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math.DS2016★ 3 cited
On the region of attraction of phase-locked states for swing equations on connected graphs with inhomogeneous dampings
Young-Pil Choi, Zhuchun Li
We consider the synchronization problem of swing equations, a second-order Kuramoto-type model, on connected networks with inhomogeneous dampings. This was largely motivated by its…
math.DS2016
Sharp conditions to avoid collisions in singular Cucker-Smale interactions
Jose A. Carrillo, Young-Pil Choi, Piotr B. Mucha +1
We consider the Cucker-Smale flocking model with a singular communication weight with . We provide a critical value of the exponent in the communication w…