Limit Cycles in a Model of Olfactory Sensory Neurons

We propose an approach to study small limit cycle bifurcations on a center manifold in analytic or smooth systems depending on parameters. We then apply it to the investigation of limit cycle bifurcations in a model of calcium oscillations in the cilia of olfactory sensory neurons and show that it can have two limit cycles: a stable cycle appearing after a Bautin (generalized Hopf) bifurcation and an unstable cycle appearing after a subcritical Hopf bifurcation.

Study on the Chaos Phenomenon of the DC-DC Buck Switching Power Supply

The simulation model of the DC-DC buck switching power supply was built. The chaos phenomenon of the DC-DC buck switching power supply was studied by the simulation. The simulation result showed a point was described in the chaos figure of the output voltage or current waveform of the system when the system was in a stable state. When the chaos of the system was happened for some reason, the system became unstable, cycle presented infinity and all point may not fall in the same position, at the same time also meaning the chaos phenomenon has happened, so in the figure could describe countless different point.