Why Do Stars Appear to Move in a Four-Year Cycle?

[shirin]

Hello everybody!
I read that because of about 4 min difference between sidereal day and solar day, at the end of a year each star has rotated 366.25 times(apparently). I looked up in software such as Starrynight, the position of for example Sirius at 1 September of 2013, 2014, 2015 and so on. I recognized that it goes up for 3 successive years and returns back to its first position at forth year. Why is it so?

Thanks

 

[Drakkith]

Leap year?