The same symmetric differential equation system can act as a stable signal propagator or as a self-oscillating signal generator, with the mode controlled by a parameter or by inhibitory-loop topology.
However, classical mode ls such as the Hodgkin-Huxley (HH) system[12], despite their biological fidelity, are often too complex to be deployed at scale
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From Propagator to Oscillator: The Dual Role of Symmetric Differential Equations in Neural Systems
The same symmetric differential equation system can act as a stable signal propagator or as a self-oscillating signal generator, with the mode controlled by a parameter or by inhibitory-loop topology.