The opinions on this are debatable. I've heard that ritalin is actually somewhat neuroprotective. You have people like Ricaurte saying that even prescribed adderall can be neurotoxic. But alas it's been used for so many decades that I doubt it's substantial at prescribed doses below or at 60mg. Ritalin as been in use for a shorter period than amphetamine, but it's also been many decades. It is also hard to say just what changes in the brain make something neurotoxic. Ritalin tends to be used before adderall, so that may point to it being a little safer; but this also may be predominately that it doesn't have as much misuse potential.
Honestly, determining whether a medication is safe or not may depend more on how extensive and long its use has been than on studies. In essence, we're kind of in the dark ages regarding how the brain works. I was under the impression that there at least aren't many studies published (with substantial credentials) on how toxic stimulants are.
I think that stimulants in general have a great potential to cause damage if abused. If you have an addictive personality, therefore, it is very prudent to stay away from them.
Doctors will generally not steer you wrong. If they prescribe it for you, they have judged that the benefits of having it outweigh the possible negative side effects/potential misuse probability.
Also, there are all kinds of opinions on the internet. If you are to make a decision on whether or not to take a medicine which may be harmful, please take into account a large variety of factors, not just the opinion of one person.
Cheers