63 (1980), 106[PTP].
- O. Thual and S. Fauve, J. de Phys. 49 (1988), 1829.
- H. Sakaguchi, Prog. Theor. Phys. 87 (1992), 241[PTP].
- H. Sakaguchi, Prog. Theor. Phys. 87 (1992), 1049[PTP].
- A. S. Mikhailov, Physica D55 (1992), 99.
-
P. Coullet and G. Iooss, Phys. Rev. Lett. 64 (1990), 866[APS].
-
K. Nozaki and N. Bekki, J. Phys. Soc. Jpn. 53 (1984), 1581[JPSJ].
- J. Lega, B. Janiaud, S. Jucquois and V. Croquette, “Localized Phase Jumps in Wave Trains”, preprint (1991).
- H. Sakaguchi, Prog. Theor. Phys. 85 (1991), 417[PTP].
Citing Article(s) :
-
Journal of the Physical Society of Japan 78 (2009) 084801
(4 pages) :
-
Synchronization of Two Target Patterns
-
Yusuke Yoshida and Yasuyuki Kimura
-
Progress of Theoretical Physics Vol. 95 No. 4 (1996) pp. 823-827
:
-
Localized Solutions to the Coupled Complex Ginzburg-Landau Equations
-
Hidetsugu Sakaguchi