I read about the naming of Java variables. It says that Java variables cannot start with any numbers and special characters except for $ and _.
Some valid examples:
int count;
int _count;
int $count;
And some invalid examples:
int %count;
int 4count;
int #count;
Do the same rules apply to method names?
Yes, method names and variable names are what's called "identifiers". Identifiers all share the same rules regarding accepted characters. Take a look at §3.8 from the Java Language Specification to find out exactly what an identifier may contain, and §6.2 for an explanation about how identifiers are used.
You might be surprised when having unusual characters for method, such as:
public void mój_brzuch_zacznie_burczeć()
and it works pretty nice. Take a look at this blog to see more fancy examples.
From the Java Tutorial:
"Although a method name can be any legal identifier, code conventions restrict method names."
http://docs.oracle.com/javase/tutorial/java/javaOO/methods.html