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Volumn 70, Issue 6 2, 2004, Pages

Pattern formation in a two-dimensional array of oscillators with phase-shifted coupling

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; INTEGRATION; MATHEMATICAL MODELS; NUMERICAL METHODS; PHASE SHIFT; PHASE SHIFTERS; PROBLEM SOLVING; SYNCHRONIZATION;

EID: 41349107163     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.065201     Document Type: Article
Times cited : (53)

References (23)
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    • V. K. Vanag and I. R. Epstein, Science 294, 835 (2001); Y. Gong and D. J. Christini, Phys. Rev. Lett. 90, 088302 (2003); E. M. Nicola et al., J. Phys. Chem. 108, 14733 (2004).
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    • V. K. Vanag and I. R. Epstein, Science 294, 835 (2001); Y. Gong and D. J. Christini, Phys. Rev. Lett. 90, 088302 (2003); E. M. Nicola et al., J. Phys. Chem. 108, 14733 (2004).
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    • note
    • grp have opposite signs if α<0.
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    • note
    • →'s with the magnitudes comparable to ρ, since these perturbations do not change the characteristic length scale. Considering the exact formula, we can show that sign of each extremum of Eq. (6) correctly determines the stability of the modes with the corresponding ρ, as long as ρ is not too large. For sufficiently large ρ, Re(η) asymptotically approaches to 0, which is consistent with Eq. (6).
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  • 23


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.