Emergent phenomena in an ensemble of Cucker–Smale particles under joint rooted leadership
From MaRDI portal
Publication:5418816
DOI10.1142/S0218202514500043zbMath1326.92075MaRDI QIDQ5418816
Zhuchun Li, Seung-Yeal Ha, Xiao-Ping Xue
Publication date: 28 May 2014
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Population dynamics (general) (92D25) Positive matrices and their generalizations; cones of matrices (15B48) Animal behavior (92D50)
Related Items
Hierarchical Cucker-Smale flocking under random interactions with time-varying failure probabilities ⋮ Stability analysis of a swarm model with rooted leadership ⋮ A new discrete Cucker-Smale flocking model under hierarchical leadership ⋮ Collision avoidance and asymptotic flocking in the delayed Cucker-Smale model with singular short range communication weights ⋮ Flocking control for Cucker–Smale model under denial‐of‐service attacks ⋮ Avoiding Collisions in Cucker--Smale Flocking Models under Group-Hierarchical Multileadership ⋮ Finite-time flocking of Cucker-Smale model with unknown intrinsic dynamics ⋮ On Flocks Under Switching Directed Interaction Topologies ⋮ Fully nonlinear Cucker-Smale model for pattern formation and damped oscillation control ⋮ Effectual leadership in flocks with hierarchy and individual preference ⋮ Emergent flocking dynamics of the discrete thermodynamic Cucker-Smale model ⋮ A revisit to the consensus for linearized Vicsek model under joint rooted leadership via a special matrix ⋮ Flocking estimates for the Cucker-Smale model with time lag and hierarchical leadership ⋮ Cucker-Smale flocking with randomly failed interactions ⋮ On the Cucker-Smale flocking with alternating leaders ⋮ Cucker-Smale flocking under rooted leadership with free-will agents ⋮ Flocking of non-identical Cucker-Smale models on general coupling network ⋮ Multi-cluster flocking behavior of the hierarchical Cucker-Smale model ⋮ Flocking of Cucker-Smale model with unit speed on general digraphs ⋮ The flocking behavior of the infinite-particle Cucker-Smale model ⋮ Critical exponent for Cucker-Smale model under group-hierarchical multi-leadership
Cites Work
- On collision-avoiding initial configurations to Cucker-Smale type flocking models
- Fluid dynamic description of flocking via the Povzner-Boltzmann equation
- A new model for self-organized dynamics and its flocking behavior
- A kinetic flocking model with diffusion
- A kind of nonnegative matrices and its application on the stability of discrete dynamical systems
- Large scale dynamics of the persistent turning Walker model of fish behavior
- On the mathematics of emergence
- Flocking with informed agents
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system
- Flocking dynamics and mean-field limit in the Cucker-Smale-type model with topological interactions
- Macroscopic limit of self-driven particles with orientation interaction
- Flocking in noisy environments
- ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES
- Time-asymptotic interaction of flocking particles and an incompressible viscous fluid
- HYDRODYNAMICS OF SELF-ALIGNMENT INTERACTIONS WITH PRECESSION AND DERIVATION OF THE LANDAU–LIFSCHITZ–GILBERT EQUATION
- ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS
- EMERGENCE OF MULTI-CLUSTER CONFIGURATIONS FROM ATTRACTIVE AND REPULSIVE INTERACTIONS
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
- DIFFUSION IN A CONTINUUM MODEL OF SELF-PROPELLED PARTICLES WITH ALIGNMENT INTERACTION
- SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE
- MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT
- Cucker–Smale Flocking under Hierarchical Leadership
- CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
- ON THE CRITICAL EXPONENT FOR FLOCKS UNDER HIERARCHICAL LEADERSHIP
- The Structure and Function of Complex Networks
- Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
- Avoiding Collisions in Flocks
- Asymptotic Stability Analysis of a Kind of Switched Positive Linear Discrete Systems $ $
- Cucker-Smale Flocking With Inter-Particle Bonding Forces
- Stochastic flocking dynamics of the Cucker–Smale model with multiplicative white noises
- Coordination of groups of mobile autonomous agents using nearest neighbor rules
- Emergent Behavior in Flocks
- APPLICATION OF FLOCKING MECHANISM TO THE MODELING OF STOCHASTIC VOLATILITY
- Cucker–Smale Flocking under Rooted Leadership with Fixed and Switching Topologies