Related references
Note: Only part of the references are listed.Mean-field limit for the stochastic Vicsek model
Francois Bolley et al.
APPLIED MATHEMATICS LETTERS (2012)
A Macroscopic Model for a System of Swarming Agents Using Curvature Control
Pierre Degond et al.
JOURNAL OF STATISTICAL PHYSICS (2011)
STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING
Francois Bolley et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2011)
An interacting particle model with compact hierarchical structure
N. J. Balmforth et al.
PHYSICA D-NONLINEAR PHENOMENA (2011)
Individually-based Markov processes modeling nonlinear systems in mathematical biology
Miroslaw Lachowicz
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2011)
Inferring the structure and dynamics of interactions in schooling fish
Yael Katz et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2011)
ENTROPY AND CHAOS IN THE KAC MODEL
Eric A. Carlen et al.
KINETIC AND RELATED MODELS (2010)
Inferring individual rules from collective behavior
Ryan Lukeman et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2010)
ASYMPTOTIC FLOCKING DYNAMICS FOR THE KINETIC CUCKER-SMALE MODEL
J. A. Carrillo et al.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2010)
On the Self-Similar Asymptotics for Generalized Nonlinear Kinetic Maxwell Models
A. V. Bobylev et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2009)
Modelling cell migration strategies in the extracellular matrix
K. J. Painter
JOURNAL OF MATHEMATICAL BIOLOGY (2009)
Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
Eric Bertin et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2009)
Continuum limit of self-driven particles with orientation interaction
Pierre Degond et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2008)
State transitions and the continuum limit for a 2D interacting, self-propelled particle system
Yao-Li Chuang et al.
PHYSICA D-NONLINEAR PHENOMENA (2007)
Emergent behavior in flocks
Felipe Cucker et al.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2007)
A nonlocal continuum model for biological aggregation
Chad M. Topaz et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2006)
Boltzmann and hydrodynamic description for self-propelled particles
Eric Bertin et al.
PHYSICAL REVIEW E (2006)
Alignment of rods and partition of integers
E Ben-Naim et al.
PHYSICAL REVIEW E (2006)
Hydrodynamics and phases of flocks
J Toner et al.
ANNALS OF PHYSICS (2005)
A discrete Boltzmann-type model of swarming
L Arlotti et al.
MATHEMATICAL AND COMPUTER MODELLING (2005)
The eigenvalues of Kac's master equation
DK Maslen
MATHEMATISCHE ZEITSCHRIFT (2003)
Collective memory and spatial sorting in animal groups
ID Couzin et al.
JOURNAL OF THEORETICAL BIOLOGY (2002)
Spectral gap for Kac's model of Boltzmann equation
E Janvresse
ANNALS OF PROBABILITY (2001)
Bounds for Kac's master equation
P Diaconis et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2000)
Share Paper
