Implement doubly linked list using Java: Design a method to find the middle node of a doubly linked list using at least two ways. In the case of an even number nodes, report the node slightly left of center as the middle.

How can you tell which way is better? Evaluate your Java code using both experimental studies and asymptotic analysis.

The problem needs to have a main Java class with main() function, inside which you can demonstrate the correctness and outputs from your Java code.