Numerical Simulation for Herding and Flocking Models: Analysis of the Stability of the Time Continuous Discrete Couzin-Vicsek Algorithm (CVA) in 2D and 3D - Couverture souple

Setekera, Robert

 
9783838384689: Numerical Simulation for Herding and Flocking Models: Analysis of the Stability of the Time Continuous Discrete Couzin-Vicsek Algorithm (CVA) in 2D and 3D
Couverture souple
ISBN 10 : 3838384687 ISBN 13 : 9783838384689
Editeur : LAP LAMBERT Academic Publishing, 2010

Synopsis

In this book, a time continuous version of the discrete time Couzin-Vicsek algorithm (CVA), which describes the iterations of individual among animals societies such as schools of fish and flocks of birds, is used to simulate the velocities and positions of self-driven particles (SDPs). This algorithm is based on the discrete CVA, which assumes that at each time step, the velocities and positions of the SDPs are updated, and the velocity director of each particle is change to the director of the average velocity of the neighboring particles with addition of noise. We study the behavior of the SDPs subjected to different model parameters such as the interaction radius both in noise and noise free environments, analyzing the stability of the time continuous discrete CVA-model in 2D and 3D. In addition, an improvement in the model is suggested using the Brownian motion on the unit circle and unit sphere, which always yields stable numerical solutions.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In this book, a time continuous version of the discrete time Couzin-Vicsek algorithm (CVA), which describes the iterations of individual among animals societies such as schools of fish and flocks of birds, is used to simulate the velocities and positions of self-driven particles (SDPs). This algorithm is based on the discrete CVA, which assumes that at each time step, the velocities and positions of the SDPs are updated, and the velocity director of each particle is change to the director of the average velocity of the neighboring particles with addition of noise. We study the behavior of the SDPs subjected to different model parameters such as the interaction radius both in noise and noise free environments, analyzing the stability of the time continuous discrete CVA-model in 2D and 3D. In addition, an improvement in the model is suggested using the Brownian motion on the unit circle and unit sphere, which always yields stable numerical solutions.

Biographie de l'auteur

R.Setekera, MSc: Studied Industrial Mathematics at Eindhoven University of Technology, The Netherlands and TU Kaiserslautern, Germany. He holds two MSc degrees in Industrial and Applied mathematics and a BSc in mathematics. Currently he is employed at TU Eindhoven as a Design Engineer undertaking a Professional Doctorate in Engineering.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
3838384687
ISBN 13 
9783838384689
Reliure
Broché
Nombre de pages
80
Coordonnées du fabricant
non disponible
Personne responsable
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