A quick google search results in multiple well cited articles discussing it.
Probably the best and most researched article on this.
Bullet point 4 here: http://www.leangains.com/2010/10/top-ten-fasting-myths-debun... has an article reference.
Basically, you can certainly go into starvation mode, but not in any reasonable amount of time. Skipping meals or even fasting for a whole day will not cause "starvation mode". Prolonged calorie restriction can affect hormones like Leptin and affect energy expenditure.