Seminar 21.11.2019: Jan Haskovec
Posted: Mon Nov 11, 2019 3:50 pmSeminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations
Thursday 21.11.2019 at 14:00 Lecture room M-223
Jan Haškovec (KAUST):
Asymptotics of alignment and consensus models with delays
Abstract:
We study the impact of communication or reaction delays on the long-time behavior
of alignment/consensus models of Cucker-Smale type. For a model where agents
interact with each other through normalized communication weights,
we provide sufficient conditions for asymptotic flocking, i.e., convergence to a
common velocity vector, based on a construction of a suitable Lyapunov functional.
For a model without normalization, we present new stability estimates
for the particle flow, relating suitable delayed and non-delayed quantities.
We also briefly explain how multiplicative noise affects the long-time
dynamics and present results of systematic numerical simulations.
Seminar on Qualitative Theory of Differential Equations
Thursday 21.11.2019 at 14:00 Lecture room M-223
Jan Haškovec (KAUST):
Asymptotics of alignment and consensus models with delays
Abstract:
We study the impact of communication or reaction delays on the long-time behavior
of alignment/consensus models of Cucker-Smale type. For a model where agents
interact with each other through normalized communication weights,
we provide sufficient conditions for asymptotic flocking, i.e., convergence to a
common velocity vector, based on a construction of a suitable Lyapunov functional.
For a model without normalization, we present new stability estimates
for the particle flow, relating suitable delayed and non-delayed quantities.
We also briefly explain how multiplicative noise affects the long-time
dynamics and present results of systematic numerical simulations.