Rules Commander
The upkeep step does nothing for most decks, most turns — right up until a deck is built to want more of it than everyone else gets.
Upkeep is the first step of a turn, before the draw step. State-based actions are checked, and then any ability that says "at the beginning of your upkeep" — or, for a symmetrical effect, "at the beginning of each player's upkeep" — is put on the stack in whatever order the active player chooses. Everybody gets priority to respond before the game moves on to drawing a card.
Most turns, that step is a formality: a Phyrexian mana upkeep cost to pay, maybe an echo trigger, and that's it. What makes it worth a whole strategy is that the step itself can be repeated — and every upkeep trigger already in play fires again each time it is.
An extra upkeep is not a new trigger — it's a second copy of every trigger already on the board. That's the mechanism Obeka, Brute Chronologist exploits: her ability forces every opponent to take an additional upkeep step, and the game re-checks every "at the beginning of your upkeep" ability during it exactly as it would on an ordinary turn. A deck with zero upkeep triggers gets nothing from the extra step. A deck with five gets five more triggers, on every opponent, every turn she survives.
That's why a card like this is a multiplier rather than a value engine on its own — the payoff scales with how many upkeep triggers the rest of the deck is already running, which is the whole argument for building the deck around the strategy rather than splashing the card into an unrelated list.
A Time Warp effect grants a whole extra turn, which comes with its own untap, upkeep, draw and combat — so it incidentally re-triggers every upkeep ability too, on top of everything else an extra turn buys. That makes extra-turns and upkeep-triggers genuinely different strategies that support each other rather than one strategy under two names: an extra-turns deck wants more turns for the mana, the cards and the combat step, and an upkeep-triggers deck specifically wants more of the one step, which an extra turn is an expensive way to get and a card like Obeka is a cheap one.
Bloodchief Ascension ↗
The clearest "upkeep trigger as payoff" card in the format — every upkeep it sees is a step toward a one-sided Painful Quandary.
Obeka, Brute Chronologist ↗
Forces every opponent to take an extra upkeep, which multiplies every upkeep trigger already on the board rather than adding a new one of its own.
Nekusar, the Mindrazer ↗
Turns everybody's draw step into damage; paired with extra upkeeps, a wheel effect during one of those upkeeps hits twice as often.
State-based actions are checked, then triggered abilities that say "at the beginning of your upkeep" go on the stack in the active player's chosen order, then players get priority to respond before moving to the draw step. It's the first real decision point of a turn, and it's also the point most players skip past mentally because it usually does nothing.
Yes. An effect that grants an additional upkeep step causes every ability that triggers at the beginning of an upkeep to trigger again during that extra step — the game doesn't distinguish between a normal upkeep and a bonus one. That's the entire mechanism Obeka, Brute Chronologist and similar cards exploit.
They overlap but aren't identical. An extra-turns deck (Time Warp effects) is chasing more whole turns, and an upkeep-triggers deck is chasing more of one specific step. An extra turn does incidentally grant an extra upkeep along with everything else, so the two strategies support each other, but a deck can lean entirely on multiplying upkeeps (Obeka) without ever taking an extra turn.
Obeka, Brute Chronologist is the sharpest build-around: her whole ability is forcing every opponent through an extra upkeep, which multiplies every upkeep trigger on the board including her opponents' if they have any. She isn't a value engine by herself, though — she needs a deck already stacked with upkeep triggers to be worth casting.