Phase synchronization and generalized synchronization in doubly driven chaotic oscillators

Phase synchronization(PS) and generalized synchronization(GS) of a chaotic oscillator driven by two chaotic signals is investigated. Anti-biased PS and biased GS in the presence of biased coupling are found, i.e., the response oscillator can be phase synchronized (generally synchronized) by the drive with a weaker (stronger) coupling rather than the stronger (weaker) driver. The mechanism for these behaviors are explored.