Browsing Applied Mathematics by Subject "nlin.AO"
Now showing items 1-2 of 2
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Higher-order simplicial synchronization of coupled topological signals
(Nature Research, 2021-06-07)Simplicial complexes capture the underlying network topology and geometry of complex systems ranging from the brain to social networks. Here we show that algebraic topology is a fundamental tool to capture the higher-order ... -
Nonlinear Analogue of the May-Wigner Instability Transition
(PNAS, 2016-01)We study a system of $N\gg 1$ degrees of freedom coupled via a smooth homogeneous Gaussian vector field with both gradient and divergence-free components. In the absence of coupling, the system is exponentially relaxing ...
