메뉴 건너뛰기




Volumn 135, Issue 1-2, 2000, Pages 79-97

Symmetry and chaos in the complex Ginzburg-Landau equation. II. Translational symmetries

Author keywords

Blowout bifurcation; Chaotic solutions; Complex Ginzburg Landau equation; Isotypic component; Symmetry

Indexed keywords


EID: 0040333931     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(99)00046-9     Document Type: Article
Times cited : (10)

References (16)
  • 1
    • 33744891845 scopus 로고
    • Bubbling of attractors and synchronisation of oscillators
    • Ashwin P., Buescu J., Stewart I. Bubbling of attractors and synchronisation of oscillators. Phys. Lett. A. 193:1994;126-139.
    • (1994) Phys. Lett. A. , vol.193 , pp. 126-139
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 2
    • 0038880027 scopus 로고
    • Analysis and computation of symmetry-breaking bifurcation and scaling laws using group theoretic methods
    • Aston P.J. Analysis and computation of symmetry-breaking bifurcation and scaling laws using group theoretic methods. SIAM J. Math. Anal. 22:1991;181-212.
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 181-212
    • Aston, P.J.1
  • 4
    • 21844522241 scopus 로고
    • Symmetry breaking bifurcations of chaotic attractors
    • Aston P.J., Dellnitz M. Symmetry breaking bifurcations of chaotic attractors. Int. J. Bifn. Chaos. 5:1995;1643-1676.
    • (1995) Int. J. Bifn. Chaos , vol.5 , pp. 1643-1676
    • Aston, P.J.1    Dellnitz, M.2
  • 5
    • 0039373551 scopus 로고    scopus 로고
    • Symmetry and chaos in the complex Ginzburg-Landau equation. I: Reflectional symmetries
    • in press
    • P.J. Aston, C.R. Laing, Symmetry and chaos in the complex Ginzburg-Landau equation. I: Reflectional symmetries, Dyn. Stab. Systems, in press.
    • Dyn. Stab. Systems
    • Aston, P.J.1    Laing, C.R.2
  • 6
    • 84974336691 scopus 로고
    • The disintegration of wave trains on deep water. Part I. Theory
    • T.B. Benjamin, J.E. Feir, The disintegration of wave trains on deep water. Part I. Theory, J. Fluid Mech. 27 (1967) 417-430.
    • (1967) J. Fluid Mech. , vol.27 , pp. 417-430
    • Benjamin, T.B.1    Feir, J.E.2
  • 7
    • 0000548290 scopus 로고    scopus 로고
    • Non-normal parameter blowout bifurcation in a truncated mean field dynamo
    • E. Covas, P. Ashwin, R. Tavakol, Non-normal parameter blowout bifurcation in a truncated mean field dynamo, Phys. Rev. E 56 (1997) 6451-6458.
    • (1997) Phys. Rev. e , vol.56 , pp. 6451-6458
    • Covas, E.1    Ashwin, P.2    Tavakol, R.3
  • 11
    • 0000618153 scopus 로고
    • Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
    • Hyman J.M., Nicolaenko B., Zaleski S. Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Physica D. 23:1986;265-292.
    • (1986) Physica D , vol.23 , pp. 265-292
    • Hyman, J.M.1    Nicolaenko, B.2    Zaleski, S.3
  • 12
    • 0017862380 scopus 로고
    • The instabilities of gravity waves of finite amplitude in deep water, II. Subharmonics
    • Longuet-Higgins M.S. The instabilities of gravity waves of finite amplitude in deep water, II. Subharmonics. Proc. Roy. Soc. Lond. A. 360:1978;489-505.
    • (1978) Proc. Roy. Soc. Lond. a , vol.360 , pp. 489-505
    • Longuet-Higgins, M.S.1
  • 13
    • 33847582932 scopus 로고
    • Blowout bifurcations: The occurrence of riddled basins and on-off intermittency
    • Ott E., Sommerer J. Blowout bifurcations: the occurrence of riddled basins and on-off intermittency. Phys. Lett. A. 188:1994;39-47.
    • (1994) Phys. Lett. a , vol.188 , pp. 39-47
    • Ott, E.1    Sommerer, J.2
  • 14
    • 0019245175 scopus 로고
    • Long wavelength bifurcation of gravity waves on deep water
    • Saffman P.G. Long wavelength bifurcation of gravity waves on deep water. J. Fluid Mech. 101:1980;567-581.
    • (1980) J. Fluid Mech. , vol.101 , pp. 567-581
    • Saffman, P.G.1
  • 16
    • 0002256723 scopus 로고
    • Stability theory of synchronised motion in coupled-oscillator systems
    • Yamada H., Fujisaka T. Stability theory of synchronised motion in coupled-oscillator systems. Prog. Theor. Phys. 69:1983;32-47.
    • (1983) Prog. Theor. Phys. , vol.69 , pp. 32-47
    • Yamada, H.1    Fujisaka, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.