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Volumn 17, Issue 7, 2015, Pages

Chimera states in three dimensions

Author keywords

Chimera states; Kuramoto model; Oscillatory networks

Indexed keywords

DYNAMICS; SYNCHRONIZATION; TOPOLOGY;

EID: 84946782648     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/17/7/073037     Document Type: Article
Times cited : (135)

References (68)
  • 1
    • 2542504827 scopus 로고    scopus 로고
    • Coexistence of coherence and incoherence in nonlocally coupled phase oscillators Nonlinear Phenom
    • Kuramoto Y and BattogtokhD2002 Coexistence of coherence and incoherence in nonlocally coupled phase oscillators Nonlinear Phenom. Complex Syst. 5 380-5
    • (2002) Complex Syst , vol.5 , pp. 380-385
    • Kuramoto, Y.1    Battogtokh, D.2
  • 2
    • 19744381710 scopus 로고    scopus 로고
    • Chimera states for coupled oscillators
    • AbramsDMand Strogatz SH2004 Chimera states for coupled oscillators Phys. Rev. Lett. 93 174102
    • (2004) Phys. Rev. Lett , vol.93 , pp. 174102
    • Abrams, D.M.1    Strogatz, S.H.2
  • 3
    • 84923819252 scopus 로고    scopus 로고
    • Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
    • PanaggioMand AbramsD2015 Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators Nonlinerity 28 67-87
    • (2015) Nonlinerity , vol.28 , pp. 67-87
    • Panaggio, M.1    Abrams, D.2
  • 4
    • 84865529737 scopus 로고    scopus 로고
    • Turbulentlaminar coexistence in wall flows with Coriolis, buoyancy or Lorentz forces
    • Brethouwer G, Duguet Y and Schlatter P 2012 Turbulentlaminar coexistence in wall flows with Coriolis, buoyancy or Lorentz forces J. Fluid Mech. 704 137172
    • (2012) J Fluid Mech , vol.704 , pp. 137172
    • Brethouwer, G.1    Duguet, Y.2    Schlatter, P.3
  • 5
    • 0033811553 scopus 로고    scopus 로고
    • Synaptic mechanisms and network dynamics underlying spatial working memory in a cortical network model Cereb
    • Compte A, Brunel N, Goldman-Rakic P S and Wang X-J 2000 Synaptic mechanisms and network dynamics underlying spatial working memory in a cortical network model Cereb. Cortex 10 910
    • (2000) Cortex , vol.10 , pp. 910
    • Compte, A.1    Brunel, N.2    Goldman-Rakic, P.S.3    Wang, X.-J.4
  • 6
    • 0037566546 scopus 로고    scopus 로고
    • Robust spatial working memory through homeostatic synaptic scaling in heterogeneous cortical networks
    • Renart A, Song P and Wang X-J 2003 Robust spatial working memory through homeostatic synaptic scaling in heterogeneous cortical networks Neuron 38 473-85
    • (2003) Neuron , vol.38 , pp. 473-485
    • Renart, A.1    Song, P.2    Wang, X.-J.3
  • 7
    • 85065118007 scopus 로고    scopus 로고
    • Existence and Wandering of Bumps in A Spiking Neural Network Model
    • Chow Cand Coombes S 2006 Existence and wandering of bumps in a spiking neural network model SIAM J. Appl. Dyn. Syst. 5 552-74
    • (2006) SIAM J Appl. Dyn. Syst , vol.5 , pp. 552-574
    • Chow, C.1    Coombes, S.2
  • 8
    • 84902438827 scopus 로고    scopus 로고
    • Cluster synchronization and isolated desynchronization in complex networks with symmetries
    • Pecora L, Sorrentino F, Hagerstrom A, Murphy T and Roy R 2014 Cluster synchronization and isolated desynchronization in complex networks with symmetries Nat. Commun. 13 4079
    • (2014) Nat Commun , vol.13 , pp. 4079
    • Pecora, L.1    Sorrentino, F.2    Hagerstrom, A.3    Murphy, T.4    Roy, R.5
  • 10
    • 0007802046 scopus 로고    scopus 로고
    • Spatial organization predictability, and determinism in ventricular fibrillation
    • Baylya P, KenKnight B, Rogers J, Johnson E, Ideker R and SmithWM1998 Spatial organization, predictability, and determinism in ventricular fibrillation Chaos 8 103-15
    • (1998) Chaos , vol.8 , pp. 103-115
    • Baylya, P.1    KenKnight, B.2    Rogers, J.3    Johnson, E.4    Ideker, R.5    Smith, W.M.6
  • 11
    • 85107191021 scopus 로고    scopus 로고
    • Spiral breakup as a model of ventricular fibrillation
    • Panfilov A 1998 Spiral breakup as a model of ventricular fibrillation Chaos 8 57-64
    • (1998) Chaos , vol.8 , pp. 57-64
    • Panfilov, A.1
  • 12
    • 0001976781 scopus 로고    scopus 로고
    • Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation
    • Fenton F and Karma A 1998 Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: filament instability and fibrillation Chaos 8 20-47
    • (1998) Chaos , vol.8 , pp. 20-47
    • Fenton, F.1    Karma, A.2
  • 13
    • 84895748139 scopus 로고    scopus 로고
    • Mechanistic insights into hypothermic ventricular fibrillation: The role of temperature and tissue size
    • Filippi S, Gizzi A, Cherubini C, Luther S and Fenton FH2014 Mechanistic insights into hypothermic ventricular fibrillation: the role of temperature and tissue size Europace 16 424-34
    • (2014) Europace , vol.16 , pp. 424-434
    • Filippi, S.1    Gizzi, A.2    Cherubini, C.3    Luther, S.4    Fenton, F.H.5
  • 14
    • 0344118108 scopus 로고    scopus 로고
    • Rotating spirals without phase singularity in reaction-diffusion systems prog
    • Kuramoto Y and Shima S I 2003 Rotating spirals without phase singularity in reaction-diffusion systems Prog. Theor. Phys. Suppl. 150 115-25
    • (2003) Theor. Phys. Suppl , vol.150 , pp. 115-125
    • Kuramoto, Y.1    Shima, S.I.2
  • 15
    • 42749099087 scopus 로고    scopus 로고
    • Rotating spiral waves with phase-randomized core in nonlocally coupled oscillators
    • Shima S I and Kuramoto Y 2004 Rotating spiral waves with phase-randomized core in nonlocally coupled oscillators Phys. Rev. E 69 036213
    • (2004) Phys Rev e , vol.69 , pp. 036213
    • Shima, S.I.1    Kuramoto, Y.2
  • 16
    • 84859046665 scopus 로고    scopus 로고
    • Stationary patterns of coherence and incoherence in two-dimensional arrays of nonlocally-coupled phase oscillatorss
    • Omel'chenko O, Wolfrum M, Yanchuk S, Maistrenko Yu and SudakovO2012 Stationary patterns of coherence and incoherence in two-dimensional arrays of nonlocally-coupled phase oscillatorss Phys. Rev. E 85 036210
    • (2012) Phys Rev e , vol.85 , pp. 036210
    • Omel'chenko, O.1    Wolfrum, M.2    Yanchuk, S.3    Maistrenko, Yu.4    Sudakov, O.5
  • 18
    • 84889087976 scopus 로고    scopus 로고
    • Low dimensional behavior of large systems of globally coupled oscillators
    • Ott E and Antonsen T 2008 Low dimensional behavior of large systems of globally coupled oscillators Chaos 20 037113
    • (2008) Chaos , vol.20 , pp. 037113
    • Ott, E.1    Antonsen, T.2
  • 19
    • 75849147811 scopus 로고    scopus 로고
    • Solvable model of a spiral wave chimeras phys
    • Martens E, Laing C and Strogatz S 2010 Solvable model of a spiral wave chimeras Phys. Rev. Lett. 104 044101
    • (2010) Rev. Lett , vol.104 , pp. 044101
    • Martens, E.1    Laing, C.2    Strogatz, S.3
  • 20
    • 78650681474 scopus 로고    scopus 로고
    • Self-emerging and turbulent chimeras in oscillator chains
    • Bordyugov G, Pikovsky A and RosenblumM2010 Self-emerging and turbulent chimeras in oscillator chains Phys. Rev. E 82 035205
    • (2010) Phys Rev e , vol.82 , pp. 035205
    • Bordyugov, G.1    Pikovsky, A.2    Rosenblum, M.3
  • 22
    • 84907264211 scopus 로고    scopus 로고
    • Multi-cluster and traveling chimera states in nonlocal phase-coupled oscillators
    • Xie J, Knobloh E and Kao H-C 2014 Multi-cluster and traveling chimera states in nonlocal phase-coupled oscillators Phys Rev. e 90 022919
    • (2014) Phys Rev e , vol.90 , pp. 022919
    • Xie, J.1    Knobloh, E.2    Kao, H.-C.3
  • 23
    • 84961288913 scopus 로고    scopus 로고
    • Chimera states in systems of nonlocal nonidentical phase-coupled oscillators
    • Xie J, Kao H-C and Knobloh E 2015 Chimera states in systems of nonlocal nonidentical phase-coupled oscillators Phys. Rev. E 91 032918
    • (2015) Phys Rev e , vol.91 , pp. 032918
    • Xie, J.1    Kao, H.-C.2    Knobloh, E.3
  • 24
    • 77954003394 scopus 로고    scopus 로고
    • Chimera states as chaotic spatiotemporal patterns
    • Omel'chenko O, WolfrumMand Yu Maistrenko 2010 Chimera states as chaotic spatiotemporal patterns Phys. Rev. E 81 065201
    • (2010) Phys Rev e , vol.81 , pp. 065201
    • Omel'chenko, O.1    Wolfrum, M.2    Maistrenko, Yu.3
  • 25
    • 33644921219 scopus 로고    scopus 로고
    • Chimera states in a ring of nonlocally coupled oscillators
    • AbramsDMand Strogatz SH2006 Chimera states in a ring of nonlocally coupled oscillators Int. J. Bifurcation Chaos 16 21-37
    • (2006) Int J. Bifurcation Chaos , vol.16 , pp. 21-37
    • Abrams, D.M.1    Strogatz, S.H.2
  • 26
    • 33644896024 scopus 로고    scopus 로고
    • Instability of synchronized motion in nonlocally coupled neural oscillators
    • SakaguchiH2006 Instability of synchronized motion in nonlocally coupled neural oscillators Phys. Rev. E 73 031907
    • (2006) Phys Rev e , vol.73 , pp. 031907
    • Sakaguchi, H.1
  • 27
    • 38849086596 scopus 로고    scopus 로고
    • Chimera states: The natural link between coherence and incoherence
    • Omel'chenko O, Maistrenko Yu and Tass P 2008 Chimera states: the natural link between coherence and incoherence Phys. Rev. Lett. 100 044105
    • (2008) Phys Rev. Lett , vol.100 , pp. 044105
    • Omel'chenko, O.1    Maistrenko, Yu.2    Tass, P.3
  • 28
    • 42149089007 scopus 로고    scopus 로고
    • Clustered chimera states in delay-coupled oscillator systems
    • SethiaGC, Sen A and Atay FM2008 Clustered chimera states in delay-coupled oscillator systems Phys. Rev. Lett. 100 144102
    • (2008) Phys. Rev. Lett , vol.100 , pp. 144102
    • Sethia, G.C.1    Sen, A.2    Atay, F.M.3
  • 29
    • 79961101021 scopus 로고    scopus 로고
    • Chimera states are chaotic transients
    • WolfrumMand Omel'chenkoO2011 Chimera states are chaotic transients Phys. Rev. E 84 015201
    • (2011) Phys Rev e , vol.84 , pp. 015201
    • Wolfrum, M.1    Omel'chenko, O.2
  • 30
    • 79960634409 scopus 로고    scopus 로고
    • Loss of coherence in dynamical networks: Spatial chaos and chimera states
    • Omelchenko I, Maistrenko Yu, Hövel P and Schöll E 2011 Loss of coherence in dynamical networks: spatial chaos and chimera states Phys. Rev. Lett. 106 234102
    • (2011) Phys Rev. Lett , vol.106 , pp. 234102
    • Omelchenko, I.1    Maistrenko, Yu.2    Hövel, P.3    Schöll, E.4
  • 31
    • 84878388319 scopus 로고    scopus 로고
    • When nonlocal coupling between oscillators becomes stronger: Patched synchrony or multichimera states
    • Omelchenko I, Omel'chenko O, Hövel P and Schöll E 2013 When nonlocal coupling between oscillators becomes stronger: patched synchrony or multichimera states Phys. Rev. Lett. 110 224101
    • (2013) Phys Rev. Lett , vol.110 , pp. 224101
    • Omelchenko, I.1    Omel'chenko, O.2    Hövel, P.3    Schöll, E.4
  • 33
    • 84903769652 scopus 로고    scopus 로고
    • Chimera death: Symmetry breaking in dynamical networks
    • Zakharova A, KapellerMand Schöll E 2014 Chimera death: symmetry breaking in dynamical networks Phys. Rev. Lett. 112 154101
    • (2014) Phys Rev. Lett , vol.112 , pp. 154101
    • Zakharova, A.1    Kapeller, M.2    Schöll, E.3
  • 34
    • 84898470072 scopus 로고    scopus 로고
    • Chimera states: The existence criteria revisited
    • SethiaGCand Sen AC2014 Chimera states: the existence criteria revisited Phys. Rev. Lett. 112 144101
    • (2014) Phys. Rev. Lett , vol.112 , pp. 144101
    • Sethia, G.C.1    Sen, A.C.2
  • 35
    • 84904854799 scopus 로고    scopus 로고
    • Chimeralike states in an ensemble of globally coupled oscillators
    • Yeldesbay A, Pikovsky A and RosenblumM2014 Chimeralike states in an ensemble of globally coupled oscillators Phys. Rev. Lett. 112 144103
    • (2014) Phys. Rev. Lett , vol.112 , pp. 144103
    • Yeldesbay, A.1    Pikovsky, A.2    Rosenblum, M.3
  • 36
    • 84922511223 scopus 로고    scopus 로고
    • Chimera states on the route from coherence to rotating waves
    • Jaros P, Maistrenko Yu and Kapitaniak T 2015 Chimera states on the route from coherence to rotating waves Phys. Rev. E 91 022907
    • (2015) Phys Rev e , vol.91 , pp. 022907
    • Jaros, P.1    Maistrenko, Yu.2    Kapitaniak, T.3
  • 37
    • 84921481321 scopus 로고    scopus 로고
    • Clustering as a prerequisite for chimera states in globally coupled systems
    • Schmidt L and KrischerK2015 Clustering as a prerequisite for chimera states in globally coupled systems Phys. Rev. Lett. 114 034101
    • (2015) Phys. Rev. Lett , vol.114 , pp. 034101
    • Schmidt, L.1    Krischer, K.2
  • 39
    • 78650703861 scopus 로고    scopus 로고
    • Chimeras in a network of three oscillator populations with varying network topology
    • Martens E 2010 Chimeras in a network of three oscillator populations with varying network topology Chaos 20 043122
    • (2010) Chaos , vol.20 , pp. 043122
    • Martens, E.1
  • 40
    • 84871912971 scopus 로고    scopus 로고
    • Laing C2012 Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks
    • Laing C2012 Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks Chaos 22 043104
    • Chaos , vol.22 , pp. 043104
  • 41
    • 67650096320 scopus 로고    scopus 로고
    • The dynamics of chimera states in heterogeneous Kuramoto networks
    • Laing C2009 The dynamics of chimera states in heterogeneous Kuramoto networks PhysicaD238 1569-88
    • (2009) PhysicaD , vol.238 , pp. 1569-1588
    • Laing, C.1
  • 42
    • 84859348181 scopus 로고    scopus 로고
    • Chimeras in random non-complete networks of phase oscillators
    • Laing C, Rajendran Kand Kevrekidis I 2012 Chimeras in random non-complete networks of phase oscillators Chaos 22 013132
    • (2012) Chaos , vol.22 , pp. 013132
    • Laing, C.1    Rajendran, K.2    Kevrekidis, I.3
  • 44
    • 84865731353 scopus 로고    scopus 로고
    • Chimera and phase-cluster states in populations of coupled chemical oscillators
    • Taylor AF, Nkomo S and Showalter K2012 Chimera and phase-cluster states in populations of coupled chemical oscillators Nat. Phys. 8 662-5
    • (2012) Nat Phys , vol.8 , pp. 662-665
    • Taylor, A.F.1    Nkomo, S.2    Showalter, K.3
  • 45
    • 84879084557 scopus 로고    scopus 로고
    • Chimera States in populations of nonlocally coupled chemical oscillators
    • Nkomo S, Taylor A F and Showalter K2013 Chimera States in populations of nonlocally coupled chemical oscillators Phys. Rev. Lett. 110 244102
    • (2013) Phys. Rev. Lett , vol.110 , pp. 244102
    • Nkomo, S.1    Taylor, A.F.2    Showalter, K.3
  • 46
    • 84905866110 scopus 로고    scopus 로고
    • Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
    • Schmidt L, Schönleber K, KrischerKand Garca-MoralesV2014 Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling Chaos 24 013102
    • (2014) Chaos , vol.24 , pp. 013102
    • Schmidt, L.1    Schönleber, K.2    Krischer, K.3    Garca-Morales, V.4
  • 48
    • 84881517921 scopus 로고    scopus 로고
    • Virtual chimera state for delayed-feedback systems
    • Lager L, Penkovsky B and Maistrenko Yu 2013 Virtual chimera state for delayed-feedback systems Phys. Rev. Lett. 111 054103
    • (2013) Phys Rev. Lett , vol.111 , pp. 054103
    • Lager, L.1    Penkovsky, B.2    Maistrenko, Yu.3
  • 50
    • 84937054260 scopus 로고    scopus 로고
    • Laser chimeras as a paradigm for multi-stable patterns in complex systems
    • Lager L, Penkovsky B and Maistrenko Yu 2015 Laser chimeras as a paradigm for multi-stable patterns in complex systems Nat. Commun. 6 7752
    • (2015) Nat Commun , vol.6 , pp. 7752
    • Lager, L.1    Penkovsky, B.2    Maistrenko, Yu.3
  • 53
    • 84923166237 scopus 로고    scopus 로고
    • Chimera states on the surface of a sphere
    • PanaggioMJ and AbramsDM2014 Chimera states on the surface of a sphere Phys. Rev. E 91 022909
    • (2014) Phys Rev e , vol.91 , pp. 022909
    • Panaggio, M.J.1    Abrams, D.M.2
  • 56
    • 33645691848 scopus 로고    scopus 로고
    • The size of the sync basin
    • Wiley D, Strogatz S and GirvanM2006 The size of the sync basin Chaos 16 015103
    • (2006) Chaos , vol.16 , pp. 015103
    • Wiley, D.1    Strogatz, S.2    Girvan, M.3
  • 57
    • 84859343967 scopus 로고    scopus 로고
    • Multistability of twisted states in nonlocally coupled Kuramoto-type models
    • Girnyk T, HaslerMand Maistrenko Yu 2012 Multistability of twisted states in nonlocally coupled Kuramoto-type models Chaos 22 013114
    • (2012) Chaos , vol.22 , pp. 013114
    • Girnyk, T.1    Hasler, M.2    Maistrenko, Yu.3
  • 58
    • 0020777803 scopus 로고
    • Singular filaments organize chemical waves in three-dimensions i Geometrically simple waves
    • Winfree A and Strogatz S 1983 Singular filaments organize chemical waves in three-dimensions: I. Geometrically simple waves Physica D8 35-49
    • (1983) Physica D , vol.8 , pp. 35-49
    • Winfree, A.1    Strogatz, S.2
  • 59
    • 0005202802 scopus 로고
    • Singular filaments organize chemical waves in three-dimensions: II. Twisted waves
    • Winfree A and Strogatz S 1983 Singular filaments organize chemical waves in three-dimensions: II. Twisted waves PhysicaD9 65-80
    • (1983) PhysicaD , vol.9 , pp. 65-80
    • Winfree, A.1    Strogatz, S.2
  • 60
    • 0040970850 scopus 로고
    • Singular filaments organize chemical waves in three-dimensions: III. Knotted waves
    • Winfree A and Strogatz S 1983 Singular filaments organize chemical waves in three-dimensions: III. Knotted waves PhysicaD9 333-45
    • (1983) PhysicaD , vol.9 , pp. 333-345
    • Winfree, A.1    Strogatz, S.2
  • 61
    • 84890107874 scopus 로고    scopus 로고
    • Interaction of a pair of parallel scroll waves
    • KupitzDand HauserM2013 Interaction of a pair of parallel scroll waves Phys. Chem. A 117 12711-8
    • (2013) Phys Chem A , vol.117 , pp. 12711-12718
    • Kupitz, D.1    Hauser, M.2
  • 62
    • 84981215901 scopus 로고    scopus 로고
    • Controlling chimeras
    • Bick Cand Martens E 2015 Controlling chimeras New J. Phys. 17 033030
    • (2015) New J Phys , vol.17 , pp. 033030
    • Bick, C.1    Martens, E.2
  • 63
    • 84881373348 scopus 로고    scopus 로고
    • Negative tension of scroll wave filaments and turbulence in three-dimensional excitable media and application in cardiac dynamics
    • Alonso S and PanfilovA 2013 Negative tension of scroll wave filaments and turbulence in three-dimensional excitable media and application in cardiac dynamics Bull. Math. Biol. 75 1351-76
    • (2013) Bull. Math. Biol , vol.75 , pp. 1351-1376
    • Alonso, S.1    Panfilov, A.2
  • 64
    • 0037436450 scopus 로고    scopus 로고
    • Taming Winfree turbulence of scroll waves in excitable media
    • Alonso S, Sagues F and Mikhailov A S 2003 Taming Winfree turbulence of scroll waves in excitable media Science 299 1722
    • (2003) Science , vol.299 , pp. 1722
    • Alonso, S.1    Sagues, F.2    Mikhailov, A.S.3
  • 65
    • 0027998932 scopus 로고
    • Persistent tangled vortex rings in generic excitable media
    • Winfree A 1994 Persistent tangled vortex rings in generic excitable media Nature 371 233-6
    • (1994) Nature , vol.371 , pp. 233-236
    • Winfree, A.1
  • 66
    • 0027971671 scopus 로고
    • Electrical turbulence in three-dimensional heart muscle
    • Winfree A 1994 Electrical turbulence in three-dimensional heart muscle Science 266 1003-6
    • (1994) Science , vol.266 , pp. 1003-1006
    • Winfree, A.1
  • 67
    • 0030093115 scopus 로고    scopus 로고
    • Spiral waves and the heart Int
    • Gray R A and Jalife J 1996 Spiral waves and the heart Int. J. Bifurcation Chaos 6 415-35
    • (1996) JBifurcation Chaos , vol.6 , pp. 415-435
    • Gray, R.A.1    Jalife, J.2


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