메뉴 건너뛰기




Volumn 24, Issue 8, 2014, Pages

Cascades of multiheaded chimera states for coupled phase oscillators

Author keywords

chimera states; desynchronization transition; Ensembles of phase oscillators

Indexed keywords

CHAOS THEORY; PHASE MODULATION; SYNCHRONIZATION;

EID: 84906878032     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127414400148     Document Type: Article
Times cited : (98)

References (38)
  • 1
    • 19744381710 scopus 로고    scopus 로고
    • Chimera states for coupled oscillators
    • Abrams, D. M. & Strogatz, S. H. [2004] "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
  • 2
    • 33644921219 scopus 로고    scopus 로고
    • Chimera states in a ring of nonlocally coupled oscillators
    • Abrams, D. M. & Strogatz, S. H. [2006] "Chimera states in a ring of nonlocally coupled oscillators, " Int. J. Bifurcation and Chaos 16, 21-37.
    • (2006) Int. J. Bifurcation and Chaos , vol.16 , pp. 21-37
    • Abrams, D.M.1    Strogatz, S.H.2
  • 3
    • 50249167155 scopus 로고    scopus 로고
    • Solvable model for chimera states of coupled oscillators
    • Abrams, D. M., Mirollo, R., Strogatz, S. H. & Wiley, D. A. [2008] "Solvable model for chimera states of coupled oscillators, " Phys. Rev. Lett. 101, 084103.
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 084103
    • Abrams, D.M.1    Mirollo, R.2    Strogatz, S.H.3    Wiley, D.A.4
  • 4
    • 0000119416 scopus 로고
    • On structurally unstable attracting limit sets of Lorenz attractor type
    • Afraimovich, V., Bykov, V. & Shilnikov, L. P. [1983] "On structurally unstable attracting limit sets of Lorenz attractor type, " Trans. Moscow Math. Soc. 44, 153-216.
    • (1983) Trans. Moscow Math. Soc. , vol.44 , pp. 153-216
    • Afraimovich, V.1    Bykov, V.2    Shilnikov, L.P.3
  • 5
    • 78650681474 scopus 로고    scopus 로고
    • Self-emerging and turbulent chimeras in oscillator chains
    • Bordyugov, G., Pikovsky, A. & Rosenblum, M. [2010] "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
  • 6
    • 84859343967 scopus 로고    scopus 로고
    • Mul-tistability of twisted states in non-locally coupled Kuramoto-type models
    • Girnyk, T., Hasler, M. & Maistrenko, Yu. [2012] "Mul-tistability of twisted states in non-locally coupled Kuramoto-type models, " Chaos 22, 013114.
    • (2012) Chaos , vol.22 , pp. 013114
    • Girnyk, T.1    Hasler, M.2    Maistrenko, Yu.3
  • 7
    • 0021437639 scopus 로고
    • Local and global behavior near homoclinic orbits
    • Glendinning, P. & Sparrow, C. [1984] "Local and global behavior near homoclinic orbits, " J. Stat. Phys. 35, 645-696.
    • (1984) J. Stat. Phys. , vol.35 , pp. 645-696
    • Glendinning, P.1    Sparrow, C.2
  • 9
    • 2542504827 scopus 로고    scopus 로고
    • Coexistence of coherence and incoherence in nonlocally coupled phase oscillators
    • Kuramoto, Y. & Battogtokh, D. [2002] "Coexistence of coherence and incoherence in nonlocally coupled phase oscillators, " Nonlin. Phenom. Compl. Syst. 5, 380-385.
    • (2002) Nonlin. Phenom. Compl. Syst. , vol.5 , pp. 380-385
    • Kuramoto, Y.1    Battogtokh, D.2
  • 10
    • 84881517921 scopus 로고    scopus 로고
    • Virtual chimera state for delayed-feedback systems
    • Lager, L., Penkovsky, B. & 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
  • 11
    • 67650096320 scopus 로고    scopus 로고
    • The dynamics of chimera states in heterogeneous Kuramoto networks
    • Laing, C. [2009] "The dynamics of chimera states in heterogeneous Kuramoto networks, " Physica D 238, 1569-1588.
    • (2009) Physica D , vol.238 , pp. 1569-1588
    • Laing, C.1
  • 12
    • 84859348181 scopus 로고    scopus 로고
    • Chimeras in random non-complete networks of phase oscillators
    • Laing, C., Rajendran, K. & 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
  • 13
    • 79959990554 scopus 로고    scopus 로고
    • Dynamics and pattern formation in large systems of spatially-coupled oscillators with finite response times
    • Lee, W. S., Restrepo, J. G., Ott, E. & Antonsen, T. M. [2011] "Dynamics and pattern formation in large systems of spatially-coupled oscillators with finite response times, " Chaos 21, 023112.
    • (2011) Chaos , vol.21 , pp. 023112
    • Lee, W.S.1    Restrepo, J.G.2    Ott, E.3    Antonsen, T.M.4
  • 14
    • 75849147811 scopus 로고    scopus 로고
    • Solvable model of spiral wave chimeras
    • Martens, E., Laing, C. & Strogatz, S. [2010] "Solvable model of spiral wave chimeras, " Phys. Rev. Lett. 104, 044101.
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 044101
    • Martens, E.1    Laing, C.2    Strogatz, S.3
  • 16
    • 84879084557 scopus 로고    scopus 로고
    • Chimera states in populations of nonlocally coupled chemical oscillators
    • Nkomo, S., Tinslay, M. & Showalter, K. [2013] "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    Tinslay, M.2    Showalter, K.3
  • 17
    • 38849086596 scopus 로고    scopus 로고
    • Chimera states: The natural link between coherence and incoherence
    • Omel'chenko, O., Maistrenko, Yu. & 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
  • 18
    • 77954003394 scopus 로고    scopus 로고
    • Chimera states as chaotic spatiotemporal patterns
    • Omel'chenko, O., Wolfrum, M. & Maistrenko, Yu. [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
  • 19
    • 79960634409 scopus 로고    scopus 로고
    • Loss of coherence in dynamical networks: Spatial chaos and chimera states
    • Omelchenko, I., Maistrenko, Yu., Ḧovel, P. & Scḧoll, 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    Ḧovel, P.3    Scḧoll, E.4
  • 21
    • 84859046665 scopus 로고    scopus 로고
    • Stationary patterns of coherence and incoherence in two-dimensional arrays of non-locally-coupled phase oscillators
    • Omel'chenko, O., Wolfrum, M., Yanchuk, S., Maistrenko, Yu. & Sudakov, O. [2012] "Stationary patterns of coherence and incoherence in two-dimensional arrays of non-locally-coupled phase oscillators, " 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
  • 22
    • 84878388319 scopus 로고    scopus 로고
    • When nonlocal coupling between oscillators becomes stronger: Patched synchrony or multichimera states
    • Omelchenko, I., Omel'chenko, O., Ḧovel, P. & Scḧoll, 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    Ḧovel, P.3    Scḧoll, E.4
  • 23
    • 0002366058 scopus 로고
    • Fifty problems in dynamical systems
    • Palis, J. & Pugh, C. [1974] Fifty Problems in Dynamical Systems, Springer Lecture Notes, Vol. 468.
    • (1974) Springer Lecture Notes , vol.468
    • Palis, J.1    Pugh, C.2
  • 24
    • 84874443302 scopus 로고    scopus 로고
    • Chimera states on a flat torus
    • Panaggio, M. J. & Abrams, D. M. [2013] "Chimera states on a flat torus, " Phys. Rev. Lett. 110, 094102.
    • (2013) Phys. Rev. Lett. , vol.110 , pp. 094102
    • Panaggio, M.J.1    Abrams, D.M.2
  • 25
    • 33644896024 scopus 로고    scopus 로고
    • Instability of synchronized motion in non-locally coupled neural oscillators
    • Sakaguchi, H. [2006] "Instability of synchronized motion in non-locally coupled neural oscillators, " Phys. Rev. E 73, 031907.
    • (2006) Phys. Rev. e , vol.73 , pp. 031907
    • Sakaguchi, H.1
  • 26
    • 82955165080 scopus 로고    scopus 로고
    • Integrated grid environment for massive distributed computing in neuroscience
    • Salnikov, A., Levchenko, R. & Sudakov, O. [2011] "Integrated grid environment for massive distributed computing in neuroscience, " Proc. 6th IEEE Workshop IDAACS'2011, pp. 198-202.
    • (2011) Proc. 6th IEEE Workshop IDAACS'2011 , pp. 198-202
    • Salnikov, A.1    Levchenko, R.2    Sudakov, O.3
  • 27
    • 42149089007 scopus 로고    scopus 로고
    • Clustered chimera states in delay-coupled oscillator systems
    • Sethia, G. C., Sen, A. & Atay, F. M. [2008] "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
  • 28
    • 0001234956 scopus 로고
    • A case of the existence of a denu-merable set of periodic motions
    • Shilnikov, L. P. [1965] "A case of the existence of a denu-merable set of periodic motions, " Sov. Math. Dokl. 6, 163-166.
    • (1965) Sov. Math. Dokl. , vol.6 , pp. 163-166
    • Shilnikov, L.P.1
  • 29
    • 0002997858 scopus 로고
    • The existence of a denumerable set of periodic motions in four-dimensional space in an extended neighborhood of a saddle-focus
    • Shilnikov, L. P. [1967] "The existence of a denumerable set of periodic motions in four-dimensional space in an extended neighborhood of a saddle-focus, " Sov. Math. Dokl. 8, 54-58.
    • (1967) Sov. Math. Dokl. , vol.8 , pp. 54-58
    • Shilnikov, L.P.1
  • 32
    • 42749099087 scopus 로고    scopus 로고
    • Rotating spiral waves with phase-randomized core in nonlocally coupled oscillators
    • Shima, S. I. & 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
  • 33
    • 84865731353 scopus 로고    scopus 로고
    • Chimera and phase-cluster states in populations of coupled chemical oscillators
    • Tinslay, M., Nkomo, S. & Showalter, K. [2012] "Chimera and phase-cluster states in populations of coupled chemical oscillators, " Nature Phys. 8, 662-665.
    • (2012) Nature Phys. , vol.8 , pp. 662-665
    • Tinslay, M.1    Nkomo, S.2    Showalter, K.3
  • 34
    • 33645691848 scopus 로고    scopus 로고
    • The size of the sync basin
    • Wiley, D., Strogatz, S. & Girvan, M. [2006] "The size of the sync basin, " Chaos 16, 015103.
    • (2006) Chaos , vol.16 , pp. 015103
    • Wiley, D.1    Strogatz, S.2    Girvan, M.3
  • 35
    • 79961101021 scopus 로고    scopus 로고
    • Chimera states are chaotic transients
    • Wolfrum, M. & Omel'chenko, O. [2011] "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
  • 37
    • 84862954658 scopus 로고    scopus 로고
    • The oscillating two-cluster chimera state in non-locally coupled phase oscillators
    • Zhu, Y., Li, Y., Zhang, M. & Yang, J. [2012] "The oscillating two-cluster chimera state in non-locally coupled phase oscillators, " Eur. Phys. Lett. 97, 10009.
    • (2012) Eur. Phys. Lett. , vol.97 , pp. 10009
    • Zhu, Y.1    Li, Y.2    Zhang, M.3    Yang, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.