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Common card · Science
Heteroclinic orbit, a Common card
In mathematics, in the phase portrait of a dynamical system, a heteroclinic orbit is a path in phase space which joins two different equilibrium points.
- Rarity
- Common
- Domain
- Science
- ATK
- 41
- DEF
- 8
- Power
- 49
- Wikipedia reads a year
- 5,200
Power 49 (ATK + DEF).
Heteroclinic orbit quiz: 3 questions
Three questions on the Heteroclinic orbit card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
If the ______ points at the start and end of the orbit are the same, the orbit is a homoclinic orbit.
Answer
equilibrium. If the equilibrium points at the start and end of the orbit are the same, the orbit is a homoclinic orbit. From the Heteroclinic orbit article on Wikipedia.
Which of these Wikipedia articles is read the most in a year?
Answer
Haglaz. Haglaz 19,000 · Acid anhydride 13,000 · TKB-011 6,700 · Heteroclinic orbit 5,200 Wikipedia reads over a year.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- If the equilibrium points at the start and end of the orbit are the same, the orbit is a homoclinic orbit.
- Consider the continuous dynamical system described by the ordinary differential equation x ˙ = f. Suppose there are equilibria at x = x 0, x 1. Then a solution ϕ is a heteroclinic orbit from x 0 to x 1 if both limits are satisfied: ϕ → x 0 as t → − ∞, ϕ → x 1 as t → + ∞. This implies that the orbit is contained in the stable manifold of x 1 and the unstable manifold of x 0.
Why it is Common
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Heteroclinic orbit article was read about 5,200 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 41 and blocks with 8: each hit it takes is cut by 3 %.
How to get Heteroclinic orbit
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
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Credits
Text : Wikipedia, Heteroclinic orbit (revision), CC BY-SA 4.0. Photo : No machine-readable author provided. Jitse Niesen assumed (based on copyright claims)., Public domain, Wikimedia Commons.
