Of course it is not normal - but you know it already, since you mentioned how in past relationships this has not been happening. Very wise not wanting to bombard her with phone calls or texts. While you figure out what is happening and what can be done about it, set up a new email alias and when you feel like calling or texting this girl, write emails instead and send to that new alias. At least that would prevent you from acting on an impulse and actually calling her too frequently.