it may have many reasons. For example, simly bed contact between electrodic masse and current collector. Or some specific reaction based on phormation of new compaunds during intercalation. Or reaction with electrolytes components. Real reason it is possble to determine if this charge curve is strongly reproducible.
For constant current charging, the voltage (if measured parallel to the battery with a high ohmic voltmeter) is proportional to the internal resistance of your battery, which your diagram shows to spike and then drop twice. If reproducible, this could be due to internal chemical redox reactions (check reproducibility!) or, if the battery develops very high internal resistance some current might even be diverted to flow through your voltmeter (check its internal resistance remains several orders of magnitude higher than that of the battery at any time).