6 problems

Let $v_{m,k}(0)$ denote the initial velocity of the $k$-th agent in the $m$-th component, and consider the initial velocity configuration of the nonlinear Cucker--Smale system with…

Let a Cucker–Smale model evolve on the digraph with graph-dependent parameter $gamma_g$ and delay exponent $beta$. Critical-threshold conjecture. For the digraph, the critical thre…

Composition conjecture. The composition of the system might also affect systemic risk.

Consider a system on a circle and the corresponding system on the line. The circular system is asymptotically unstable if it has an eigenvalue with positive real part, and the line…

Consider a nearest-neighbor system posed on a circle and the corresponding system posed on the line. Circular-line evolution conjecture. The circular system and the system on the l…

Let $N$ be the size of the flock, and consider a system with periodic boundary conditions and a system with a non-trivial boundary. A system is stable when its solutions converge t…