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math-ph2021★ 1 cited
Existence and emergent dynamics of quadratically separable states to the Lohe tensor model
Seung-Yeal Ha, Dohyun Kim, Hansol Park
A tensor is a multi-dimensional array of complex numbers, and the Lohe tensor model is an aggregation model on the space of tensors with the same rank and size. It incorporates pre…
math-ph2020★ 15 cited
Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics
Seung-Yeal Ha, Dohyun Kim, Hansol Park +1
We present constants of motion for the finite-dimensional Lohe type aggregation models with frustration and we apply them to analyze the emergence of collective behaviors. The Lohe…