Cusped singularities organize mixed-mode oscillations in mutually inhibitory slow-fast systems via small-amplitude oscillations near cusp points linked to singular Hopf bifurcations, as demonstrated in two neuronal models.
Morris \ and\ author H
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Explosive synchronization arises in networks of Type-I neurons with electrical coupling on scale-free topologies when heterogeneity is weak and degree-frequency correlation is present.
Phenomenological modeling with observables for ion currents, temperature effects, and inductance provides a hybrid framework that brings mathematical descriptions of action potential propagation in axons closer to biological reality.
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Cusped singularities organize mixed-mode oscillations in mutually inhibitory slow-fast systems
Cusped singularities organize mixed-mode oscillations in mutually inhibitory slow-fast systems via small-amplitude oscillations near cusp points linked to singular Hopf bifurcations, as demonstrated in two neuronal models.
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Explosive synchronization in networks of Type-I neurons with electrical synapses
Explosive synchronization arises in networks of Type-I neurons with electrical coupling on scale-free topologies when heterogeneity is weak and degree-frequency correlation is present.
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On phenomenology of physical effects in axons
Phenomenological modeling with observables for ion currents, temperature effects, and inductance provides a hybrid framework that brings mathematical descriptions of action potential propagation in axons closer to biological reality.