메뉴 건너뛰기




Volumn 9, Issue 5, 1999, Pages 919-928

Checkerboard spiral waves in a 2D coupled map lattice. Scaling evidence

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033131567     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127499000651     Document Type: Article
Times cited : (2)

References (45)
  • 1
    • 0002322347 scopus 로고
    • Functional organization in random networks
    • eds. von Foerster, H. & Zopf, Jr. G. W. (Pergamon Press, Oxford, London, NY, Paris)
    • Beurle, R. L. [1962] "Functional organization in random networks," in Principles of Self-Organization, eds. von Foerster, H. & Zopf, Jr. G. W. (Pergamon Press, Oxford, London, NY, Paris), pp. 291-314.
    • (1962) Principles of Self-Organization , pp. 291-314
    • Beurle, R.L.1
  • 2
    • 43949155155 scopus 로고
    • Long-range order with local chaos in lattices of diffusively coupled ODEs
    • Brunnet, L., Chaté, H. & Manneville, P. [1994] "Long-range order with local chaos in lattices of diffusively coupled ODEs," Physica D78, 141-154.
    • (1994) Physica , vol.D78 , pp. 141-154
    • Brunnet, L.1    Chaté, H.2    Manneville, P.3
  • 3
    • 21344480382 scopus 로고
    • Connectivity and the dynamics of integrate-and-fire neural networks
    • Chu, P. H., Milton, J. G. & Cowan, J. D. [1994] "Connectivity and the dynamics of integrate-and-fire neural networks," Int. J. Bifurcation and Chaos 4, 237-243.
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , pp. 237-243
    • Chu, P.H.1    Milton, J.G.2    Cowan, J.D.3
  • 4
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • Cross, M. C. & Hohenberg, P. C. [1993] "Pattern formation outside of equilibrium," Rev. Mod. Phys. 65, 851-1112.
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 5
    • 0000884846 scopus 로고
    • Oscillations, complex spatiotemporal behavior, and information transport in networks of excitatory and inhibitory neurons
    • Destexhe, A. [1994] "Oscillations, complex spatiotemporal behavior, and information transport in networks of excitatory and inhibitory neurons," Phys. Rev. E50, 1594-1606.
    • (1994) Phys. Rev. , vol.E50 , pp. 1594-1606
    • Destexhe, A.1
  • 6
    • 0032008348 scopus 로고    scopus 로고
    • Edge of chaos and local activity domain of FitzHugh-Nagumo equation
    • Dogaru, R. & Chua, L. O. [1998a] "Edge of chaos and local activity domain of FitzHugh-Nagumo equation," Int. J. Bifurcation and Chaos 8(2), 211-257.
    • (1998) Int. J. Bifurcation and Chaos , vol.8 , Issue.2 , pp. 211-257
    • Dogaru, R.1    Chua, L.O.2
  • 7
    • 0032091427 scopus 로고    scopus 로고
    • Edge of chaos and local activity domain of the Brusselator CNN
    • Dogaru, R. & Chua, L. O. [1998b] "Edge of chaos and local activity domain of the Brusselator CNN," Int. J. Bifurcation and Chaos 8(6), 1107-1130.
    • (1998) Int. J. Bifurcation and Chaos , vol.8 , Issue.6 , pp. 1107-1130
    • Dogaru, R.1    Chua, L.O.2
  • 8
    • 0032084403 scopus 로고    scopus 로고
    • Coupled map lattice simulation of epileptogenesis in the hippocampal slices
    • Dudkin, A. O. & Sbitnev, V. I. [1998] "Coupled map lattice simulation of epileptogenesis in the hippocampal slices," Biol. Cybern. 78(6), 479-486.
    • (1998) Biol. Cybern. , vol.78 , Issue.6 , pp. 479-486
    • Dudkin, A.O.1    Sbitnev, V.I.2
  • 9
    • 0002913902 scopus 로고
    • Activity in networks of neuron-like elements
    • ed. Cherry, C. (Butterworths, London)
    • Farley, B. G. & Clark, W. A. [1961] "Activity in networks of neuron-like elements," in Information Theory, ed. Cherry, C. (Butterworths, London), pp. 242-251.
    • (1961) Information Theory , pp. 242-251
    • Farley, B.G.1    Clark, W.A.2
  • 11
    • 0018673582 scopus 로고
    • Nonlinear gain mediating cortical stimulus-response relations
    • Freeman, W. J. [1979] "Nonlinear gain mediating cortical stimulus-response relations," Biol. Cybern. 33, 237-247.
    • (1979) Biol. Cybern. , vol.33 , pp. 237-247
    • Freeman, W.J.1
  • 12
    • 0000418266 scopus 로고
    • Tutorial on neurobiology: From single neurons to brain chaos
    • Freeman, W. J. [1992] "Tutorial on neurobiology: From single neurons to brain chaos," Int. J. Bifurcation and Chaos 2, 451-482.
    • (1992) Int. J. Bifurcation and Chaos , vol.2 , pp. 451-482
    • Freeman, W.J.1
  • 13
    • 0001067877 scopus 로고
    • Chaos in the CNS: Theory and practice
    • eds. Greenspan, R. J. & Kyriacou, C. P. (John Wiley, NY)
    • Freeman, W. J. [1994] "Chaos in the CNS: Theory and practice," in Flexibility and Constraint in Behavioral Systems, eds. Greenspan, R. J. & Kyriacou, C. P. (John Wiley, NY), pp. 177-184.
    • (1994) Flexibility and Constraint in Behavioral Systems , pp. 177-184
    • Freeman, W.J.1
  • 15
    • 0020827293 scopus 로고
    • Spiral waves of spreading depression in the isolated chick retina
    • Gorelova, N. A. & Bures̃, J. [1983] "Spiral waves of spreading depression in the isolated chick retina," J. Neurobiol. 14, 353-363.
    • (1983) J. Neurobiol. , vol.14 , pp. 353-363
    • Gorelova, N.A.1    Bures̃, J.2
  • 16
    • 0000862302 scopus 로고
    • Phase transitions in coupled map lattices
    • Grassberger, P. & Schreiber, T. [1991] "Phase transitions in coupled map lattices," Physica D50, 177-188.
    • (1991) Physica , vol.D50 , pp. 177-188
    • Grassberger, P.1    Schreiber, T.2
  • 20
    • 0001999242 scopus 로고
    • Can excitable madia be considered as computational systems
    • Holden, A. V., Tucker, J. V. & Thompson, B. C. [1991a] "Can excitable madia be considered as computational systems," Physica D49, 240-246.
    • (1991) Physica , vol.D49 , pp. 240-246
    • Holden, A.V.1    Tucker, J.V.2    Thompson, B.C.3
  • 22
    • 0001205203 scopus 로고
    • Coupling CMLs and the synchronisation of a multilayer neural computing system
    • Holden, A. V., Poole, M. J., Tucker, J. V. & Zhang, H. [1994] "Coupling CMLs and the synchronisation of a multilayer neural computing system," Chaos Solit. Fract. 4, 2249-2268.
    • (1994) Chaos Solit. Fract. , vol.4 , pp. 2249-2268
    • Holden, A.V.1    Poole, M.J.2    Tucker, J.V.3    Zhang, H.4
  • 23
    • 0030236423 scopus 로고    scopus 로고
    • An algorithmic model of the mammalian heart: Propagation, vulnerability, re-entry and fibrillation
    • Holden, A. V., Poole, M. J. & Tucker, J. V. [1996] "An algorithmic model of the mammalian heart: Propagation, vulnerability, re-entry and fibrillation," Int. J. Bifurcation and Chaos 6(9), 1623-1635.
    • (1996) Int. J. Bifurcation and Chaos , vol.6 , Issue.9 , pp. 1623-1635
    • Holden, A.V.1    Poole, M.J.2    Tucker, J.V.3
  • 24
    • 5944229562 scopus 로고
    • Spatiotemporal stochastic resonance in excitable media
    • Jung, P. & Mayer-Kress, G. [1995] "Spatiotemporal stochastic resonance in excitable media," Phys. Rev. Lett. 74(11), 2130-2133.
    • (1995) Phys. Rev. Lett. , vol.74 , Issue.11 , pp. 2130-2133
    • Jung, P.1    Mayer-Kress, G.2
  • 25
    • 0010531286 scopus 로고
    • Pattern dynamics in spatiotemporal chaos. Pattern selection, diffusion of defect and pattern competition intermittency
    • Kaneko, K. [1989] "Pattern dynamics in spatiotemporal chaos. Pattern selection, diffusion of defect and pattern competition intermittency," Physica D34, 1-41.
    • (1989) Physica , vol.D34 , pp. 1-41
    • Kaneko, K.1
  • 28
    • 0018332525 scopus 로고
    • Circulation of cortical spreading depression around electrically stimulated areas and epileptic foci in the neocortex of rats
    • Koroleva, V. I. & Bures̃, J. [1979] "Circulation of cortical spreading depression around electrically stimulated areas and epileptic foci in the neocortex of rats," Brain Res. 173, 209-215.
    • (1979) Brain Res. , vol.173 , pp. 209-215
    • Koroleva, V.I.1    Bures̃, J.2
  • 30
    • 0009477166 scopus 로고
    • From oscillations to excitability - A case study in spatially extended systems
    • Müller, S. C., Coullet, P. & Walgraef, D. [1994] "From oscillations to excitability - A case study in spatially extended systems," Chaos 4, 439-442.
    • (1994) Chaos , vol.4 , pp. 439-442
    • Müller, S.C.1    Coullet, P.2    Walgraef, D.3
  • 32
    • 0029681228 scopus 로고    scopus 로고
    • Generation of collective-activity structures in a homogeneous neuron-like medium. I. Bifurcation analysis of static structures
    • Muñuzuri, A. P., Pérez-Muñuzuri, V., Gómez-Gesteira, M., Chua, L. O. & Pérez-Villar, V. [1996] "Generation of collective-activity structures in a homogeneous neuron-like medium. I. Bifurcation analysis of static structures," Int. J. Bifurcation and Chaos 6(1), 81-87.
    • (1996) Int. J. Bifurcation and Chaos , vol.6 , Issue.1 , pp. 81-87
    • Muñuzuri, A.P.1    Pérez-Muñuzuri, V.2    Gómez-Gesteira, M.3    Chua, L.O.4    Pérez-Villar, V.5
  • 33
    • 0002400305 scopus 로고
    • Attraction and adhesion in the slime mold dyctyostelium
    • Fungal Differentiation: A Contemporary Synthesis ed. Smith, J. E., Marcel Dekker, NY
    • Newell, P. C. [1983] "Attraction and adhesion in the slime mold Dyctyostelium," in Fungal Differentiation: A Contemporary Synthesis ed. Smith, J. E., Micology Series 43 (Marcel Dekker, NY), p. 43.
    • (1983) Micology Series , vol.43 , pp. 43
    • Newell, P.C.1
  • 34
    • 0029681228 scopus 로고    scopus 로고
    • Generation of collective-activity structures in a homogeneous neuron-like medium. I. Bifurcation analysis of static structures
    • Pelinovsky, D. E. & Yakhno, V. G. [1996a] "Generation of collective-activity structures in a homogeneous neuron-like medium. I. Bifurcation analysis of static structures," Int. J. Bifurcation and Chaos 6(1), 81-87.
    • (1996) Int. J. Bifurcation and Chaos , vol.6 , Issue.1 , pp. 81-87
    • Pelinovsky, D.E.1    Yakhno, V.G.2
  • 35
    • 0029681230 scopus 로고    scopus 로고
    • Generation of collective-activity structures in a homogeneous neuron-like medium. II. Dynamics of propagating and pulsating structures
    • Pelinovsky, D. E. & Yakhno, V. G. [1996b] "Generation of collective-activity structures in a homogeneous neuron-like medium. II. Dynamics of propagating and pulsating structures," Int. J. Bifurcation and Chaos 6(1), 89-100.
    • (1996) Int. J. Bifurcation and Chaos , vol.6 , Issue.1 , pp. 89-100
    • Pelinovsky, D.E.1    Yakhno, V.G.2
  • 36
    • 0000931523 scopus 로고
    • Symmetry breaking bifurcation for coupled chaotic attractors
    • Pikovsky, A. S. & Grassberger, P. [1991] "Symmetry breaking bifurcation for coupled chaotic attractors," J. Phys. A: Math. Gen. 24, 4587-4597.
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 4587-4597
    • Pikovsky, A.S.1    Grassberger, P.2
  • 37
    • 21844502477 scopus 로고
    • On the generation of scroll waves in a three-dimensional discrete active medium
    • Pivka, L., Zheleznyak, A. L., Wu, C. W. & Chua, L. O. [1995] "On the generation of scroll waves in a three-dimensional discrete active medium," Int. J. Bifurcation and Chaos 5(1), 313-320.
    • (1995) Int. J. Bifurcation and Chaos , vol.5 , Issue.1 , pp. 313-320
    • Pivka, L.1    Zheleznyak, A.L.2    Wu, C.W.3    Chua, L.O.4
  • 38
    • 34250254669 scopus 로고
    • Intermittent transition to turbulence in dissipative dynamical systems
    • Pomeau, Y. & Manneville, P. [1982] "Intermittent transition to turbulence in dissipative dynamical systems," Commun. Math. Phys. 74, 189.
    • (1982) Commun. Math. Phys. , vol.74 , pp. 189
    • Pomeau, Y.1    Manneville, P.2
  • 39
    • 0030208676 scopus 로고    scopus 로고
    • Clustering in a coupled map lattice
    • Sbitnev, V. I. [1996] "Clustering in a coupled map lattice," Int. J. Bifurcation and Chaos 6(8), 1495-1508.
    • (1996) Int. J. Bifurcation and Chaos , vol.6 , Issue.8 , pp. 1495-1508
    • Sbitnev, V.I.1
  • 40
    • 0031279823 scopus 로고    scopus 로고
    • Checkerboard spiral waves in a 2D coupled map lattice
    • Sbitnev, V. I. [1997] "Checkerboard spiral waves in a 2D coupled map lattice," Int. J. Bifurcation and Chaos 7(11), 2569-2575.
    • (1997) Int. J. Bifurcation and Chaos , vol.7 , Issue.11 , pp. 2569-2575
    • Sbitnev, V.I.1
  • 41
    • 84973949757 scopus 로고
    • How brains make chaos to make sense of the world
    • Skarda, C. A. & Freeman, W. J. [1987] "How brains make chaos to make sense of the world," Behav. Brain Sci. 10, 161-195.
    • (1987) Behav. Brain Sci. , vol.10 , pp. 161-195
    • Skarda, C.A.1    Freeman, W.J.2
  • 42
    • 4243243193 scopus 로고    scopus 로고
    • Boundary-layer analysis of a spiral wave core: Spiral core radius and conditions for the tip separation from the core boundary
    • Starobin, J. M., Starmer, C. F. & Starobin, A. J. [1997] "Boundary-layer analysis of a spiral wave core: Spiral core radius and conditions for the tip separation from the core boundary," Phys. Rev. E56(4), R3757-R3760.
    • (1997) Phys. Rev. , vol.E56 , Issue.4
    • Starobin, J.M.1    Starmer, C.F.2    Starobin, A.J.3
  • 43
    • 0003228274 scopus 로고
    • Waves and patterns in chemical and biological media
    • Selected papers from a meeting held in Push-chino, USSR, 28 May-1 June 1990
    • Swinney, H. L. & Krinsky, V. I. (eds.) [1991] "Waves and patterns in chemical and biological media," Selected papers from a meeting held in Push-chino, USSR, 28 May-1 June 1990, Physica D49, 1-256.
    • (1991) Physica , vol.D49 , pp. 1-256
    • Swinney, H.L.1    Krinsky, V.I.2
  • 44
    • 45449123944 scopus 로고
    • Singular perturbation theory of travelling waves in excitable media (a review)
    • Tyson, J. J. & Keener, J. P. [1988] "Singular perturbation theory of travelling waves in excitable media (a review)," Physica D32, 327-361.
    • (1988) Physica , vol.D32 , pp. 327-361
    • Tyson, J.J.1    Keener, J.P.2
  • 45
    • 0030266195 scopus 로고    scopus 로고
    • Interactions between vortices and lesions and ectoric foci in a CML model of cardiac tissue
    • Zhang, H. [1996] "Interactions between vortices and lesions and ectoric foci in a CML model of cardiac tissue," Int. J. Bifurcation and Chaos 6(10), 1935-1946.
    • (1996) Int. J. Bifurcation and Chaos , vol.6 , Issue.10 , pp. 1935-1946
    • Zhang, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.