Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Synchronization of solutions to ordinary differential equations (34D06)

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Cites Work

Emergence of phase-locked states for the Kuramoto model in a large coupling regime
Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
Collective synchronization of classical and quantum oscillators
A new model for self-organized dynamics and its flocking behavior
A first-order reduction of the Cucker-Smale model on the real line and its clustering dynamics
Contractivity of transport distances for the kinetic Kuramoto equation
Chemical oscillations, waves, and turbulence
A mean-field limit of the particle swarmalator model
Large scale dynamics of the persistent turning Walker model of fish behavior
From particle to kinetic and hydrodynamic descriptions of flocking
Double milling in self-propelled swarms from kinetic theory
On the mathematics of emergence
Uniform stability and mean-field limit for the augmented Kuramoto model
Uniform stability of the Cucker-Smale model and its application to the mean-field limit
Complete cluster predictability of the Cucker-Smale flocking model on the real line
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
Synchronization analysis of Kuramoto oscillators
Relaxation dynamics of SIR-flocks with random epidemic states
Emergence of bi-cluster flocking for the Cucker–Smale model
A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid
Fully synchronous solutions and the synchronization phase transition for the finite-N Kuramoto model
Flocking and synchronization of particle models
Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
Emergent behaviors of the swarmalator model for position-phase aggregation
On Exponential Synchronization of Kuramoto Oscillators
Topological states and continuum model for swarmalators without force reciprocity
Emergent Behavior in Flocks
A quest toward a mathematical theory of the dynamics of swarms
Towards a mathematical theory of behavioral swarms
On the mathematical theory of behavioral swarms emerging collective dynamics

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