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Volumn 22, Issue 2, 2010, Pages 325-330

Flocking dynamics of singularly perturbed oscillator chain and the Cucker-Smale system

Author keywords

Flocking; Particles; Singular perturbation limit; Tikhonov theory

Indexed keywords


EID: 77954315359     PISSN: 10407294     EISSN: 15729222     Source Type: Journal    
DOI: 10.1007/s10884-009-9142-9     Document Type: Article
Times cited : (48)

References (13)
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  • 2
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  • 3
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    • On the mathematics of emergence
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    • Cucker, F.1    Smale, S.2
  • 5
    • 26944446106 scopus 로고    scopus 로고
    • Noise-induced transition from translational to rotational motion of swarms
    • Erdmann U., Ebeling W., Mikhailov A.: Noise-induced transition from translational to rotational motion of swarms. Phys. Rev. E 71, 051904 (2005).
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    • Erdmann, U.1    Ebeling, W.2    Mikhailov, A.3
  • 6
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    • Particle kinetic and fluid models for phototaxis. Discrete Contin
    • Ha S.-Y., Levy D.: Particle kinetic and fluid models for phototaxis. Discrete Contin. Dyn. Syst. Ser. B 12, 77-108 (2009).
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    • Ha, S.-Y.1    Levy, D.2
  • 7
    • 70350455510 scopus 로고    scopus 로고
    • Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system
    • Ha S.-Y., Lee K., Devy D.: Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system. Commun. Math. Sci. 7, 453-469 (2009).
    • (2009) Commun. Math. Sci. , vol.7 , pp. 453-469
    • Ha, S.-Y.1    Lee, K.2    Devy, D.3
  • 8
    • 70350482936 scopus 로고    scopus 로고
    • A simple proof of Cucker-Smale flocking dynamics and mean field limit
    • Ha S.-Y., Liu J.-G.: A simple proof of Cucker-Smale flocking dynamics and mean field limit. Commun. Math. Sci. 7, 297-325 (2009).
    • (2009) Commun. Math. Sci. , vol.7 , pp. 297-325
    • Ha, S.-Y.1    Liu, J.-G.2
  • 9
    • 69249175944 scopus 로고    scopus 로고
    • From particle to kinetic and hydrodynamic description of flocking
    • Ha S.-Y., Tadmor E.: From particle to kinetic and hydrodynamic description of flocking. Kinet. Relat. Models 1, 415-435 (2008).
    • (2008) Kinet. Relat. Models , vol.1 , pp. 415-435
    • Ha, S.-Y.1    Tadmor, E.2
  • 11
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    • Cucker-Smale flocking under hierarchical leadership
    • Shen J.: Cucker-Smale flocking under hierarchical leadership. SIAM J. Appl. Math. 68, 694-719 (2007/08).
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    • Shen, J.1
  • 12
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    • Systems of differential equations containing a small parameter multiplying the derivative
    • Tikhonov A. N.: Systems of differential equations containing a small parameter multiplying the derivative. Mat. Sb. NS. 27, 147-156 (1950).
    • (1950) Mat. Sb. NS. , vol.27 , pp. 147-156
    • Tikhonov, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.