no code implementations • 20 Apr 2023 • Arshed Nabeel, Vivek Jadhav, Danny Raj M, Clément Sire, Guy Theraulaz, Ramón Escobedo, Srikanth K. Iyer, Vishwesha Guttal
We consider k = 1 (called stochastic pairwise interactions), k = 2 (stochastic ternary interactions), and k equalling all available neighbours within the interaction radius (equivalent to Vicsek-like local averaging).
1 code implementation • 17 Mar 2023 • Utkarsh Pratiush, Arshed Nabeel, Vishwesha Guttal, Prathosh AP
Collective motion is an ubiquitous phenomenon in nature, inspiring engineers, physicists and mathematicians to develop mathematical models and bio-inspired designs.
1 code implementation • 5 May 2022 • Arshed Nabeel, Ashwin Karichannavar, Shuaib Palathingal, Jitesh Jhawar, David B. Brückner, Danny Raj M., Vishwesha Guttal
Stochastic differential equations (SDEs) are an important framework to model dynamics with randomness, as is common in most biological systems.
no code implementations • 29 Mar 2021 • Sabiha Majumder, Ayan Das, Appilineni Kushal, Sumithra Sankaran, Vishwesha Guttal
In this paper, we show that demographic noise may, in fact, promote abrupt transitions in systems that would otherwise show continuous transitions.