they have that difference when appearing in a question.but when in a declarative sentence or to make an anwser,they both can be use,almost the same meaning

记得-remember (when using this to ask a question with no inclination about you might forget or not) 想起来-clear about something after recalling a while（people use this ask when you seem to have forgetten something or guess you might have forgotten ,and also like a remind for you to recall it ) so, 你记得吗 你想起来了吗

记得：是一种状态 --->你还记得我吗？ r u still remembering me? 想起来： 是一个动作 --->你还能想起来我吗？ can u recall me?

記得: you remember something all the time and you never forget it. 想起來: maybe you forgot something you remembered before. But now you remember it, or recall it suddenly.

“记得”解释为想得起来，没有忘记. 如：记得他的模样儿 remember what he looked like. " 想起來" 解释为回忆. 想起来也就是大脑去回忆的过程. 人的大脑就像一台计算机,如果搜索到了， 也就想起来，记得了。如：这首歌使我回想起在中国的留学生活。 The song brought back to my mind the days when I was studying in China.