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Direct proof of unconditional asymptotic consensus in the Hegselmann-Krause model with transmission-type delay
Jan Haskovec
We present a direct proof of asymptotic consensus in the nonlinear Hegselmann-Krause model with transmission-type delay, where the communication weights depend on the particle dist…
A simple proof of asymptotic consensus in the Hegselmann-Krause and Cucker-Smale models with renormalization and delay
Jan Haskovec
We present a simple proof of asymptotic consensus in the discrete Hegselmann-Krause model and flocking in the discrete Cucker-Smale model with renormalization and variable delay. I…
Exponential asymptotic flocking in the Cucker-Smale model with distributed reaction delays
Jan Haskovec, Ioannis Markou
We study a variant of the Cucker-Smale system with distributed reaction delays. Using backward-forward and stability estimates on the quadratic velocity fluctuations we derive suff…
Exponential decay for negative feedback loop with distributed delay
Jan Haskovec
We derive sufficient conditions for exponential decay of solutions of the delay negative feedback equation with distributed delay. The conditions are written in terms of exponentia…
Well posedness and asymptotic consensus in the Hegselmann-Krause model with finite speed of information propagation
Jan Haskovec
We consider a variant of the Hegselmann-Krause model of consensus formation where information between agents propagates with a finite speed . This leads to a system o…
Auxin transport model for leaf venation
Jan Haskovec, Henrik Jönsson, Lisa Maria Kreusser +1
The plant hormone auxin controls many aspects of the development of plants. One striking dynamical feature is the self-organisation of leaf venation patterns which is driven by hig…