EMERGENCE OF ANOMALOUS FLOCKING IN THE FRACTIONAL CUCKER-SMALE MODEL

Ha S-yeal, Jung J, Kuchling P (2019)
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 39(9): 5465-5489.

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Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
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Abstract / Bemerkung
In this paper, we study the emergent behaviors of the Cucker-Smale (C-S) ensemble under the interplay of memory effect and flocking dynamics. As a mathematical model incorporating aforementioned interplay, we introduce the fractional C-S model which can be obtained by replacing the usual time derivative by the Caputo fractional time derivative. For the proposed fractional C-S model, we provide a sufficient framework which admits the emergence of anomalous flocking with the algebraic decay and an l(2)-stability estimate with respect to initial data. We also provide several numerical examples and compare them with our theoretical results.
Erscheinungsjahr
Zeitschriftentitel
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Band
39
Ausgabe
9
Seite(n)
5465-5489
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Ha S-yeal, Jung J, Kuchling P. EMERGENCE OF ANOMALOUS FLOCKING IN THE FRACTIONAL CUCKER-SMALE MODEL. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2019;39(9):5465-5489.
Ha, S. -yeal, Jung, J., & Kuchling, P. (2019). EMERGENCE OF ANOMALOUS FLOCKING IN THE FRACTIONAL CUCKER-SMALE MODEL. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 39(9), 5465-5489. doi:10.3934/dcds.2019223
Ha, S. -yeal, Jung, J., and Kuchling, P. (2019). EMERGENCE OF ANOMALOUS FLOCKING IN THE FRACTIONAL CUCKER-SMALE MODEL. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 39, 5465-5489.
Ha, S.-yeal, Jung, J., & Kuchling, P., 2019. EMERGENCE OF ANOMALOUS FLOCKING IN THE FRACTIONAL CUCKER-SMALE MODEL. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 39(9), p 5465-5489.
S.-yeal Ha, J. Jung, and P. Kuchling, “EMERGENCE OF ANOMALOUS FLOCKING IN THE FRACTIONAL CUCKER-SMALE MODEL”, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, vol. 39, 2019, pp. 5465-5489.
Ha, S.-yeal, Jung, J., Kuchling, P.: EMERGENCE OF ANOMALOUS FLOCKING IN THE FRACTIONAL CUCKER-SMALE MODEL. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 39, 5465-5489 (2019).
Ha, Seung-yeal, Jung, Jinwook, and Kuchling, Peter. “EMERGENCE OF ANOMALOUS FLOCKING IN THE FRACTIONAL CUCKER-SMALE MODEL”. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 39.9 (2019): 5465-5489.