Chaos Boost

Chaos Boost (カオスブースト) is a move used by Shadow the Hedgehog in the game, Sonic the Hedgehog (2006). When Shadow's Action Gauge is full, he can activate Chaos Boost. The player must buy Boost Chips to upgrade it. When Shadow uses a Chaos Boost, he develops a red aura around him similar to the color of his Chaos Blast.

Levels
Level 1: Shadow obtains the power, Chaos Snap. Chaos Snap can be used to warp to a chain of up to six enemies and attack. You can obtain Chaos Snap before Kingdom Valley as the Memory Shard (Blue) for 500 Rings.

Level 2: Shadow obtains the power, Chaos Lance. This move is an upgrade to Chaos Spear. It explodes on contact. You can obtain Chaos Lance before Radical Train as the Memory Shard (Red) for 6000 Rings.

Level 3: Shadow obtains the move, Chaos Blast. This move is an explosion attack and can be used to destroy enemies multiple times. You can obtain Chaos Blast before Wave Ocean as the Memory Shard (Black) for 10000 Rings.

Mario & Sonic At The Olympic Winter Games
In Mario & Sonic At The Olympic Winter Games, Shadow's special ability was called "Chaos Boost" and was used to give the player an instantaneous boost during certain events. Other than the name, it seems to have no connection to the ability here.