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Volumn 130, Issue 1-2, 1999, Pages 73-104

A skeleton structure of self-replicating dynamics

Author keywords

Pulse solution; Reaction diffusion system; Self replicating pattern; Turing pattern; Wave splitting

Indexed keywords


EID: 0347038753     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(99)00010-X     Document Type: Article
Times cited : (156)

References (15)
  • 1
    • 0001102631 scopus 로고
    • Complex patterns in a simple system
    • J.E. Pearson, Complex patterns in a simple system, Science 216 (1993) 189-192.
    • (1993) Science , vol.216 , pp. 189-192
    • Pearson, J.E.1
  • 2
    • 0001360757 scopus 로고
    • Dynamics of self-replicating patterns in reaction diffusion systems
    • W.N. Reynolds, J.E. Pearson, S. Ponce-Dawson, Dynamics of self-replicating patterns in reaction diffusion systems, Phys. Rev. Lett. 72(17) (1994) 1120-1123.
    • (1994) Phys. Rev. Lett. , vol.72 , Issue.17 , pp. 1120-1123
    • Reynolds, W.N.1    Pearson, J.E.2    Ponce-Dawson, S.3
  • 4
    • 0030101235 scopus 로고
    • Excitability, wave reflection and wave splitting in a cubic autocatalysis reaction-diffusion system
    • V. Petrov, S.K. Scott, K. Showalter, Excitability, wave reflection and wave splitting in a cubic autocatalysis reaction-diffusion system, Phil. Trans. Roy. Soc. Lond. A 347 (1994) 631-642.
    • (1994) Phil. Trans. Roy. Soc. Lond. A , vol.347 , pp. 631-642
    • Petrov, V.1    Scott, S.K.2    Showalter, K.3
  • 5
    • 21844521220 scopus 로고
    • Experimental study of stationary turing patterns and their interaction with traveling waves in a chemical system
    • P. De Kepper, J.J. Perraud, B. Rudovics, E. Dulos, Experimental study of stationary turing patterns and their interaction with traveling waves in a chemical system, Int. J. Bifurcation Chaos 4(5) (1994) 1215-1231.
    • (1994) Int. J. Bifurcation Chaos , vol.4 , Issue.5 , pp. 1215-1231
    • De Kepper, P.1    Perraud, J.J.2    Rudovics, B.3    Dulos, E.4
  • 6
    • 0028242433 scopus 로고
    • Experimental observation of self-replicating spots in a reaction-diffusion system
    • K.J. Lee, W.D. McCormick, J.E. Pearson, H.L. Swinney, Experimental observation of self-replicating spots in a reaction-diffusion system, Nature 369 (1994) 215-218.
    • (1994) Nature , vol.369 , pp. 215-218
    • Lee, K.J.1    McCormick, W.D.2    Pearson, J.E.3    Swinney, H.L.4
  • 7
    • 35949006727 scopus 로고
    • Lamellar structures and self-replicating spots in a reaction-diffusion system
    • K.J. Lee, H.L. Swinney, Lamellar structures and self-replicating spots in a reaction-diffusion system, Phys. Rev. E 51 (1995) 1899-1915.
    • (1995) Phys. Rev. E , vol.51 , pp. 1899-1915
    • Lee, K.J.1    Swinney, H.L.2
  • 8
    • 0000838693 scopus 로고    scopus 로고
    • Self-replicating spots in reaction-diffusion systems
    • W.N. Reynolds, S. Ponce-Dawson, J.E. Pearson, Self-replicating spots in reaction-diffusion systems, Phys. Rev. E 56(1) (1997) 185-198.
    • (1997) Phys. Rev. E , vol.56 , Issue.1 , pp. 185-198
    • Reynolds, W.N.1    Ponce-Dawson, S.2    Pearson, J.E.3
  • 9
    • 0000706319 scopus 로고    scopus 로고
    • Pattern formation in the one-dimensional GS model
    • A. Doelman, T.J. Kaper, P.A. Zegeling, Pattern formation in the one-dimensional GS model, Nonlinearity 10 (1997) 523-563.
    • (1997) Nonlinearity , vol.10 , pp. 523-563
    • Doelman, A.1    Kaper, T.J.2    Zegeling, P.A.3
  • 11
    • 0347460831 scopus 로고    scopus 로고
    • A hidden bifurcational structure for self-replicating dynamics
    • Y. Nishiura, D. Ueyama, A hidden bifurcational structure for self-replicating dynamics, ACH-Models in Chemistry 135(3) (1998) 343-360.
    • (1998) ACH-Models in Chemistry , vol.135 , Issue.3 , pp. 343-360
    • Nishiura, Y.1    Ueyama, D.2
  • 12
    • 0021310291 scopus 로고
    • Autocatalytic reactions in the isothermal continuous stirred tank reactor: Oscillations and instabilities in the system A + 2B → 3B, B → C
    • P. Gray, S.K. Scott, Autocatalytic reactions in the isothermal continuous stirred tank reactor: oscillations and instabilities in the system A + 2B → 3B, B → C, Chem. Eng. Sci. 39 (1984) 1087-1097.
    • (1984) Chem. Eng. Sci. , vol.39 , pp. 1087-1097
    • Gray, P.1    Scott, S.K.2
  • 15
    • 0002432316 scopus 로고
    • A picture of the global bifurcation diagram in ecological interacting and diffusing systems
    • H. Fujii, M. Mimura, Y. Nishiura, A picture of the global bifurcation diagram in ecological interacting and diffusing systems, Physica D 5 (1982) 1-42.
    • (1982) Physica D , vol.5 , pp. 1-42
    • Fujii, H.1    Mimura, M.2    Nishiura, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.