메뉴 건너뛰기




Volumn 124, Issue 1-3, 1998, Pages 177-200

Tongue-like bifurcation structures of the mean-field dynamics in a network of chaotic elements

Author keywords

Collective motion; Globally coupled map

Indexed keywords


EID: 0001390244     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00190-0     Document Type: Article
Times cited : (25)

References (36)
  • 1
    • 0000478424 scopus 로고
    • Constants of motion for superconducting Josephson arrays
    • and references therein
    • S. Watanabe, S.H. Strogatz, Constants of motion for superconducting Josephson arrays, Physica D 74 (1994) 197-253; and references therein.
    • (1994) Physica D , vol.74 , pp. 197-253
    • Watanabe, S.1    Strogatz, S.H.2
  • 2
    • 36449004000 scopus 로고
    • Chaos in a multimode solid-state laser system
    • C. Bracikowski, R. Roy, Chaos in a multimode solid-state laser system, Chaos 1 (1991) 49; F. T. Arecchi, Rate processes in nonlinear optical dynamics with many attractors, Chaos 1 (1991) 357.
    • (1991) Chaos , vol.1 , pp. 49
    • Bracikowski, C.1    Roy, R.2
  • 3
    • 0001748891 scopus 로고
    • Rate processes in nonlinear optical dynamics with many attractors
    • C. Bracikowski, R. Roy, Chaos in a multimode solid-state laser system, Chaos 1 (1991) 49; F. T. Arecchi, Rate processes in nonlinear optical dynamics with many attractors, Chaos 1 (1991) 357.
    • (1991) Chaos , vol.1 , pp. 357
    • Arecchi, F.T.1
  • 4
    • 0001431375 scopus 로고
    • Dynamics of functional coupling in the cerebral cortex: An attempt at a model-based interpretation
    • and references therein
    • Ad Aertsen, M. Erb, G. Plam, Dynamics of functional coupling in the cerebral cortex: an attempt at a model-based interpretation, Physica D 75 (1994) 103-128; and references therein.
    • (1994) Physica D , vol.75 , pp. 103-128
    • Aertsen, A.1    Erb, M.2    Plam, G.3
  • 5
    • 43949155943 scopus 로고
    • Dynamics clustering of bacterial population
    • E.P. Ko, T. Yomo, I. Urabe, Dynamics clustering of bacterial population, Physica D 75 (1994) 81-88; K. Kaneko, T. Yomo, Cell division, differentiation and dynamic clustering, Physica D 75 (1994) 89-102.
    • (1994) Physica D , vol.75 , pp. 81-88
    • Ko, E.P.1    Yomo, T.2    Urabe, I.3
  • 6
    • 0002351213 scopus 로고
    • Cell division, differentiation and dynamic clustering
    • E.P. Ko, T. Yomo, I. Urabe, Dynamics clustering of bacterial population, Physica D 75 (1994) 81-88; K. Kaneko, T. Yomo, Cell division, differentiation and dynamic clustering, Physica D 75 (1994) 89-102.
    • (1994) Physica D , vol.75 , pp. 89-102
    • Kaneko, K.1    Yomo, T.2
  • 7
    • 0029893535 scopus 로고    scopus 로고
    • Uncoupling of biological oscillators: A complementary hypothesis concerning the pathogenesis of multiple organ dysfunction syndrome
    • P.J. Godin, T.G. Buchman, Uncoupling of biological oscillators: A complementary hypothesis concerning the pathogenesis of multiple organ dysfunction syndrome, Crit. Care. Med. 24 (1996) 1107-1116; T.G. Buchman, Physiological stability and physiologic state, J. Trauma 41 (1996) 599-605.
    • (1996) Crit. Care. Med. , vol.24 , pp. 1107-1116
    • Godin, P.J.1    Buchman, T.G.2
  • 8
    • 0029858597 scopus 로고    scopus 로고
    • Physiological stability and physiologic state
    • P.J. Godin, T.G. Buchman, Uncoupling of biological oscillators: A complementary hypothesis concerning the pathogenesis of multiple organ dysfunction syndrome, Crit. Care. Med. 24 (1996) 1107-1116; T.G. Buchman, Physiological stability and physiologic state, J. Trauma 41 (1996) 599-605.
    • (1996) J. Trauma , vol.41 , pp. 599-605
    • Buchman, T.G.1
  • 9
    • 45149135778 scopus 로고
    • Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
    • K. Kaneko, Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements, Physica D 41 (1990) 137-172.
    • (1990) Physica D , vol.41 , pp. 137-172
    • Kaneko, K.1
  • 10
    • 5244237607 scopus 로고
    • Globally coupled chaos violates the law of large numbers
    • K. Kaneko, Globally coupled chaos violates the law of large numbers, Phys. Rev. Lett. 65 (1990) 1391.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1391
    • Kaneko, K.1
  • 11
    • 44049123173 scopus 로고
    • Mean field fluctuation of a networks of chaotic elements
    • K. Kaneko, Mean field fluctuation of a networks of chaotic elements, Physica D 55 (1992) 368-384.
    • (1992) Physica D , vol.55 , pp. 368-384
    • Kaneko, K.1
  • 12
    • 0000374225 scopus 로고
    • Instabilities and nonstatistical behavior in globally coupled systems
    • G. Perez, H.A. Cerdeira, Instabilities and nonstatistical behavior in globally coupled systems, Phys. Rev. A 46 (1992) 7492.
    • (1992) Phys. Rev. A , vol.46 , pp. 7492
    • Perez, G.1    Cerdeira, H.A.2
  • 13
    • 0002204536 scopus 로고
    • Collective behaviors in spatially extended systems with local interactions and synchronous updating
    • H. Chaté, P. Manneville, Collective behaviors in spatially extended systems with local interactions and synchronous updating, Progr. Theoret. Phys. 87 (1992) 1.
    • (1992) Progr. Theoret. Phys. , vol.87 , pp. 1
    • Chaté, H.1    Manneville, P.2
  • 14
    • 0001479293 scopus 로고
    • Order in the turbulent phase of globally coupled maps
    • G. Perez, S. Sinha, H.A. Cerdeira, Order in the turbulent phase of globally coupled maps, Physica D 63 (1993) 341-349.
    • (1993) Physica D , vol.63 , pp. 341-349
    • Perez, G.1    Sinha, S.2    Cerdeira, H.A.3
  • 15
    • 0000120431 scopus 로고
    • Do globally coupled maps really violate the law of large numbers?
    • A.S. Pikovsky, J. Kurths, Do globally coupled maps really violate the law of large numbers?, Phys. Rev. Lett. 72 (1994) 1644; A.S. Pikovsky, J. Kurths, Collective behavior in ensembles of globally coupled maps, Physica D 76 (1994) 411-419.
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 1644
    • Pikovsky, A.S.1    Kurths, J.2
  • 16
    • 0000326536 scopus 로고
    • Collective behavior in ensembles of globally coupled maps
    • A.S. Pikovsky, J. Kurths, Do globally coupled maps really violate the law of large numbers?, Phys. Rev. Lett. 72 (1994) 1644; A.S. Pikovsky, J. Kurths, Collective behavior in ensembles of globally coupled maps, Physica D 76 (1994) 411-419.
    • (1994) Physica D , vol.76 , pp. 411-419
    • Pikovsky, A.S.1    Kurths, J.2
  • 17
    • 21844514043 scopus 로고
    • Bifurcations in globally coupled map lattices
    • W. Just, Bifurcations in globally coupled map lattices, J. Stat. Phys. 79 (1995) 429.
    • (1995) J. Stat. Phys. , vol.79 , pp. 429
    • Just, W.1
  • 18
    • 58149211060 scopus 로고
    • Remarks on the mean-field dynamics of networks of chaotic elements
    • K. Kaneko, Remarks on the mean-field dynamics of networks of chaotic elements, Physica D 86 (1995) 158-170.
    • (1995) Physica D , vol.86 , pp. 158-170
    • Kaneko, K.1
  • 19
    • 58149209584 scopus 로고
    • On mean field fluctuations in globally coupled maps
    • S.V. Ershov, A.B. Potapov, On mean field fluctuations in globally coupled maps, Physica D 86 (1995) 532-558.
    • (1995) Physica D , vol.86 , pp. 532-558
    • Ershov, S.V.1    Potapov, A.B.2
  • 20
    • 0000150852 scopus 로고    scopus 로고
    • Bifurcation in globally coupled chaotic maps
    • S. Morita, Bifurcation in globally coupled chaotic maps, Phys. Lett. A 211 (1996) 258-264.
    • (1996) Phys. Lett. A , vol.211 , pp. 258-264
    • Morita, S.1
  • 21
    • 0000783036 scopus 로고    scopus 로고
    • Nontrivial collective behavior in extensively-chaotic dynamical systems: An update
    • H. Chaté, A. Lemaitre, Ph. Marcq, P. Manneville, Nontrivial collective behavior in extensively-chaotic dynamical systems: an update, Physica A 224 (1996) 447-457.
    • (1996) Physica A , vol.224 , pp. 447-457
    • Chaté, H.1    Lemaitre, A.2    Marcq, Ph.3    Manneville, P.4
  • 22
    • 0031579921 scopus 로고    scopus 로고
    • Heterogeneity induced order in globally coupled chaotic systems
    • T. Shibata, K. Kaneko, Heterogeneity induced order in globally coupled chaotic systems, Europhys. Lett. 38 (6) (1997) 417-422.
    • (1997) Europhys. Lett. , vol.38 , Issue.6 , pp. 417-422
    • Shibata, T.1    Kaneko, K.2
  • 23
    • 0010266725 scopus 로고    scopus 로고
    • On mean field fluctuations in globally coupled logistic-type maps
    • S.V. Ershov, A.B. Potapov, On mean field fluctuations in globally coupled logistic-type maps, Physica D 106 (1997) 9-38.
    • (1997) Physica D , vol.106 , pp. 9-38
    • Ershov, S.V.1    Potapov, A.B.2
  • 24
    • 0032001223 scopus 로고    scopus 로고
    • Collective motion occurs inevitably in a class of populations of globally coupled chaotic elements
    • N. Nakagawa, T. Komatsu, Collective motion occurs inevitably in a class of populations of globally coupled chaotic elements, Phys. Rev. E 57 (1998) 1570.
    • (1998) Phys. Rev. E , vol.57 , pp. 1570
    • Nakagawa, N.1    Komatsu, T.2
  • 25
    • 0002154832 scopus 로고    scopus 로고
    • On the bifurcation structure of the mean-field fluctuation in the globally coupled tent map systems
    • T. Chawanya, S. Morita, On the bifurcation structure of the mean-field fluctuation in the globally coupled tent map systems, Physica D 116 (1998) 44.
    • (1998) Physica D , vol.116 , pp. 44
    • Chawanya, T.1    Morita, S.2
  • 26
    • 0000047830 scopus 로고
    • Period-doubling of kink-antikink patterns, quasi-periodicity in antiferro-like structures and spatial intermittency in coupled logistic lattice - Toward a prelude to a "field theory of chaos"
    • K. Kaneko, Period-doubling of kink-antikink patterns, quasi-periodicity in antiferro-like structures and spatial intermittency in coupled logistic lattice - toward a prelude to a "field theory of chaos" -, Prog. Theor. Phys. 72 (1984) 480; Pattern dynamics in spatiotemporal chaos, Physica D 34 (1989) 1; in: K. Kawasaki, A. Onuki, M. Suzuki (Eds.), Simulating Physics with Coupled Map Lattice, Formation, Dynamics, and Statistics of Patterns, World Scientific. Singapore, 1990; in: K. Kaneko (Ed.), Theory and Applications of Coupled Map Lattices, Wiley, New York, 1993.
    • (1984) Prog. Theor. Phys. , vol.72 , pp. 480
    • Kaneko, K.1
  • 27
    • 0003076832 scopus 로고
    • Pattern dynamics in spatiotemporal chaos
    • K. Kaneko, Period-doubling of kink-antikink patterns, quasi-periodicity in antiferro-like structures and spatial intermittency in coupled logistic lattice - toward a prelude to a "field theory of chaos" -, Prog. Theor. Phys. 72 (1984) 480; Pattern dynamics in spatiotemporal chaos, Physica D 34 (1989) 1; in: K. Kawasaki, A. Onuki, M. Suzuki (Eds.), Simulating Physics with Coupled Map Lattice, Formation, Dynamics, and Statistics of Patterns, World Scientific. Singapore, 1990; in: K. Kaneko (Ed.), Theory and Applications of Coupled Map Lattices, Wiley, New York, 1993.
    • (1989) Physica D , vol.34 , pp. 1
  • 28
    • 11544338716 scopus 로고
    • Singapore
    • K. Kaneko, Period-doubling of kink-antikink patterns, quasi-periodicity in antiferro-like structures and spatial intermittency in coupled logistic lattice - toward a prelude to a "field theory of chaos" -, Prog. Theor. Phys. 72 (1984) 480; Pattern dynamics in spatiotemporal chaos, Physica D 34 (1989) 1; in: K. Kawasaki, A. Onuki, M. Suzuki (Eds.), Simulating Physics with Coupled Map Lattice, Formation, Dynamics, and Statistics of Patterns, World Scientific. Singapore, 1990; in: K. Kaneko (Ed.), Theory and Applications of Coupled Map Lattices, Wiley, New York, 1993.
    • (1990) Simulating Physics with Coupled Map Lattice, Formation, Dynamics, and Statistics of Patterns, World Scientific
    • Kawasaki, K.1    Onuki, A.2    Suzuki, M.3
  • 29
    • 0004098633 scopus 로고
    • Wiley, New York
    • K. Kaneko, Period-doubling of kink-antikink patterns, quasi-periodicity in antiferro-like structures and spatial intermittency in coupled logistic lattice - toward a prelude to a "field theory of chaos" -, Prog. Theor. Phys. 72 (1984) 480; Pattern dynamics in spatiotemporal chaos, Physica D 34 (1989) 1; in: K. Kawasaki, A. Onuki, M. Suzuki (Eds.), Simulating Physics with Coupled Map Lattice, Formation, Dynamics, and Statistics of Patterns, World Scientific. Singapore, 1990; in: K. Kaneko (Ed.), Theory and Applications of Coupled Map Lattices, Wiley, New York, 1993.
    • (1993) Theory and Applications of Coupled Map Lattices
    • Kaneko, K.1
  • 30
    • 0002541234 scopus 로고
    • From collective oscillations to collective chaos in a globally coupled oscillator system
    • N. Nakagawa, Y. Kuramoto, From collective oscillations to collective chaos in a globally coupled oscillator system, Physica D 75 (1994) 74-80.
    • (1994) Physica D , vol.75 , pp. 74-80
    • Nakagawa, N.1    Kuramoto, Y.2
  • 31
    • 22244488434 scopus 로고    scopus 로고
    • Collective chaos and noise in the globally coupled complex Ginzburg-Landau equation
    • M. Chabanol, V. Hakim, W. Rappel, Collective chaos and noise in the globally coupled complex Ginzburg-Landau equation, Physica D 103 (1997) 273-293.
    • (1997) Physica D , vol.103 , pp. 273-293
    • Chabanol, M.1    Hakim, V.2    Rappel, W.3
  • 32
    • 33646981873 scopus 로고
    • Characterization of strange attractors
    • P. Grassberger, I. Procaccia, Characterization of strange attractors, Phys. Rev. Lett. 50 (1983) 346; Measuring the strangeness of strange attractors, Physica D 9 (1983) 189.
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 346
    • Grassberger, P.1    Procaccia, I.2
  • 33
    • 40749093037 scopus 로고
    • Measuring the strangeness of strange attractors
    • P. Grassberger, I. Procaccia, Characterization of strange attractors, Phys. Rev. Lett. 50 (1983) 346; Measuring the strangeness of strange attractors, Physica D 9 (1983) 189.
    • (1983) Physica D , vol.9 , pp. 189
  • 36
    • 0000761854 scopus 로고    scopus 로고
    • Collective Chaos
    • submitted; preprint xxx.lanl.gov chaodyn/9805009
    • T. Shibata, K. Kaneko, Collective Chaos, Phys. Rev. Lett. (1998), submitted; preprint xxx.lanl.gov chaodyn/9805009.
    • (1998) Phys. Rev. Lett.
    • Shibata, T.1    Kaneko, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.