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3 papers
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…
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…
A Nonhyperbolic Toy Model of Cochlear Dynamics
Keith Hayton, Dimitrios Moirogiannis, Marcelo Magnasco
Cochlea displays complex and highly nonlinear behavior in response to wide-ranging auditory stimuli. While there have been many recent advancements in the modeling of cochlear dyna…