Temperature Controlled Voltage Oscillation in Neural Circuit Undergoing Homoclinic Bifurcation
نویسنده
چکیده
We analyze a frequency decrease as well as a frequency transition with a temperature increase in the Hodgkin-Huxley (HH) oscillator undergoing saddle homoclinic bifurcations. A gradient of frequency for temperature is derived by perturbation analysis of the stable HH oscillators, in combination with the other gradient of frequency for input current and a so-called phase response curve (PRC) multiplied by its related voltage-gated channel currents. We then show that the PRC is clearly classified by the gradient of frequency for temperature. More interestingly, different bifurcation mechanisms of the Andronov-Hopf and the saddle-node are commonly categorized.
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