메뉴 건너뛰기




Volumn 9, Issue 2, 2013, Pages 89-92

How basin stability complements the linear-stability paradigm

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC POWER TRANSMISSION NETWORKS;

EID: 84873406497     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys2516     Document Type: Article
Times cited : (583)

References (30)
  • 1
    • 0022530614 scopus 로고
    • Low-dimensional chaos in an instance of epilepsy
    • Babloyantz, A. & Destexhe, A. Low-dimensional chaos in an instance of epilepsy. Proc. Natl. Acad. Sci. USA 83, 3513-3517 (1986).
    • (1986) Proc. Natl. Acad. Sci. USA , vol.83 , pp. 3513-3517
    • Babloyantz, A.1    Destexhe, A.2
  • 2
    • 47749115285 scopus 로고    scopus 로고
    • Computer modelling of epilepsy
    • Lytton, W. W. Computer modelling of epilepsy. Nature Rev. Neurosci. 9, 626-637 (2008).
    • (2008) Nature Rev. Neurosci. , vol.9 , pp. 626-637
    • Lytton, W.W.1
  • 4
    • 27144492961 scopus 로고    scopus 로고
    • Mutually delay-coupled semiconductor lasers: Mode bifurcation scenarios
    • Erzgräber, H. et al. Mutually delay-coupled semiconductor lasers: Mode bifurcation scenarios. Opt. Commun. 255, 286-296 (2005).
    • (2005) Opt. Commun. , vol.255 , pp. 286-296
    • Erzgräber, H.1
  • 6
    • 80054096706 scopus 로고    scopus 로고
    • Global resilience of tropical forest and savanna to critical transitions
    • Hirota, M., Holmgren, M., Van Nes, E. H. & Scheffer, M. Global resilience of tropical forest and savanna to critical transitions. Science 334, 232-235 (2011).
    • (2011) Science , vol.334 , pp. 232-235
    • Hirota, M.1    Holmgren, M.2    Van Nes, E.H.3    Scheffer, M.4
  • 7
    • 0000890960 scopus 로고
    • Thresholds and breakpoints in ecosystems with a multiplicity of stable states
    • May, R. M. Thresholds and breakpoints in ecosystems with a multiplicity of stable states. Nature 269, 471-477 (1977).
    • (1977) Nature , vol.269 , pp. 471-477
    • May . R, M.1
  • 8
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • Watts, D. J. & Strogatz, S. H. Collective dynamics of 'small-world' networks. Nature 393, 440-442 (1998).
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 9
    • 4444229670 scopus 로고    scopus 로고
    • The small world of the cerebral cortex
    • Sporns, O. & Zwi, J. The small world of the cerebral cortex. Neuroinformatics 2, 145-162 (2004).
    • (2004) Neuroinformatics , vol.2 , pp. 145-162
    • Sporns, O.1    Zwi, J.2
  • 10
    • 77952887424 scopus 로고    scopus 로고
    • Generating Statistically Correct random topologies for testing smart grid communication and control networks
    • Wang, Z., Scaglione, A. & Thomas, R. J. Generating statistically correct random topologies for testing smart grid communication and control networks. IEEE Trans. Smart Grid 1, 28-39 (2010).
    • (2010) IEEE Trans. Smart Grid , vol.1 , pp. 28-39
    • Wang, Z.1    Scaglione, A.2    Thomas, R.J.3
  • 11
    • 4243241129 scopus 로고    scopus 로고
    • Master stability functions for synchronized coupled systems
    • Pecora, L. M. & Carroll, T. L. Master stability functions for synchronized coupled systems. Phys. Rev. Lett. 80, 2109-2112 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2109-2112
    • Pecora, L.M.1    Carroll, T.L.2
  • 12
    • 3343010976 scopus 로고    scopus 로고
    • Synchronization in small-world systems
    • Barahona, M. & Pecora, L. M. Synchronization in small-world systems. Phys. Rev. Lett. 89, 054101 (2002).
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 054101
    • Barahona, M.1    Pecora, L.M.2
  • 13
    • 42749099223 scopus 로고    scopus 로고
    • Factors that predict better synchronizability on complex networks
    • Hong, H., Kim, B. J., Choi, M. Y. & Park, H. Factors that predict better synchronizability on complex networks. Phys. Rev. E 69, 067105 (2004).
    • (2004) Phys. Rev. e , vol.69 , pp. 067105
    • Hong, H.1    Kim, B.J.2    Choi, M.Y.3    Park, H.4
  • 14
    • 41149154410 scopus 로고    scopus 로고
    • Tipping elements in the earth's climate system
    • Lenton, T. M. et al. Tipping elements in the earth's climate system. Proc. Natl. Acad. Sci. USA 105, 1786-1793 (2008).
    • (2008) Proc. Natl. Acad. Sci. USA , vol.105 , pp. 1786-1793
    • Lenton, T.M.1
  • 15
    • 1442297962 scopus 로고    scopus 로고
    • Basins of attraction
    • Nusse, H. E. & Yorke, J. A. Basins of attraction. Science 271, 1376-1380 (1996).
    • (1996) Science , vol.271 , pp. 1376-1380
    • Nusse, H.E.1    Yorke, J.A.2
  • 16
    • 33645691848 scopus 로고    scopus 로고
    • The size of the sync basin
    • Wiley, D. A., Strogatz, S. H. & Girvan, M. The size of the sync basin. Chaos 16, 015103 (2006).
    • (2006) Chaos , vol.16 , pp. 015103
    • Wiley, D.A.1    Strogatz, S.H.2    Girvan, M.3
  • 17
    • 69949088984 scopus 로고    scopus 로고
    • Early-warning signals for critical transitions
    • Scheffer, M. et al. Early-warning signals for critical transitions. Nature 461, 53-59 (2009).
    • (2009) Nature , vol.461 , pp. 53-59
    • Scheffer, M.1
  • 18
    • 34248398112 scopus 로고    scopus 로고
    • Slow recovery from perturbations as a generic indicator of a nearby catastrophic shift
    • Van Nes, E. H. & Scheffer, M. Slow recovery from perturbations as a generic indicator of a nearby catastrophic shift. Am. Nature 169, 738-747 (2007).
    • (2007) Am. Nature , vol.169 , pp. 738-747
    • Van Nes, E.H.1    Scheffer, M.2
  • 19
    • 0002054228 scopus 로고
    • Resilience and stability of ecological systems
    • Holling, C. S. Resilience and stability of ecological systems. Annu. Rev. Ecol. Syst. 4, 1-23 (1973).
    • (1973) Annu. Rev. Ecol. Syst. , vol.4 , pp. 1-23
    • Holling . C, S.1
  • 22
    • 77951126500 scopus 로고    scopus 로고
    • Catastrophic cascade of failures in interdependent networks
    • Buldyrev, S. V., Parshani, R., Paul, G., Stanley, H. E. & Havlin, S. Catastrophic cascade of failures in interdependent networks. Nature 464, 1025-1028 (2010).
    • (2010) Nature , vol.464 , pp. 1025-1028
    • Buldyrev, S.V.1    Parshani, R.2    Paul, G.3    Stanley, H.E.4    Havlin, S.5
  • 24
    • 25144464991 scopus 로고    scopus 로고
    • A mechanism for cognitive dynamics: Neuronal communication through neuronal coherence
    • Fries, P. A mechanism for cognitive dynamics: neuronal communication through neuronal coherence. Trends Cogn. Sci. 9, 474-480 (2005).
    • (2005) Trends Cogn. Sci. , vol.9 , pp. 474-480
    • Fries, P.1
  • 25
    • 0035203556 scopus 로고    scopus 로고
    • Human memory formation is accompanied by rhinal-hippocampal coupling and decoupling
    • Fell, J. et al. Human memory formation is accompanied by rhinal-hippocampal coupling and decoupling. Nature Neurosci. 4, 1259-1264 (2001).
    • (2001) Nature Neurosci. , vol.4 , pp. 1259-1264
    • Fell, J.1
  • 26
    • 78751664077 scopus 로고    scopus 로고
    • The role of phase synchronization inmemory processes
    • Fell, J. & Axmacher, N. The role of phase synchronization inmemory processes. Nature Rev. Neurosci. 12, 105-118 (2011).
    • (2011) Nature Rev. Neurosci. , vol.12 , pp. 105-118
    • Fell, J.1    Axmacher, N.2
  • 27
    • 34250833203 scopus 로고    scopus 로고
    • Pathological synchronization in Parkinson's disease: Networks, models and treatments
    • Hammond, C., Bergman, H. & Brown, P. Pathological synchronization in Parkinson's disease: Networks, models and treatments. Trends Neurosci. 30, 357-364 (2007).
    • (2007) Trends Neurosci. , vol.30 , pp. 357-364
    • Hammond, C.1    Bergman, H.2    Brown, P.3
  • 28
    • 34247535888 scopus 로고    scopus 로고
    • A non-genetic basis for cancer progression and metastasis: Self-organizing attractors in cell regulatory networks
    • Huang, S. & Ingber, D.E. A non-genetic basis for cancer progression and metastasis: Self-organizing attractors in cell regulatory networks. Breast Disease 26, 27-54 (2007).
    • (2007) Breast Disease , vol.26 , pp. 27-54
    • Huang, S.1    Ingber, D.E.2
  • 29
    • 32844462374 scopus 로고    scopus 로고
    • Simulated annealing in convex bodies and an O(n4) volume algorithm
    • Lovász, L. & Vempala, S. Simulated annealing in convex bodies and an O(n4) volume algorithm. J. Comput. Syst. Sci. 72, 392-417 (2006).
    • (2006) J. Comput. Syst. Sci. , vol.72 , pp. 392-417
    • Lovász, L.1    Vempala, S.2
  • 30
    • 73649139995 scopus 로고    scopus 로고
    • Towards design principles for optimal transport networks
    • Li, G. et al. Towards design principles for optimal transport networks. Phys. Rev. Lett. 104, 018701 (2010).
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 018701
    • Li, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.