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Volumn 205, Issue 1-4, 2005, Pages 25-40

Effects of microscopic disorder on the collective dynamics of globally coupled maps

Author keywords

Anomalous scaling; Collective dynamics; Global coupling; Macroscopically coherent dynamics; Noise induced phenomena; Synchronization

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); MAPS; PARAMETER ESTIMATION; SPURIOUS SIGNAL NOISE; SYNCHRONIZATION;

EID: 19944390647     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.04.020     Document Type: Article
Times cited : (10)

References (47)
  • 2
    • 0348195751 scopus 로고    scopus 로고
    • Analytical results for coupled-map lattices with long-range interactions
    • C. Anteneodo, S.E. deSPinto, A. Batista, and R.L. Viana Analytical results for coupled-map lattices with long-range interactions Phys. Rev. E 68 2003 045202
    • (2003) Phys. Rev. e , vol.68 , pp. 045202
    • Anteneodo, C.1    Despinto, S.E.2    Batista, A.3    Viana, R.L.4
  • 4
    • 84956226705 scopus 로고
    • Evidence of collective behaviour in cellular automata
    • H. Chaté, and P. Manneville Evidence of collective behaviour in cellular automata Europhys. Lett. 14 1991 409
    • (1991) Europhys. Lett. , vol.14 , pp. 409
    • Chaté, H.1    Manneville, P.2
  • 5
    • 0002154832 scopus 로고    scopus 로고
    • On the bifurcation structure of the mean-field fluctuations in the globally coupled tent map systems
    • T. Chawanya, and S. Morita On the bifurcation structure of the mean-field fluctuations 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
  • 7
    • 0033581959 scopus 로고    scopus 로고
    • Sustained oscillations in living cells
    • S. Danø, P.G. Sørensen, and F. Hynne Sustained oscillations in living cells Nature 402 1999 320
    • (1999) Nature , vol.402 , pp. 320
    • Danø, S.1    Sørensen, P.G.2    Hynne, F.3
  • 8
    • 0036334404 scopus 로고    scopus 로고
    • Dynamics of order parameters for globally coupled oscillators
    • S. De Monte, and F. d'Ovidio Dynamics of order parameters for globally coupled oscillators Europhys. Lett. 58 2002 21
    • (2002) Europhys. Lett. , vol.58 , pp. 21
    • De Monte, S.1    D'Ovidio, F.2
  • 9
    • 3442875539 scopus 로고    scopus 로고
    • Noise-induced macroscopic bifurcations in globally coupled chaotic units
    • S. De Monte, F. d'Ovidio, H. Chaté, and E. Mosekide Noise-induced macroscopic bifurcations in globally coupled chaotic units Phys. Rev. Lett. 92 2004 254101
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 254101
    • De Monte, S.1    D'Ovidio, F.2    Chaté, H.3    Mosekide, E.4
  • 10
    • 0037422946 scopus 로고    scopus 로고
    • Coherent regimes of globally coupled dynamical systems
    • S. De Monte, F. d'Ovidio, and E. Mosekilde Coherent regimes of globally coupled dynamical systems Phys. Rev. Lett. 90 2003 054102
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 054102
    • De Monte, S.1    D'Ovidio, F.2    Mosekilde, E.3
  • 11
    • 0002429034 scopus 로고
    • Statistical mechanics of a nonlinear stochastic model
    • R.C. Desai, and R. Zwanzig Statistical mechanics of a nonlinear stochastic model J. Stat. Phys. 19 1978 1
    • (1978) J. Stat. Phys. , vol.19 , pp. 1
    • Desai, R.C.1    Zwanzig, R.2
  • 12
    • 0001586233 scopus 로고
    • Chaotic but regular posi-nega switch among coded attractors by cluster size variation
    • K. Kaneko Chaotic but regular posi-nega switch among coded attractors by cluster size variation Phys. Rev. Lett. 63 1989 219
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 219
    • Kaneko, K.1
  • 13
    • 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
    • (1990) Physica D , vol.41 , pp. 137
    • Kaneko, K.1
  • 15
    • 0037205032 scopus 로고    scopus 로고
    • Emerging coherence in a population of chemical oscillators
    • I.Z. Kiss, Y. Zhai, and J.L. Hudson Emerging coherence in a population of chemical oscillators Science 296 2002 1676
    • (2002) Science , vol.296 , pp. 1676
    • Kiss, I.Z.1    Zhai, Y.2    Hudson, J.L.3
  • 16
    • 4243124667 scopus 로고    scopus 로고
    • Origin of power-law spatial correlations in distributed oscillators and maps with nonlocal coupling
    • Y. Kuramoto, and H. Nakao Origin of power-law spatial correlations in distributed oscillators and maps with nonlocal coupling Phys. Rev. Lett. 76 1996 4352
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 4352
    • Kuramoto, Y.1    Nakao, H.2
  • 17
    • 0003124420 scopus 로고    scopus 로고
    • Power-law spatial correlations and the onset of individual motions in self-oscillatory media with non-local coupling
    • Y. Kuramoto, and H. Nakao Power-law spatial correlations and the onset of individual motions in self-oscillatory media with non-local coupling Physica D 103 1997 294
    • (1997) Physica D , vol.103 , pp. 294
    • Kuramoto, Y.1    Nakao, H.2
  • 18
    • 4243718921 scopus 로고    scopus 로고
    • Scaling properties in large assemblies of simple dynamical units driven by long-wave random forcing
    • Y. Kuramoto, and H. Nakao Scaling properties in large assemblies of simple dynamical units driven by long-wave random forcing Phys. Rev. Lett. 78 1997 4039
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 4039
    • Kuramoto, Y.1    Nakao, H.2
  • 19
    • 0033137408 scopus 로고    scopus 로고
    • Macroscopic model for collective behavior of chaotic map lattices
    • A. Lemaître, and H. Chaté Macroscopic model for collective behavior of chaotic map lattices Europhys. Lett. 46 1999 565
    • (1999) Europhys. Lett. , vol.46 , pp. 565
    • Lemaître, A.1    Chaté, H.2
  • 20
    • 3442880332 scopus 로고    scopus 로고
    • Cluster expansion for collective behavior in discrete-space dynamical systems
    • A. Lemaître, H. Chaté, and P. Manneville Cluster expansion for collective behavior in discrete-space dynamical systems Phys. Rev. Lett. 77 1996 486
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 486
    • Lemaître, A.1    Chaté, H.2    Manneville, P.3
  • 21
    • 0039970177 scopus 로고    scopus 로고
    • Conditional mean field for chaotic coupled map lattices
    • A. Lemaître, H. Chaté, and P. Manneville Conditional mean field for chaotic coupled map lattices Europhys. Lett. 39 1997 377
    • (1997) Europhys. Lett. , vol.39 , pp. 377
    • Lemaître, A.1    Chaté, H.2    Manneville, P.3
  • 23
    • 0034194973 scopus 로고    scopus 로고
    • Very long transients in globally coupled maps
    • S.C. Manrubia, and A.S. Mikhailov Very long transients in globally coupled maps Europhys. Lett. 50 2000 580
    • (2000) Europhys. Lett. , vol.50 , pp. 580
    • Manrubia, S.C.1    Mikhailov, A.S.2
  • 24
    • 0000646269 scopus 로고
    • Chaos, noise, and synchronization
    • A. Maritan, and J.R. Banavar Chaos, noise, and synchronization Phys. Rev. Lett. 72 1994 1451
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 1451
    • Maritan, A.1    Banavar, J.R.2
  • 25
    • 41349105679 scopus 로고    scopus 로고
    • Collective motions in globally coupled tent maps with stochastic updating
    • S. Morita, and T. Chawanya Collective motions in globally coupled tent maps with stochastic updating Phys. Rev. E 65 2002 046201
    • (2002) Phys. Rev. e , vol.65 , pp. 046201
    • Morita, S.1    Chawanya, T.2
  • 26
    • 0032001223 scopus 로고    scopus 로고
    • Collective motion occurs inevitably in a class of populations of globally coupled chaotic elements
    • N. Nakagawa, and T.S. Komatzu 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    Komatzu, T.S.2
  • 27
    • 4944262460 scopus 로고    scopus 로고
    • Synchronization and oscillator death in oscillatory media with stirring
    • Z. Neufeld, I. Kiss, C. Zhou, and J. Kurths Synchronization and oscillator death in oscillatory media with stirring Phys. Rev. Lett. 91 2003 084101
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 084101
    • Neufeld, Z.1    Kiss, I.2    Zhou, C.3    Kurths, J.4
  • 28
    • 3442884712 scopus 로고
    • Mutually destructive fluctuations in globally coupled arrays
    • S. Nichols, and K. Wiesenfeld Mutually destructive fluctuations in globally coupled arrays Phys. Rev. E 49 1994 1865
    • (1994) Phys. Rev. e , vol.49 , pp. 1865
    • Nichols, S.1    Wiesenfeld, K.2
  • 29
    • 0001196018 scopus 로고
    • Comment on "chaos, noise and synchronization"
    • A. Pikovsky Comment on "Chaos, noise and synchronization" Phys. Rev. Lett. 73 1994 2931
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 2931
    • Pikovsky, A.1
  • 30
    • 0000120431 scopus 로고
    • Do globally coupled maps really violate the law of large numbers?
    • A. Pikovsky, and J. Kurths Do globally coupled maps really violate the law of large numbers? Phys. Rev. Lett. 72 1994 1644
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 1644
    • Pikovsky, A.1    Kurths, J.2
  • 31
    • 0037017193 scopus 로고    scopus 로고
    • System size resonance in coupled noisy systems and in the ising model
    • A. Pikovsky, A. Zaikin, and M.A. de la Casa System size resonance in coupled noisy systems and in the ising model Phys. Rev. Lett. 88 2002 050601
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 050601
    • Pikovsky, A.1    Zaikin, A.2    De La Casa, M.A.3
  • 32
    • 4244112592 scopus 로고    scopus 로고
    • Loss of coherence in a system of globally coupled maps
    • O. Popovych, Y. Maistrenko, and E. Mosekilde Loss of coherence in a system of globally coupled maps Phys. Rev. E 64 2001 026205
    • (2001) Phys. Rev. e , vol.64 , pp. 026205
    • Popovych, O.1    Maistrenko, Y.2    Mosekilde, E.3
  • 33
    • 0037163836 scopus 로고    scopus 로고
    • Role of asymmetric clusters in desynchronization of coherent motion
    • O. Popovych, Y. Maistrenko, and E. Mosekilde Role of asymmetric clusters in desynchronization of coherent motion Physics Letters A 302 2002 171
    • (2002) Physics Letters a , vol.302 , pp. 171
    • Popovych, O.1    Maistrenko, Y.2    Mosekilde, E.3
  • 34
    • 0001605121 scopus 로고    scopus 로고
    • Noise-induced coherence in neural networks
    • W. Rappel, and A. Karma Noise-induced coherence in neural networks Phys. Rev. Lett. 77 1996 3256
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 3256
    • Rappel, W.1    Karma, A.2
  • 35
    • 0000795006 scopus 로고    scopus 로고
    • Noiseless collective motion out of noisy chaos
    • T. Shibata, T. Chawanya, and K. Kaneko Noiseless collective motion out of noisy chaos Phys. Rev. Lett. 82 1999 4424
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 4424
    • Shibata, T.1    Chawanya, T.2    Kaneko, K.3
  • 36
    • 0036680188 scopus 로고    scopus 로고
    • Periodicity manifestations in the non-locally coupled maps
    • T. Shimada, and S. Tsukada Periodicity manifestations in the non-locally coupled maps Physica D 168-169 2000 126
    • (2000) Physica D , vol.168-169 , pp. 126
    • Shimada, T.1    Tsukada, S.2
  • 37
    • 0000305472 scopus 로고    scopus 로고
    • Emergence of spontaneous rhythm disorders in self-assembled networks of heart cells
    • Y. Soen, N. Cohen, D. Lipson, and E. Braun Emergence of spontaneous rhythm disorders in self-assembled networks of heart cells Phys. Rev. Lett. 82 1999 3556
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 3556
    • Soen, Y.1    Cohen, N.2    Lipson, D.3    Braun, E.4
  • 39
    • 3442885282 scopus 로고    scopus 로고
    • Strong desynchronizing effects of weak noise in globally coupled systems
    • J. Teramae, and Y. Kuramoto Strong desynchronizing effects of weak noise in globally coupled systems Phys. Rev. E 63 2001 036210
    • (2001) Phys. Rev. e , vol.63 , pp. 036210
    • Teramae, J.1    Kuramoto, Y.2
  • 40
    • 39249084485 scopus 로고    scopus 로고
    • Transition to coherence in populations of coupled chaotic oscillators: A linear response approach
    • D. Topaj, W. Kye, and A. Pikovsky Transition to coherence in populations of coupled chaotic oscillators: a linear response approach Phys. Rev. Lett. 87 2001 074101
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 074101
    • Topaj, D.1    Kye, W.2    Pikovsky, A.3
  • 41
    • 0035642257 scopus 로고    scopus 로고
    • Analytical and numerical studies of noise-induced synchronization of chaotic systems
    • R. Toral, C.R. Mirasso, E. Hernández-García, and O. Piro Analytical and numerical studies of noise-induced synchronization of chaotic systems Chaos 11 2001 665
    • (2001) Chaos , vol.11 , pp. 665
    • Toral, R.1    Mirasso, C.R.2    Hernández-García, E.3    Piro, O.4
  • 42
    • 0034147063 scopus 로고    scopus 로고
    • Experiments on arrays of globally coupled chaotic electrochemical oscillators: Synchronization and clustering
    • W. Wang, I.Z. Kiss, and J.L. Hudson Experiments on arrays of globally coupled chaotic electrochemical oscillators: Synchronization and clustering Chaos 10 2000 248
    • (2000) Chaos , vol.10 , pp. 248
    • Wang, W.1    Kiss, I.Z.2    Hudson, J.L.3
  • 43
    • 4243937204 scopus 로고
    • Amplification by globally coupled arrays: Coherence and symmetry
    • K. Wiesenfeld Amplification by globally coupled arrays: Coherence and symmetry Phys. Rev. A 44 1991 3543
    • (1991) Phys. Rev. a , vol.44 , pp. 3543
    • Wiesenfeld, K.1
  • 44
    • 0001006240 scopus 로고    scopus 로고
    • Synchronization transitions in a disordered Josephson series array
    • K. Wiesenfeld, P. Colet, and S.H. Strogatz Synchronization transitions in a disordered Josephson series array Phys. Rev. Lett. 76 1999 404
    • (1999) Phys. Rev. Lett. , vol.76 , pp. 404
    • Wiesenfeld, K.1    Colet, P.2    Strogatz, S.H.3
  • 45
    • 0014108715 scopus 로고
    • Biological rhythms and the behavior of populations of coupled oscillators
    • A.T. Winfree Biological rhythms and the behavior of populations of coupled oscillators J. Theor. Biol. 16 1967 15
    • (1967) J. Theor. Biol. , vol.16 , pp. 15
    • Winfree, A.T.1
  • 47
    • 1442354867 scopus 로고    scopus 로고
    • Noise-controlled oscillations and their bifurcations in coupled phase oscillators
    • M.A. Zaks, A.B. Neiman, S. Feisel, and L. Schimansky-Geier Noise-controlled oscillations and their bifurcations in coupled phase oscillators Phys. Rev. E 68 2003 0066206
    • (2003) Phys. Rev. e , vol.68 , pp. 0066206
    • Zaks, M.A.1    Neiman, A.B.2    Feisel, S.3    Schimansky-Geier, L.4


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