most citedA Center Manifold Reduction Technique for a System of Randomly Coupled Oscillators

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math.DS2019

Emergence of Subcritical Bifurcations in a System of Randomly Coupled Supercritical Andronov-Hopf Oscillators: A Potential Mechanism for Neural Network Type Switching

Keith Hayton, Dimitrios Moirogiannis

Experimental evidence suggests that the computational state of cortical systems change according to behavioral and stimulus context. However, it is still unknown what mechanisms un…

math.DS2019★ 1 cited

A Center Manifold Reduction Technique for a System of Randomly Coupled Oscillators

Dimitrios Moirogiannis, Keith Hayton, Marcelo Magnasco

In dynamical systems theory, a fixed point of the dynamics is called nonhyperbolic if the linearization of the system around the fixed point has at least one eigenvalue with zero r…