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Volumn 124, Issue 1-3, 1998, Pages 126-136

Spiral wave behaviors in an excitable reaction-diffusion system on a sphere

Author keywords

Excitable media; Geodesic curvature; Rotating spiral wave; Spectral method; Sphere; Wave front dynamics

Indexed keywords


EID: 0001460027     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00182-1     Document Type: Article
Times cited : (21)

References (21)
  • 1
    • 0006457601 scopus 로고
    • Drift of spiral waves on nonuniformly curved surfaces
    • A. Yu. Abramychev, V.A. Davydov, V.S. Zykov, Drift of spiral waves on nonuniformly curved surfaces, JETP 70 (1990) 666-671.
    • (1990) JETP , vol.70 , pp. 666-671
    • Abramychev, A.Yu.1    Davydov, V.A.2    Zykov, V.S.3
  • 2
    • 5644278008 scopus 로고
    • Kinematic approach to the description of autowave processes in active media
    • P.K. Brazhnik, V.A. Davydov, A.S. Mikhailov, Kinematic approach to the description of autowave processes in active media, Theor. Math. Phys. 74 (1988) 300-306.
    • (1988) Theor. Math. Phys. , vol.74 , pp. 300-306
    • Brazhnik, P.K.1    Davydov, V.A.2    Mikhailov, A.S.3
  • 3
    • 0003092858 scopus 로고
    • Kinematics of spiral waves on nonuniformly curved surfaces
    • V.A. Davydov, V.S. Zykov, Kinematics of spiral waves on nonuniformly curved surfaces, Physica D 49 (1991) 71-74.
    • (1991) Physica D , vol.49 , pp. 71-74
    • Davydov, V.A.1    Zykov, V.S.2
  • 4
    • 6244221230 scopus 로고
    • Spiral autowaves in a round excitable medium
    • V.A. Davydov, V.S. Zykov, Spiral autowaves in a round excitable medium, JETP 76 (1993) 414-419.
    • (1993) JETP , vol.76 , pp. 414-419
    • Davydov, V.A.1    Zykov, V.S.2
  • 5
    • 84931472342 scopus 로고
    • Kinematics of autowave structures in excitable media
    • V.A. Davydov, V.S. Zykov, A.S. Mikhailov, Kinematics of autowave structures in excitable media, 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
  • 6
    • 0011271708 scopus 로고
    • The eikonal equation: Stability of reaction-diffusion waves on a sphere
    • J. Gomatam, 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
  • 7
    • 0023461031 scopus 로고
    • The geometry and motion of reaction-diffusion waves on closed two-dimensional manifolds
    • P. Grindrod, J. Gomatam, The geometry and motion of reaction-diffusion waves on closed two-dimensional manifolds, J. Math. Biol. 25 (1987) 597-610.
    • (1987) J. Math. Biol. , vol.25 , pp. 597-610
    • Grindrod, P.1    Gomatam, J.2
  • 8
    • 0000039189 scopus 로고
    • A survey of spiral-wave behaviors in the Oregonator model
    • W. Jahnke, A.T. Winfree, A survey of spiral-wave behaviors in the Oregonator model, Int. J. Bifurc. Chaos 1 (1991) 445-466.
    • (1991) Int. J. Bifurc. Chaos , vol.1 , pp. 445-466
    • Jahnke, W.1    Winfree, A.T.2
  • 9
    • 0026929447 scopus 로고
    • The core of the spiral
    • J.P. Keener, The core of the spiral, SIAM J. Appl. Math. 52 (1992) 1370-1390.
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1370-1390
    • Keener, J.P.1
  • 10
    • 46149133937 scopus 로고
    • Spiral waves in the Belousov-Zhabotinskii reaction
    • J.P. Keener, 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
  • 11
    • 33748587251 scopus 로고
    • Chemical waves on spherical surfaces
    • J. Maselko, K. Showalter, Chemical waves on spherical surfaces, Nature 339 (1989) 609-611.
    • (1989) Nature , vol.339 , pp. 609-611
    • Maselko, J.1    Showalter, K.2
  • 12
    • 33748586524 scopus 로고    scopus 로고
    • Rotating chemical waves on the sphere
    • P. McQuillan, J. Gomatam, Rotating chemical waves on the sphere, J. Phys. Chem. 100 (1996) 5157-5159.
    • (1996) J. Phys. Chem. , vol.100 , pp. 5157-5159
    • McQuillan, P.1    Gomatam, J.2
  • 13
    • 0001883519 scopus 로고
    • Pattern formation in excitable media
    • E. Meron, Pattern formation in excitable media, Phys. Rep. 218 (1992) 1-66.
    • (1992) Phys. Rep. , vol.218 , pp. 1-66
    • Meron, E.1
  • 14
    • 4243387358 scopus 로고
    • Complex dynamics of spiral waves and motion of curves
    • A.S. Mikhailov, V.A. Davydov, V.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, V.S.3
  • 16
    • 0015198248 scopus 로고
    • Numerical simulation of incompressible flows within simple boundaries. I. Galerkin (spectral) representations
    • S.A. Orszag, Numerical simulation of incompressible flows within simple boundaries. I. Galerkin (spectral) representations, Stud. Appl. Math. 50 (1971) 293-327.
    • (1971) Stud. Appl. Math. , vol.50 , pp. 293-327
    • Orszag, S.A.1
  • 17
    • 0015400805 scopus 로고
    • Comparison of pseudospectral and spectral approximation
    • S.A. Orszag, Comparison of pseudospectral and spectral approximation, Stud. Appl. Math. 51 (1972) 253-259.
    • (1972) Stud. Appl. Math. , vol.51 , pp. 253-259
    • Orszag, S.A.1
  • 19
    • 0001579004 scopus 로고
    • A numerical experiment on two-dimensional decaying turbulence on a rotating sphere
    • S. Yoden, M. Yamada, A numerical experiment on two-dimensional decaying turbulence on a rotating sphere, J. Atmos. Sci. 50 (1993) 631-643; S. Yoden, M. Yamada, K. Ishioka, Numerical solution program for fluid flow on a sphere with a spectral transform method (in Japanese), Technical Note of Data Processing Center in Kyoto University 23 (1990) 283-290.
    • (1993) J. Atmos. Sci. , vol.50 , pp. 631-643
    • Yoden, S.1    Yamada, M.2
  • 20
    • 0040447895 scopus 로고
    • Numerical solution program for fluid flow on a sphere with a spectral transform method
    • S. Yoden, M. Yamada, A numerical experiment on two-dimensional decaying turbulence on a rotating sphere, J. Atmos. Sci. 50 (1993) 631-643; S. Yoden, M. Yamada, K. Ishioka, Numerical solution program for fluid flow on a sphere with a spectral transform method (in Japanese), Technical Note of Data Processing Center in Kyoto University 23 (1990) 283-290.
    • (1990) Technical Note of Data Processing Center in Kyoto University , vol.23 , pp. 283-290
    • Yoden, S.1    Yamada, M.2    Ishioka, K.3
  • 21
    • 0030258439 scopus 로고    scopus 로고
    • Spiral waves oh circular and spherical domains of excitable medium
    • V.S. Zykov, S.C. Müller, Spiral waves oh 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.