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Volumn 15, Issue 2, 1998, Pages 317-330

On the structure of steady solutions for the kinematic model of spiral waves in excitable media

Author keywords

Excitable media; Kinematic model; Spiral waves

Indexed keywords


EID: 0039070938     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167407     Document Type: Article
Times cited : (16)

References (27)
  • 1
    • 0030564738 scopus 로고    scopus 로고
    • Bifurcation of vortecies in the light-sensitive oscillatory Belousov-Zhabotinsky medium
    • [ 1 ] R.R. Aliev, T. Amemiya and T. Yamaguchi, Bifurcation of vortecies in the light-sensitive oscillatory Belousov-Zhabotinsky medium. Chem. Phys. Lett., 257 (1996), 552-556.
    • (1996) Chem. Phys. Lett. , vol.257 , pp. 552-556
    • Aliev, R.R.1    Amemiya, T.2    Yamaguchi, T.3
  • 3
    • 85034477461 scopus 로고    scopus 로고
    • Long range interaction of vortices in a chemical active media
    • in press
    • [ 3 ] R.R. Aliev, V.A. Davydov and T. Yamaguchi, Long range interaction of vortices in a chemical active media. Thermochim. Acta, in press.
    • Thermochim. Acta
    • Aliev, R.R.1    Davydov, V.A.2    Yamaguchi, T.3
  • 4
    • 0001515911 scopus 로고    scopus 로고
    • Experimental determination of the dispersion relation for spiral waves
    • [ 4 ] A. Belmonte and J.-M. Flesselles, Experimental determination of the dispersion relation for spiral waves. Phys. Rev. Lett., 77 (1996), 1174-1177.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1174-1177
    • Belmonte, A.1    Flesselles, J.-M.2
  • 5
    • 22244443853 scopus 로고    scopus 로고
    • Exact solutions for the kinematic model of autowaves in two-dimensional excitable media
    • [ 5 ] P.K. Brazhnik, Exact solutions for the kinematic model of autowaves in two-dimensional excitable media. Physica, D 94 (1996), 205-220.
    • (1996) Physica, D , vol.94 , pp. 205-220
    • Brazhnik, P.K.1
  • 6
    • 44949270479 scopus 로고
    • Kinematical theory of spiral waves in excitable media: Comparison with numerical computations
    • [ 6 ] P.K. Brazhnik, V.A. Davydov and A.S. Mikhailov, Kinematical theory of spiral waves in excitable media: comparison with numerical computations. Physica, D 52 (1991), 379-397.
    • (1991) Physica, D , vol.52 , pp. 379-397
    • Brazhnik, P.K.1    Davydov, V.A.2    Mikhailov, A.S.3
  • 8
    • 84931472342 scopus 로고
    • Kinematics of autowaves structure in excitable media
    • [ 8 ] V.A. Davydov, V.S. Zykov and A.S. Mikhailov, Kinematics of autowaves structure in excitable media (English translation). Sov. Phys. Usp., 34 (1991), 665-684.
    • (1991) Sov. Phys. Usp. , vol.34 , pp. 665-684
    • Davydov, V.A.1    Zykov, V.S.2    Mikhailov, A.S.3
  • 10
    • 0002591016 scopus 로고
    • Propagator-controller systems and chemical patterns
    • eds. C. Vidal and A. Pacault, Springer-Verlag, Berlin
    • P.C. Fife, Propagator-controller systems and chemical patterns. Non-Equilibrium Dynamics in Chemical Systems (eds. C. Vidal and A. Pacault), Springer-Verlag, Berlin, 1984, 76-88.
    • (1984) Non-Equilibrium Dynamics in Chemical Systems , pp. 76-88
    • Fife, P.C.1
  • 11
    • 0001601260 scopus 로고
    • Understanding the patterns in the BZ reagent
    • P.C. Fife, Understanding the patterns in the BZ reagent. J. Stat. Phys., 39 (1985), 687-703.
    • (1985) J. Stat. Phys. , vol.39 , pp. 687-703
    • Fife, P.C.1
  • 12
    • 0011271708 scopus 로고
    • The eikonal equation: Stability of reaction-diffusion waves on a sphere
    • J. Gomatam and D.A. Hodson, The eikonal equation: stability of reaction-diffusion waves on a sphere. Physica, D 49 (1991), 82-89.
    • (1991) Physica, D , vol.49 , pp. 82-89
    • Gomatam, J.1    Hodson, D.A.2
  • 13
    • 0032378271 scopus 로고    scopus 로고
    • Shape of spirals
    • to appear
    • N. Ishimura, Shape of spirals, Tohoku Math. J., 50 (1998), to appear.
    • (1998) Tohoku Math. J. , vol.50
    • Ishimura, N.1
  • 14
    • 0000039189 scopus 로고
    • A survey of spiral-wave behaviors in the Oregonator model
    • W. Jahnke and A.T. Winfree, A survey of spiral-wave behaviors in the Oregonator model. Int. J. Bifurcation and Chaos, 1 (1991), 445-466.
    • (1991) Int. J. Bifurcation and Chaos , vol.1 , pp. 445-466
    • Jahnke, W.1    Winfree, A.T.2
  • 15
    • 0022912207 scopus 로고
    • A geometrical theory for spiral waves in excitable media
    • J.P. Keener, A geometrical theory for spiral waves in excitable media. SIAM J. Appl. Math., 46 (1986), 1039-1056.
    • (1986) SIAM J. Appl. Math. , vol.46 , pp. 1039-1056
    • Keener, J.P.1
  • 16
    • 46149133937 scopus 로고
    • Spiral waves in the Belousov-Zhabotinskii reaction
    • J.P. Keener and J.J. Tyson, Spiral waves in the Belousov-Zhabotinskii reaction. Physica, D 21 (1986), 307-324.
    • (1986) Physica, D , vol.21 , pp. 307-324
    • Keener, J.P.1    Tyson, J.J.2
  • 17
    • 0002641237 scopus 로고
    • The role of curvature and wavefront interactions in spiral-wave dynamics
    • E. Meron, The role of curvature and wavefront interactions in spiral-wave dynamics. Physica, D 49 (1991), 98-106.
    • (1991) Physica, D , vol.49 , pp. 98-106
    • Meron, E.1
  • 18
    • 0001279529 scopus 로고
    • Spirals in liquid crystals in a rotating magnetic field
    • K.B. Migler and R.B. Meyer, Spirals in liquid crystals in a rotating magnetic field. Physica, D 71 (1994), 412-420.
    • (1994) Physica, D , vol.71 , pp. 412-420
    • Migler, K.B.1    Meyer, R.B.2
  • 20
    • 4243387358 scopus 로고
    • Complex dynamics of spiral waves and motion of curves
    • A.S. Mikhailov, V.A. Davydov and A.S. Zykov, Complex dynamics of spiral waves and motion of curves. Physica, D 70 (1994), 1-39.
    • (1994) Physica, D , vol.70 , pp. 1-39
    • Mikhailov, A.S.1    Davydov, V.A.2    Zykov, A.S.3
  • 21
    • 0020937524 scopus 로고
    • Rotating spiral waves in excitable media: The analytical results
    • A.S. Mikhailov and V.I. Krinsky, Rotating spiral waves in excitable media: the analytical results. Physica, D 9 (1983), 346-371.
    • (1983) Physica, D , vol.9 , pp. 346-371
    • Mikhailov, A.S.1    Krinsky, V.I.2
  • 22
    • 44949270479 scopus 로고
    • Kinematical theory of spiral waves in excitable media: Comparison with numerical computations
    • A.S. Mikhailov and V.S. Zykov, Kinematical theory of spiral waves in excitable media: comparison with numerical computations. Physica, D 52 (1991), 379-397.
    • (1991) Physica, D , vol.52 , pp. 379-397
    • Mikhailov, A.S.1    Zykov, V.S.2
  • 23
    • 0000831856 scopus 로고    scopus 로고
    • The eikonal approximation to excitable reaction-diffusion systems: Traveling non-planar wave fronts on the plane
    • A.J. Mulholland and J. Gomatam, The eikonal approximation to excitable reaction-diffusion systems: traveling non-planar wave fronts on the plane. Physica, D 89 (1996), 329-345.
    • (1996) Physica, D , vol.89 , pp. 329-345
    • Mulholland, A.J.1    Gomatam, J.2
  • 24
    • 85034477410 scopus 로고
    • The master thesis. The University of Tsukuba
    • M. Nishio, The master thesis. The University of Tsukuba, 1994.
    • (1994)
    • Nishio, M.1
  • 25
    • 45449123944 scopus 로고
    • Singular perturbation theory of traveling waves in excitable media
    • J.J. Tyson and J.P. Keener, Singular perturbation theory of traveling waves in excitable media. Physica, D 32 (1988), 327-361.
    • (1988) Physica, D , vol.32 , pp. 327-361
    • Tyson, J.J.1    Keener, J.P.2
  • 26
    • 0030258439 scopus 로고    scopus 로고
    • Spiral waves on circular and spherical domains of excitable medium
    • V.S. Zykov and S.C. Müller, Spiral waves on circular and spherical domains of excitable medium. Physica, D 97 (1996), 322-332.
    • (1996) Physica, D , vol.97 , pp. 322-332
    • Zykov, V.S.1    Müller, S.C.2
  • 27
    • 0000267121 scopus 로고
    • Dynamics of wave fronts in excitable media
    • H. Yamada and K. Nozaki, Dynamics of wave fronts in excitable media. Physica, D 64 (1993), 153-162.
    • (1993) Physica, D , vol.64 , pp. 153-162
    • Yamada, H.1    Nozaki, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.