The various martial arts disciplines and sports around the world are typically based on the techniques used by fighting-type pokemon. For instance, boxing is based on a Hitmonchan's movements and techniques, and wrestling on that of a Machamp. The vast majority of these martial arts are based around ideas of strict internal calm and discipline, some even going so far as to emulate the psychic attack meditate.
The one notable exception to this was the Primeape fighting style. It was not designed for self-defense or sport, but for military use; as Primeape use tools, so do Primeape fighters use weapons. Instead of learning to clear their thoughts, they were taught to recall every indignity they had ever suffered and turn all their sadness into anger, and in battle to call up an uncontrollable rage. They would fight with unchallenged ferocity, always to the death, and pursue fleeing or even surrendered opponents over long distances with exceptional stamina before tearing them to pieces.
I refer to this discipline in the past tense, for it is no more. Through their status as elite troops, the Primeape fighters amassed a great deal of power, but the way they fought made them far more feared than loved. The warlords of Kanto who employed them secretly sent a team of envoys to the emperor to request that their use be outlawed, and the emperor eagerly complied. Some bands lay down their arms, while others turned on their masters and resisted with the kind of courage that epics are written about. They were all wiped out to the last man.
Some have attempted to resurrect the art in modern times, but none of the attempted successors have produced fighters worthy of the Primeape name.