Phase Transitions, Hysteresis, and Hyperbolicity for Self-Organized Alignment Dynamics

A simple proof of the Cucker-Smale flocking dynamics and mean-field limit

(2013) Seung-Yeal Ha et al.   Communications in Mathematical Sciences

Macroscopic Limits and Phase Transition in a System of Self-propelled Particles

(2012) Pierre Degond et al.   JOURNAL OF NONLINEAR SCIENCE

Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators

(2012) Giambattista Giacomin et al.   NONLINEARITY

Collective motion

(2012) Tamás Vicsek et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Dynamics in a Kinetic Model of Oriented Particles with Phase Transition

(2012) Amic Frouvelle et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Mean-field limit for the stochastic Vicsek model

(2011) François Bolley et al.   APPLIED MATHEMATICS LETTERS

A Macroscopic Model for a System of Swarming Agents Using Curvature Control

(2011) Pierre Degond et al.   JOURNAL OF STATISTICAL PHYSICS

From particle to kinetic and hydrodynamic descriptions of flocking

(2011) Eitan Tadmor et al.   Kinetic and Related Models

Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

(2010) J. A. Carrillo et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

ON THE EMERGENCE OF COLLECTIVE ORDER IN SWARMING SYSTEMS: A RECENT DEBATE

(2009) M. ALDANA et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis

(2009) Eric Bertin et al.   Journal of Physics A-Mathematical and Theoretical

Inherent noise can facilitate coherence in collective swarm motion

(2009) C. A. Yates et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION

(2008) PIERRE DEGOND et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Collective motion of self-propelled particles interacting without cohesion

(2008) Hugues Chaté et al.   PHYSICAL REVIEW E