A new discrete cucker-smale flocking model under hierarchical leadership

Chun Hsien Li; Suh Yuh Yang

doi:10.3934/dcdsb.2016062

A new discrete cucker-smale flocking model under hierarchical leadership

Chun Hsien Li
, Suh Yuh Yang

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

This paper studies the ocking behavior in a new discrete-Time Cucker-Smale model under hierarchical leadership. The features of this model are that each individual has its own intrinsic nonlinear dynamics and the inter-action between individuals follows a hierarchical leadership structure. Based on a specific matrix norm, we prove that the conditional ocking indeed occurs. Numerical experiments are given to confirm the theoretical results.

Original language	English
Pages (from-to)	2587-2599
Number of pages	13
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	21
Issue number	8
DOIs	https://doi.org/10.3934/dcdsb.2016062
State	Published - Oct 2016

Keywords

Cucker-Smale model
Discrete-Time system.
Emergence behavior
Flocking
Hierarchical lead-ership

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10.3934/dcdsb.2016062

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abstract = "This paper studies the ocking behavior in a new discrete-Time Cucker-Smale model under hierarchical leadership. The features of this model are that each individual has its own intrinsic nonlinear dynamics and the inter-action between individuals follows a hierarchical leadership structure. Based on a specific matrix norm, we prove that the conditional ocking indeed occurs. Numerical experiments are given to confirm the theoretical results.",

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AB - This paper studies the ocking behavior in a new discrete-Time Cucker-Smale model under hierarchical leadership. The features of this model are that each individual has its own intrinsic nonlinear dynamics and the inter-action between individuals follows a hierarchical leadership structure. Based on a specific matrix norm, we prove that the conditional ocking indeed occurs. Numerical experiments are given to confirm the theoretical results.

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KW - Discrete-Time system.

KW - Emergence behavior

KW - Flocking

KW - Hierarchical lead-ership

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JO - Discrete and Continuous Dynamical Systems - Series B

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A new discrete cucker-smale flocking model under hierarchical leadership

Abstract

Keywords

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