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3 bird flocks avoid each other in the sky

3 bird flocks avoid each other in the sky. Whatโ€™s the dynamics?

Complex butโ€ฆ also simple. Let me explain:

๐Ÿ”ด SOURCE CODE & ARTICLE: https://community.wolfram.com/groups/-/m/t/3166791

BOiDS is a popular simple model to simulate flocking behavior of birds, fish, and other social entities. BOiDS show emergent behavior, where simple local rules induce complex global dynamics. For single species a typical BOiDS algorithm can look like this: (1) Separation: avoid collision (2) Alignment: do like others around (3) Cohesion: steer towards average.

Various alternatives or generalizations are possible. We can go to arbitrary number of abstract spacial dimensions beyond the three we live in. Multiple โ€œspeciesโ€ is also interesting because it introduces segregation and fission-fusion behavior. We can make different birds to be short- or long-sighted and find that shortsighted tend to keep to the core and longsighted to the periphery.

For the technical analysis and code see Christopher Wolframโ€™s article at the link above. Thanks!

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3๋งˆ๋ฆฌ์˜ ์ƒˆ ๋–ผ๊ฐ€ ํ•˜๋Š˜์—์„œ ์„œ๋กœ๋ฅผ ํ”ผํ•ฉ๋‹ˆ๋‹ค. ์—ญํ•™์€ ๋ฌด์—‡์ž…๋‹ˆ๊นŒ? ๋ณต์žกํ•˜์ง€๋งŒ โ€ฆ ๋˜ํ•œ ๊ฐ„๋‹จํ•ฉ๋‹ˆ๋‹ค. ์„ค๋ช…ํ•ด ๋“œ๋ฆฌ๊ฒ ์Šต๋‹ˆ๋‹ค.

๐Ÿ”ด ์†Œ์Šค ์ฝ”๋“œ ๋ฐ ๊ธฐ์‚ฌ : https://community.wolfram.com/groups/-/m/t/3166791

BOiDS๋Š” ์ƒˆ, ๋ฌผ๊ณ ๊ธฐ ๋ฐ ๊ธฐํƒ€ ์‚ฌํšŒ์  ๊ฐœ์ฒด์˜ ๋ฌด๋ฆฌ ์ง“๊ธฐ ๋™์ž‘์„ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ํ•˜๋Š” ๋ฐ ๋„๋ฆฌ ์‚ฌ์šฉ๋˜๋Š” ๊ฐ„๋‹จํ•œ ๋ชจ๋ธ์ž…๋‹ˆ๋‹ค. BOiDS๋Š” ๋‹จ์ˆœํ•œ ๋กœ์ปฌ ๊ทœ์น™์ด ๋ณต์žกํ•œ ๊ธ€๋กœ๋ฒŒ ์—ญํ•™์„ ์œ ๋„ํ•˜๋Š” ์ฐฝ๋ฐœ์  ํ–‰๋™์„ ๋ณด์—ฌ์ค๋‹ˆ๋‹ค. ๋‹จ์ผ ์ข…์˜ ๊ฒฝ์šฐ ์ผ๋ฐ˜์ ์ธ BOiDS ์•Œ๊ณ ๋ฆฌ์ฆ˜์€ ๋‹ค์Œ๊ณผ ๊ฐ™์„ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค: (1) ๋ถ„๋ฆฌ: ์ถฉ๋Œ ํ”ผํ•˜๊ธฐ (2) ์ •๋ ฌ: ์ฃผ๋ณ€์˜ ๋‹ค๋ฅธ ์‚ฌ๋žŒ๋“ค์ฒ˜๋Ÿผ ํ•˜๊ธฐ (3) ์‘์ง‘๋ ฅ: ํ‰๊ท ์„ ํ–ฅํ•ด ์กฐ์ข…ํ•ฉ๋‹ˆ๋‹ค.

๋‹ค์–‘ํ•œ ๋Œ€์•ˆ ๋˜๋Š” ์ผ๋ฐ˜ํ™”๊ฐ€ ๊ฐ€๋Šฅํ•ฉ๋‹ˆ๋‹ค. ์šฐ๋ฆฌ๋Š” ์šฐ๋ฆฌ๊ฐ€ ์‚ด๊ณ  ์žˆ๋Š” ์„ธ ๊ฐ€์ง€ ์ฐจ์›์„ ๋„˜์–ด์„œ๋Š” ์ถ”์ƒ์ ์ธ ๊ณต๊ฐ„์  ์ฐจ์›์˜ ์ž„์˜์˜ ์ˆ˜๋กœ ๊ฐˆ ์ˆ˜ ์žˆ๋‹ค. ๋‹ค์ค‘ โ€œ์ข…โ€์€ ๋ถ„๋ฆฌ์™€ ํ•ต๋ถ„์—ด-์œตํ•ฉ ํ–‰๋™์„ ๋„์ž…ํ•˜๊ธฐ ๋•Œ๋ฌธ์— ํฅ๋ฏธ๋กญ์Šต๋‹ˆ๋‹ค. ์šฐ๋ฆฌ๋Š” ๋‹ค๋ฅธ ์ƒˆ๋“ค์„ ๊ทผ์‹œ ๋˜๋Š” ์›์‹œ๋กœ ๋งŒ๋“ค ์ˆ˜ ์žˆ์œผ๋ฉฐ, ๊ทผ์‹œ๋Š” ํ•ต์‹ฌ์„ ์œ ์ง€ํ•˜๊ณ  ์›์‹œ๋Š” ์ฃผ๋ณ€๋ถ€์— ๋จธ๋ฌด๋ฅด๋Š” ๊ฒฝํ–ฅ์ด ์žˆ์Œ์„ ์•Œ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.

๊ธฐ์ˆ ์  ๋ถ„์„ ๋ฐ ์ฝ”๋“œ๋Š” ์œ„ ๋งํฌ์— ์žˆ๋Š” Christopher Wolfram์˜ ๊ธฐ์‚ฌ๋ฅผ ์ฐธ์กฐํ•˜์‹ญ์‹œ์˜ค. ๊ฐ์‚ฌ!

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