메뉴 건너뛰기




Volumn 16, Issue 5, 2006, Pages 1547-1555

Localization of Response Functions of spiral waves in the FitzHugh-Nagumo system

Author keywords

Drift; Excitable media; FitzHugh Nagumo; Perturbation theory; Response functions; Spiral waves

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 33747487061     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127406015490     Document Type: Article
Times cited : (30)

References (32)
  • 1
    • 0034321624 scopus 로고    scopus 로고
    • Waves and vortices of rust on the surface of corroding steel
    • Agladze, K. & Steinbock, O. [2000] "Waves and vortices of rust on the surface of corroding steel," J. Phys. Chem. A 104, 9816-9819.
    • (2000) J. Phys. Chem. A , vol.104 , pp. 9816-9819
    • Agladze, K.1    Steinbock, O.2
  • 2
    • 33747459739 scopus 로고    scopus 로고
    • private communication
    • Agladze, K. I. [2000] private communication.
    • (2000)
    • Agladze, K.I.1
  • 3
    • 0016294131 scopus 로고
    • Signal propagation during aggregation in the slime mold Dictyostelium Discoideum
    • Alcantara, F. & Monk, M. [1974] "Signal propagation during aggregation in the slime mold Dictyostelium Discoideum," J. Gen. Microbiol. 85, 321-334.
    • (1974) J. Gen. Microbiol. , vol.85 , pp. 321-334
    • Alcantara, F.1    Monk, M.2
  • 4
    • 0015894753 scopus 로고
    • Circus movement in rabbit atrial muscle as a mechanism of tachycardia
    • Allessie, M. A., Bonk, F. I. M. & Schopman, F. [1973] "Circus movement in rabbit atrial muscle as a mechanism of tachycardia," Circ. Res. 33, 54-62.
    • (1973) Circ. Res. , vol.33 , pp. 54-62
    • Allessie, M.A.1    Bonk, F.I.M.2    Schopman, F.3
  • 5
    • 18344382361 scopus 로고
    • Resonant drift of autowave vortices in 2d and the effects of boundaries and inhomogeneities
    • Biktashev, V. & Holden, A. [1995] "Resonant drift of autowave vortices in 2d and the effects of boundaries and inhomogeneities," Chaos Solit. Fract. 5, 575-622.
    • (1995) Chaos Solit. Fract. , vol.5 , pp. 575-622
    • Biktashev, V.1    Holden, A.2
  • 6
    • 33747481786 scopus 로고
    • PhD thesis, Moscow Institute of Physics and Technology (in Russian)
    • Biktashev, V. N. [1989] "Evolution of vortices in active media," PhD thesis, Moscow Institute of Physics and Technology (in Russian).
    • (1989) Evolution of Vortices in Active Media
    • Biktashev, V.N.1
  • 8
    • 33747482738 scopus 로고    scopus 로고
    • Vortex dynamics in excitable media
    • ed. Scott, A. (Routledge, London-NY)
    • Biktashev, V. N. [2004] "Vortex dynamics in excitable media," in Encyclopedia of Nonlinear Science, ed. Scott, A. (Routledge, London-NY), pp. 974-978.
    • (2004) Encyclopedia of Nonlinear Science , pp. 974-978
    • Biktashev, V.N.1
  • 9
    • 0001599510 scopus 로고    scopus 로고
    • Localized sensitivity of spiral waves in the complex Ginzburg-Landau equation
    • Biktasheva, I. V., Elkin, Y. E. & Biktashev, V. N. [1998] "Localized sensitivity of spiral waves in the complex Ginzburg-Landau equation," Phys. Rev. E 57, 2656-2659.
    • (1998) Phys. Rev. E , vol.57 , pp. 2656-2659
    • Biktasheva, I.V.1    Elkin, Y.E.2    Biktashev, V.N.3
  • 10
    • 0009956688 scopus 로고    scopus 로고
    • Resonant drift of spiral waves in the complex Ginzburg-Landau equation
    • Biktasheva, I. V., Elkin, Y. E. & Biktashev, V. N. [1999] "Resonant drift of spiral waves in the complex Ginzburg-Landau equation," J. Biol. Phys. 25, 115-127.
    • (1999) J. Biol. Phys. , vol.25 , pp. 115-127
    • Biktasheva, I.V.1    Elkin, Y.E.2    Biktashev, V.N.3
  • 11
    • 0034505720 scopus 로고    scopus 로고
    • Drift of spiral waves in the complex Ginzburg-Landau equation due to media inhomogeneities
    • Biktasheva, I. V. [2000] "Drift of spiral waves in the complex Ginzburg-Landau equation due to media inhomogeneities," Phys. Rev. E 62, 8800-8803.
    • (2000) Phys. Rev. E , vol.62 , pp. 8800-8803
    • Biktasheva, I.V.1
  • 12
    • 33747478899 scopus 로고    scopus 로고
    • Response functions of spiral wave solutions of the complex Ginzburg-Landau equation
    • Biktasheva, I. V. & Biktashev, V. N. [2001] "Response functions of spiral wave solutions of the complex Ginzburg-Landau equation," J. Nonlin. Math. Phys. 8, 28-34.
    • (2001) J. Nonlin. Math. Phys. , vol.8 , pp. 28-34
    • Biktasheva, I.V.1    Biktashev, V.N.2
  • 13
    • 0037720196 scopus 로고    scopus 로고
    • Wave-particle dualism of spiral waves dynamics
    • Biktasheva, I. V. & Biktashev, V. N. [2003] "Wave-particle dualism of spiral waves dynamics," Phys. Rev. E 67, 026221.
    • (2003) Phys. Rev. E , vol.67 , pp. 026221
    • Biktasheva, I.V.1    Biktashev, V.N.2
  • 14
    • 0018146456 scopus 로고
    • The landscape epidemiology of rabies in Virginia
    • Carey, A. B., Giles, R. H. & Mclean, R. G. [1978] "The landscape epidemiology of rabies in Virginia," Am. J. Trop. Med. Hyg. 27, 573-580.
    • (1978) Am. J. Trop. Med. Hyg. , vol.27 , pp. 573-580
    • Carey, A.B.1    Giles, R.H.2    Mclean, R.G.3
  • 15
    • 0025192120 scopus 로고
    • Drift of vortex in myocardium
    • in Russian
    • Fast, V. G. & Pertsov, A. M. [1990] "Drift of vortex in myocardium," Biofizika 35, 478-482 (in Russian).
    • (1990) Biofizika , vol.35 , pp. 478-482
    • Fast, V.G.1    Pertsov, A.M.2
  • 16
    • 53349102813 scopus 로고
    • Impulses and physiological states in theoretical models of nerve membrane
    • FitzHugh, R. [1961] "Impulses and physiological states in theoretical models of nerve membrane," Biophys. J. 1, 445-466.
    • (1961) Biophys. J. , vol.1 , pp. 445-466
    • Fitzhugh, R.1
  • 18
    • 0020827293 scopus 로고
    • Spiral waves of spreading depression in the isolated chicken retina
    • Gorelova, N. &: Bures, J. [1983] "Spiral waves of spreading depression in the isolated chicken retina," J. Neurobiol. 14, 353-363.
    • (1983) J. Neurobiol. , vol.14 , pp. 353-363
    • Gorelova, N.1    Bures, J.2
  • 20
    • 41349085141 scopus 로고    scopus 로고
    • Scroll waves in isotropic excitable media: Linear instabilities, bifurcations, and restabilized states
    • Henry, H. & Hakim, V. [2002] "Scroll waves in isotropic excitable media: Linear instabilities, bifurcations, and restabilized states," Phys. Rev. E 65, 046235.
    • (2002) Phys. Rev. E , vol.65 , pp. 046235
    • Henry, H.1    Hakim, V.2
  • 21
    • 0000934949 scopus 로고
    • Spatiotemporal concentration patterns in a surface reaction - Propagating and standing waves, rotating spirals, and turbulence
    • Jakubith, S., Rotermund, H. H., Engel, W., von Oertzen, A. & Ertl, G. [1990] "Spatiotemporal concentration patterns in a surface reaction - propagating and standing waves, rotating spirals, and turbulence," Phys. Rev. Lett. 65, 3013-3016.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 3013-3016
    • Jakubith, S.1    Rotermund, H.H.2    Engel, W.3    Von Oertzen, A.4    Ertl, G.5
  • 22
    • 45549118511 scopus 로고
    • The dynamics of 3-dimensional scroll waves in excitable media
    • Keener, J. [1988] "The dynamics of 3-dimensional scroll waves in excitable media," Physica D 31, 269-276.
    • (1988) Physica D , vol.31 , pp. 269-276
    • Keener, J.1
  • 23
    • 0026416651 scopus 로고
    • Spiral calcium wave propagation and annihilation in Xenopus Laevis oocytes
    • Lechleiter, J., Girard, S., Peralta, E. &: Clapham, D. [1991] "Spiral calcium wave propagation and annihilation in Xenopus Laevis oocytes," Science 252, 123-126.
    • (1991) Science , vol.252 , pp. 123-126
    • Lechleiter, J.1    Girard, S.2    Peralta, E.3    Clapham, D.4
  • 24
    • 0000390330 scopus 로고
    • Self-organizing structures
    • Madore, B. F. & Freedman, W. L. [1987] "Self-organizing structures," Am. Sci. 75, 252-259.
    • (1987) Am. Sci. , vol.75 , pp. 252-259
    • Madore, B.F.1    Freedman, W.L.2
  • 25
    • 84912409820 scopus 로고
    • On dynamic equilibrium in the heart
    • Mines, G. R. [1913] "On dynamic equilibrium in the heart," J. Physiol. 46, 349-382.
    • (1913) J. Physiol. , vol.46 , pp. 349-382
    • Mines, G.R.1
  • 26
    • 0022847795 scopus 로고
    • On the spatial spread of rabies among foxes
    • Murray, J. D., Stanley, E. A. & Brown, D. L. [1986] "On the spatial spread of rabies among foxes," PRSB 229, 111-150.
    • (1986) PRSB , vol.229 , pp. 111-150
    • Murray, J.D.1    Stanley, E.A.2    Brown, D.L.3
  • 27
    • 6344238035 scopus 로고
    • An active pulse transmission line simulating nerve axon
    • Nagumo, J. S., Arimoto, S. & Yoshizawa, S. [1962] "An active pulse transmission line simulating nerve axon," Proc. IRE 50, 2061-2071.
    • (1962) Proc. IRE , vol.50 , pp. 2061-2071
    • Nagumo, J.S.1    Arimoto, S.2    Yoshizawa, S.3
  • 28
    • 0001282267 scopus 로고
    • The mechanism of the spiral wave drift in the nonhomogeneous medium
    • in Russian
    • Pertsov, A. M. & Ermakova, E. A. [1988] "The mechanism of the spiral wave drift in the nonhomogeneous medium," Biofizika 33, 338-342 (in Russian).
    • (1988) Biofizika , vol.33 , pp. 338-342
    • Pertsov, A.M.1    Ermakova, E.A.2
  • 29
    • 0343910431 scopus 로고
    • Percolation and galaxies
    • Schulman, L. S. & Seiden, P. E. [1986] "Percolation and galaxies," Science 233, 425-431.
    • (1986) Science , vol.233 , pp. 425-431
    • Schulman, L.S.1    Seiden, P.E.2
  • 30
    • 33749361692 scopus 로고
    • Varieties of spiral wave behavior in excitable media
    • Winfree, A. T. [1991] "Varieties of spiral wave behavior in excitable media," Chaos 1, 303-334.
    • (1991) Chaos , vol.1 , pp. 303-334
    • Winfree, A.T.1
  • 32
    • 0038670886 scopus 로고
    • Spatial phenomena in the auto-oscillatory system
    • eds. Selkov, E. E., Zhabotinsky, A. A. & Shnol, S. E. (Nauka, Pushchino), (in Russian)
    • Zhabotinsky, A. M. & Zaikin, A. N. [1971] "Spatial phenomena in the auto-oscillatory system," in Oscillatory Processes in Biological and Chemical Systems, eds. Selkov, E. E., Zhabotinsky, A. A. & Shnol, S. E. (Nauka, Pushchino), p. 279 (in Russian).
    • (1971) Oscillatory Processes in Biological and Chemical Systems , pp. 279
    • Zhabotinsky, A.M.1    Zaikin, A.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.