메뉴 건너뛰기




Volumn 56, Issue 1 SUPPL. A, 1997, Pages 185-198

Self-replicating spots in reaction-diffusion systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000838693     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.56.185     Document Type: Article
Times cited : (100)

References (30)
  • 1
    • 0001102631 scopus 로고
    • J. E. Pearson, Science 261, 189 (1993). For computer generated movies of the dynamics see Roy Williams's web page: http://www.ccsf.caltech.edu/ismap/image.html
    • (1993) Science , vol.261 , pp. 189
    • Pearson, J.E.1
  • 7
    • 0000706482 scopus 로고
    • T. C. Lacalli, Philos. Trans. R. Soc. London 294, 547 (1981); A. B. Rovinsky, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden et al. (Plenum, New York, 1989); P. Arcuri and J. D. Murray, J. Math. Biol. 24, 141 (1986); J. Gorski and A. L. Kawczynski, Pol. J. Chem. 58, 61 (1985); B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 1 (1990) [Sov. Phys. Usp. 33, 3 (1990)]; A. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987); V. Petrov, S. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994); A. Doelman, T. Kaper, and P. Zegeling, Nonlinearity 10, 523 (1997); K. Krischer and X. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
    • (1981) Trans. R. Soc. London , vol.294 , pp. 547
    • Lacalli Philos, T.C.1
  • 8
    • 0003783422 scopus 로고
    • edited by A. V. Holden et al. Plenum, New York
    • T. C. Lacalli, Philos. Trans. R. Soc. London 294, 547 (1981); A. B. Rovinsky, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden et al. (Plenum, New York, 1989); P. Arcuri and J. D. Murray, J. Math. Biol. 24, 141 (1986); J. Gorski and A. L. Kawczynski, Pol. J. Chem. 58, 61 (1985); B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 1 (1990) [Sov. Phys. Usp. 33, 3 (1990)]; A. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987); V. Petrov, S. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994); A. Doelman, T. Kaper, and P. Zegeling, Nonlinearity 10, 523 (1997); K. Krischer and X. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
    • (1989) Nonlinear Wave Processes in Excitable Media
    • Rovinsky, A.B.1
  • 9
    • 0022649243 scopus 로고
    • T. C. Lacalli, Philos. Trans. R. Soc. London 294, 547 (1981); A. B. Rovinsky, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden et al. (Plenum, New York, 1989); P. Arcuri and J. D. Murray, J. Math. Biol. 24, 141 (1986); J. Gorski and A. L. Kawczynski, Pol. J. Chem. 58, 61 (1985); B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 1 (1990) [Sov. Phys. Usp. 33, 3 (1990)]; A. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987); V. Petrov, S. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994); A. Doelman, T. Kaper, and P. Zegeling, Nonlinearity 10, 523 (1997); K. Krischer and X. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
    • (1986) J. Math. Biol. , vol.24 , pp. 141
    • Arcuri, P.1    Murray, J.D.2
  • 10
    • 0006928038 scopus 로고
    • T. C. Lacalli, Philos. Trans. R. Soc. London 294, 547 (1981); A. B. Rovinsky, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden et al. (Plenum, New York, 1989); P. Arcuri and J. D. Murray, J. Math. Biol. 24, 141 (1986); J. Gorski and A. L. Kawczynski, Pol. J. Chem. 58, 61 (1985); B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 1 (1990) [Sov. Phys. Usp. 33, 3 (1990)]; A. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987); V. Petrov, S. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994); A. Doelman, T. Kaper, and P. Zegeling, Nonlinearity 10, 523 (1997); K. Krischer and X. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
    • (1985) Pol. J. Chem. , vol.58 , pp. 61
    • Gorski, J.1    Kawczynski, A.L.2
  • 11
    • 0002097683 scopus 로고
    • T. C. Lacalli, Philos. Trans. R. Soc. London 294, 547 (1981); A. B. Rovinsky, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden et al. (Plenum, New York, 1989); P. Arcuri and J. D. Murray, J. Math. Biol. 24, 141 (1986); J. Gorski and A. L. Kawczynski, Pol. J. Chem. 58, 61 (1985); B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 1 (1990) [Sov. Phys. Usp. 33, 3 (1990)]; A. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987); V. Petrov, S. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994); A. Doelman, T. Kaper, and P. Zegeling, Nonlinearity 10, 523 (1997); K. Krischer and X. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
    • (1990) Usp. Fiz. Nauk , vol.160 , pp. 1
    • Kerner, B.S.1    Osipov, V.V.2
  • 12
    • 84889515991 scopus 로고
    • T. C. Lacalli, Philos. Trans. R. Soc. London 294, 547 (1981); A. B. Rovinsky, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden et al. (Plenum, New York, 1989); P. Arcuri and J. D. Murray, J. Math. Biol. 24, 141 (1986); J. Gorski and A. L. Kawczynski, Pol. J. Chem. 58, 61 (1985); B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 1 (1990) [Sov. Phys. Usp. 33, 3 (1990)]; A. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987); V. Petrov, S. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994); A. Doelman, T. Kaper, and P. Zegeling, Nonlinearity 10, 523 (1997); K. Krischer and X. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
    • (1990) Sov. Phys. Usp. , vol.33 , pp. 3
  • 13
    • 0000987432 scopus 로고
    • T. C. Lacalli, Philos. Trans. R. Soc. London 294, 547 (1981); A. B. Rovinsky, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden et al. (Plenum, New York, 1989); P. Arcuri and J. D. Murray, J. Math. Biol. 24, 141 (1986); J. Gorski and A. L. Kawczynski, Pol. J. Chem. 58, 61 (1985); B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 1 (1990) [Sov. Phys. Usp. 33, 3 (1990)]; A. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987); V. Petrov, S. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994); A. Doelman, T. Kaper, and P. Zegeling, Nonlinearity 10, 523 (1997); K. Krischer and X. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
    • (1987) Rev. Mod. Phys. , vol.59 , pp. 941
    • Gurevich, A.1    Mints, R.G.2
  • 14
    • 0030101235 scopus 로고
    • T. C. Lacalli, Philos. Trans. R. Soc. London 294, 547 (1981); A. B. Rovinsky, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden et al. (Plenum, New York, 1989); P. Arcuri and J. D. Murray, J. Math. Biol. 24, 141 (1986); J. Gorski and A. L. Kawczynski, Pol. J. Chem. 58, 61 (1985); B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 1 (1990) [Sov. Phys. Usp. 33, 3 (1990)]; A. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987); V. Petrov, S. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994); A. Doelman, T. Kaper, and P. Zegeling, Nonlinearity 10, 523 (1997); K. Krischer and X. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
    • (1994) Philos. Trans. R. Soc. London, Ser. A , vol.347 , pp. 631
    • Petrov, V.1    Scott, S.2    Showalter, K.3
  • 15
    • 0000706319 scopus 로고    scopus 로고
    • T. C. Lacalli, Philos. Trans. R. Soc. London 294, 547 (1981); A. B. Rovinsky, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden et al. (Plenum, New York, 1989); P. Arcuri and J. D. Murray, J. Math. Biol. 24, 141 (1986); J. Gorski and A. L. Kawczynski, Pol. J. Chem. 58, 61 (1985); B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 1 (1990) [Sov. Phys. Usp. 33, 3 (1990)]; A. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987); V. Petrov, S. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994); A. Doelman, T. Kaper, and P. Zegeling, Nonlinearity 10, 523 (1997); K. Krischer and X. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
    • (1997) Nonlinearity , vol.10 , pp. 523
    • Doelman, A.1    Kaper, T.2    Zegeling, P.3
  • 16
    • 0001057754 scopus 로고
    • T. C. Lacalli, Philos. Trans. R. Soc. London 294, 547 (1981); A. B. Rovinsky, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden et al. (Plenum, New York, 1989); P. Arcuri and J. D. Murray, J. Math. Biol. 24, 141 (1986); J. Gorski and A. L. Kawczynski, Pol. J. Chem. 58, 61 (1985); B. S. Kerner and V. V. Osipov, Usp. Fiz. Nauk 160, 1 (1990) [Sov. Phys. Usp. 33, 3 (1990)]; A. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987); V. Petrov, S. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994); A. Doelman, T. Kaper, and P. Zegeling, Nonlinearity 10, 523 (1997); K. Krischer and X. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 3165
    • Krischer, K.1    Mikhailov, X.2
  • 17
    • 12044249583 scopus 로고
    • A. Hagberg and E. Meron, Phys. Rev. Lett. 72, 2494 (1994); Chaos 4, 477 (1994); C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. E 51, 3052 (1995).
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2494
    • Hagberg, A.1    Meron, E.2
  • 18
    • 0041111359 scopus 로고
    • A. Hagberg and E. Meron, Phys. Rev. Lett. 72, 2494 (1994); Chaos 4, 477 (1994); C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. E 51, 3052 (1995).
    • (1994) Chaos , vol.4 , pp. 477
  • 19
    • 0001764472 scopus 로고
    • A. Hagberg and E. Meron, Phys. Rev. Lett. 72, 2494 (1994); Chaos 4, 477 (1994); C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. E 51, 3052 (1995).
    • (1995) Phys. Rev. E , vol.51 , pp. 3052
    • Elphick, C.1    Hagberg, A.2    Meron, E.3
  • 22
    • 0015454185 scopus 로고
    • A. Gierer and H. Meinhardt, Kybernetic 12, 30 (1972); A. J. Koch and H. Meinhardt, Rev. Mod. Phys. 66, 1481 (1994).
    • (1972) Kybernetic , vol.12 , pp. 30
    • Gierer, A.1    Meinhardt, H.2
  • 23
  • 24
    • 85088810422 scopus 로고    scopus 로고
    • note
    • (1).
  • 25
    • 85088810327 scopus 로고    scopus 로고
    • note
    • -, but only two of them belong to the class that we are looking at.
  • 27
    • 0000203591 scopus 로고    scopus 로고
    • C. B. Muratov and V. V. Osipov, Phys. Rev. E 53, 3101 (1996); C. B. Muratov, ibid. 54, 3369 (1996).
    • (1996) Phys. Rev. E , vol.54 , pp. 3369
    • Muratov, C.B.1
  • 29
    • 85088810299 scopus 로고    scopus 로고
    • in) = 0 because it also leads to solutions such that q decays exponentially. This last choice might be better in order to apply solvability results such as those in [17]
    • in) = 0 because it also leads to solutions such that q decays exponentially. This last choice might be better in order to apply solvability results such as those in [17].


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.