Modern analyses to the fall of the chariot I've seen have tended to emphasize the "barbarians'" developement of steady, aggressive, decently armoured infantry armed with javelins and to a lesser degree (as they cost an arm and a leg) improved sword designs, who even if they couldn't catch the lighter chariots (the Egyptian ones for example were essentially mobile archeyr platforms) could destroy the old-style infantry line anchoring them and hence win the field virtually by default.
The war chariot didn't die out overnight of course. In one form or another it remained in use for quite a while, although it is perhaps telling that some of the last serious users dwelt in the out-of-the-way periphery of the Celtic Fringe. But it lost its central dominant place as the central tool of military power to the infantry and the upstart cavalry.
Most of the cultures whose military power was first and foremost built on the chariots had by necessity those so closely tied to their social structures (in the form of a social as well as military elite of charioteers) that they simply could not adapt even if they wanted to. Even if the chariot warriors realized they needed to change, to change the basis of the military power would have stripped them as a class of much of their rights and priviledges; and this was naturally rather inconceivable for most of them. And thus they went down swinging.
The Assyrians had developed a strong native infantry arm by the necessity of their mountainous northern border (where chariots obviously didn't work too well) and having to fight off barbarians in that direction, and also had a budding decent cavalry arm. This gave them enough flexibility to be able to see off most attempts in their direction, and look scary enough that apparently not too many were made in the first place.
The Egyptians didn't have such advantages, but they had enough loyal barbarian mercenaries in their infantry to help turn the tide. If the various invading Sea Peoples themselves didn't fit in the same sentence with "unity", one can only imagine what the relationship between them and Egypt's heterogenic mix of mercenaries from all over the place was.
The Eggies went into terminal decline very soon afterwards though.
Bookmarks