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脈拍と同期する光の明滅空間のデザイン

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⬦ᢿ࡜ྠᮇࡍࡿගࡢ᫂⁛✵㛫ࡢࢹࢨ࢖ࣥ

▼ᕝ ▖



  す ⿱Ꮚ



  Ḉἑ ⦾





Design of a Space by Flashing Lights Synchronized with Heartbeat Hitomi Ishikawa*1 Hiroko Nishi*1 and Shigeru Sakurazawa*1



Abstract ̿ 㠀⥺ᙧࡢ⮬ບ᣺ື⣔ࢆ⤖ྜࡍࡿ࡜㸪ࠕᘬࡁ㎸ࡳࠖ࡜࿧ࡤࢀࡿྠᮇ⌧㇟ࡀ㉳ࡁࡿ㸬ᡃࠎࡣ㸪ࡇࡢࢲ

࢖ࢼ࣑ࢡࢫ࡟ࡼࡾࣄࢺࡢ⬦ᢿ࡟ྠᮇࡍࡿ᫂⁛ගࢆ฼⏝ࡋ࡚㸪ࣜࣛࢡࢮ࣮ࢩࣙࣥ✵㛫ࢆᵓᡂࡍࡿࡇ࡜ࢆ┠ᣦࡋ࡚࠸ ࡿ㸬ᮏ◊✲࡛ࡣࡑࡢᇶ♏◊✲࡜ࡋ࡚㸪ᘬࡁ㎸ࡳ⌧㇟ࡢࢲ࢖ࢼ࣑ࢡࢫࢆ฼⏝ࡋࡓ࣍ࢱࣝࢩࢫࢸ࣒ࢆᵓᡂࡋ㸪⬦ᢿ࡜ ᫂⁛ගࡢྠᮇࡀࡶࡓࡽࡍࣜࣛࢡࢮ࣮ࢩࣙࣥຠᯝࡢ᭷↓ࢆㄪ࡭ࡓ㸬ࡇࡇ࡛ࡣ van der Pol ᪉⛬ᘧ࡟ࡼࡿྠᮇ໬ࡢᡂຌ ࡜㸪⬦ᢿ࡟ྠᮇࡍࡿ᫂⁛ගࡀ⬻࡟ȘἼࢆㄏⓎࡍࡿຠᯝࡀ࠶ࡿࡇ࡜ࢆ♧ࡍ㸬



Keywords : Entrainment, Synchronization, Fireflies  1㸬ࡣࡌࡵ࡟ ᮾ༡࢔ࢪ࢔࡛ࡣᩘ༓ࠊᩘ୓࡜࣍ࢱࣝࡀ㞟ࡲࡗ࡚ 㞟ᅋࢆᙧᡂࡋ㸪ྠ᫬᫂⁛ࢆ⧞ࡾ㏉ࡍࡇ࡜ࡀ▱ࡽࢀ ࡚࠸ࡿ[1]㸬ࡲࡓ㸪ࢥࣥࢧ࣮ࢺ࡞࡝࡛ᢿᡭࡀἛࡁ ୖࡀࡿ࡜ࡁ㸪ᢿᡭࡢࢸ࣏ࣥࡣே࡟ࡼࡗ࡚␗࡞ࡾ࡞ ࡀࡽࡶḟ➨࡟ࢸ࣏ࣥࡀ⤫୍ࡉࢀ㸪ࣜࢬ࣑࢝ࣝ࡞ᢿ ᡭ࡟࡞ࡿࡇ࡜ࡀ࠶ࡿ㸬ࡇࡢࡼ࠺࡟ࠊ஫࠸࡟␗࡞ࡿ ᅛ᭷᣺ືᩘࢆᣢࡘ᣺ືᏊࡀ㸪ࡑࢀࡒࢀࡢᅛ᭷᣺ື ᩘ࠿ࡽࡎࢀ࡚ྠᮇࡍࡿ⌧㇟ࢆᘬࡁ㎸ࡳ⌧㇟࡜࠸ ࠺㸬ᡃࠎࡣ㸪≉࡟ࡇࡢࡼ࠺࡞⏕య࡟㉳ࡁࡿᘬࡁ㎸ ࡳ⌧㇟ࡀ㸪ࡑࢀࢆయឤࡍࡿ⪅࡟ゝ࠸▱ࢀࡠἐධឤ ࡸᚰᆅⰋࡉࢆࡶࡓࡽࡍࡇ࡜ࢆ⤒㦂ⓗ࡟▱ࡗ࡚࠸ ࡿ㸬ࡑࡢࡇ࡜࠿ࡽ㸪⎔ቃ࡟࠶ࡿຊᏛ⣔ࡢࣜࢬ࣒ࡀ ㌟యࡢࣜࢬ࣒࡟ྜ࠺ࡇ࡜࡜㸪㌟యࡢࣜࣛࢵࢡࢫ࡜ ࡢ㛫࡟ࡣ㸪ఱ࠿ᙉ࠸㛵㐃ࡀ࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬ࢫ ࢺࣞࢫࡢከ࠸⌧௦ࡢ♫఍࡟࠾࠸࡚㸪ࣜࣛࢡࢮ࣮ࢩ ࣙࣥࡢ㟂せࡣ㧗ࡲࡗ࡚࠸ࡿ㸬ࡑࡇ࡛ᡃࠎࡣ㸪ࡇࡢ ᘬࡁ㎸ࡳࢆຠᯝⓗ࡟฼⏝ࡍࡿࡇ࡜࡛㸪ࣜࣛࢡࢮ࣮ ࢩࣙࣥຠᯝࢆࡶࡓࡽࡍ✵㛫ࢆࢹࢨ࢖ࣥࡍࡿࡇ࡜ ࢆ⪃࠼ࡓ㸬ලయⓗ࡟ࡣ㸪ほ ⪅ࡢ⬦ᢿ࡜ྠᮇࡍࡿ ᫂⁛ࢩࢫࢸ࣒ࠕ࣍ࢱࣝࠖࢆ〇సࡋ㸪ࡑࢀࡽࢆከᩘ ᩓࡾࡤࡵࡿࡇ࡜࡛㸪ἐධឤࡸᚰᆅⰋࡉࢆࡶࡓࡽࡍ ගࡢ᫂⁛✵㛫ࡢࢹࢨ࢖ࣥࢆ┠ᣦࡋ࡚࠸ࡿ㸬ᮏ◊✲ ࡛ࡣࡑࡢᇶ♏◊✲࡜ࡋ࡚㸪ᘬࡁ㎸ࡳ⌧㇟ࡢࢲ࢖ࢼ ࣑ࢡࢫࢆ฼⏝ࡋࡓ࣍ࢱࣝࣔࢪ࣮ࣗࣝࢆᵓᡂࡋ㸪ࡑ ࡢືసࢆ☜ㄆࡋࡓ㸬ࡇࡇ࡛ࡣ van der Pol ᪉⛬ᘧ࡟ ࡼࡿྠᮇ໬࡟ᡂຌࡋࡓ㸬ࡑࡋ࡚᭦࡟㸪⬦ᢿ࡜᫂⁛ ගࡢྠᮇࡀࡶࡓࡽࡍࣜࣛࢡࢮ࣮ࢩࣙࣥຠᯝࡢ᭷ ↓ࢆㄪ࡭ࡓ㸬ࡑࡢ⤖ᯝ࡜ࡋ࡚㸪⬦ᢿ࡟ྠᮇࡍࡿ᫂ ⁛ගࡀ⬻࡟ȘἼࢆㄏⓎࡍࡿຠᯝࡀ࠶ࡿࡇ࡜ࢆ♧ ࡍ㸬 2㸬ඛ⾜◊✲ 㔝ἑࡽࡣ㸪࣍ࢱࣝࢆᶍᨃࡋࡓ⮬ບ᣺ືᏊࢆ⏝࠸ ࡓᐇ㦂⿦⨨ࢆ〇సࡋ㸪ࡑࢀࡽࡢ㛫ࡢ┦஫ᘬࡁ㎸ࡳ ࡢྠᮇࣃࢱ࣮ࣥࢆㄪ࡭ࡓ[2]㸬ࡑࡢ⤖ᯝ㸪⿦⨨ࢆ ஧ࡘ୪࡭ࡓሙྜ㸪㞳ࢀࡓ≧ែ࡛ࡣྛࠎᅛ᭷ࡢ᣺ື ࡛Ⓨගࡋ㸪㏆࠸≧ែࡔ࡜஫࠸࡟ᙳ㡪ࡋྜ࠸㸪ྠᮇ Ⓨගࡋࡓ㸬ከᩘ୪࡭ࡓሙྜ࡛ࡶ㸪㞳ࢀࡓ≧ែ࡛ࡣ㸪 ᣺ືᏊࡢᅛ᭷᣺ືᩘࡀ㏆࠸ࡶࡢྠኈ࡛ࢢ࣮ࣝࣉ ࢆసࡾ㸪ࡑࢀࡒࢀ␗࡞ࡗࡓ࿘Ἴᩘ࡛ྠᮇࡋ㸪㏆࠸ ≧ែࡔ࡜ྠᮇࡍࡿࢢ࣮ࣝࣉᩘࡀᑡ࡞ࡃ࡞ࡗࡓ㸬 ୖグࡢ◊✲࡜ᮏ◊✲ࡣ㸪ᘬࡁ㎸ࡳࢆ㉳ࡇࡍ࣍ࢱ ࣝࢆᶍᨃࡋࡓࢩࢫࢸ࣒ࢆ〇సࡋࡓⅬ࡛ඹ㏻ࡋ࡚ ࠸ࡿ㸬ࡋ࠿ࡋ㸪ࡑࡢ᣺ࡿ⯙࠸ࢆぢࡓ࡜ࡁࡢほᐹ⪅ ࡢ⏕యಙྕࡢィ ࡸ㸪⬦Ἴࣔࢪ࣮ࣗࣝ࡜ྠᮇࣔࢪ ࣮ࣗࣝࡢගࡢ᫂⁛ࡢᘬࡁ㎸ࡳࡣᐇ⌧ࡉࢀ࡚࠸࡞ ࠸㸬ࡑࡇ࡛ᡃࠎࡣ㸪⿕㦂⪅ࡀ⬦Ἴࣔࢪ࣮ࣗࣝ࡜ྠ ᮇࣔࢪ࣮ࣗࣝࡢගࡢ᫂⁛ࡢ࿘ᮇࡸ఩┦ࡀᘬࡁ㎸ ࡳࢆ㉳ࡇࡍ᣺ࡿ⯙࠸ࢆぢࡓ࡜ࡁࡢ⏕యಙྕࢆィ  㸪ホ౯ࡋ㸪ࣜࣛࢡࢮ࣮ࢩࣙࣥࢩࢫࢸ࣒࡟ᛂ⏝ࡍࡿ㸬 3㸬࣍ࢱࣝࣔࢪ࣮ࣗࣝࡢࢩࢫࢸ࣒ᵓᡂ ᡃࠎࡣ㸪࣍ࢱࣝࡢ㞟ᅋྠᮇⓎගࡢ⨾ࡋࡉ࡜㸪ᛮ ࢃࡎᘬࡁ㎸ࡲࢀࡿࡼ࠺࡞ἐධឤࢆᇶ࡟ࢩࢫࢸ࣒ ࡢ࢔࢖ࢹ࢕࢔ࢆⓎ᝿ࡍࡿ࡟⮳ࡗࡓ㸬ࡼࡗ࡚㸪ᙧ≧ࡸ ࡑࡢືែࡣ࣍ࢱࣝࢆ࢖࣓࣮ࢪࡉࡏࡿࡶࡢ࡜ࡋࡓ㸬࣍ ࢱࣝࣔࢪ࣮ࣗࣝࡣ㸪⬦ᢿࡢࣜࢬ࣒࡟ྜࢃࡏ࡚᫂⁛ ࡍࡿ⬦Ἴࣔࢪ࣮ࣗࣝ࡜㸪ᘬࡁ㎸ࡳࢆ㉳ࡇࡋ⬦Ἴࣔ ࢪ࣮ࣗࣝࡢ᫂⁛࡟ྜࢃࡏ࡚ྠᮇⓎගࡍࡿྠᮇࣔ ࢪ࣮ࣗࣝ࠿ࡽᡂࡿ㸬 ᡃࠎࡣࡇࢀࡽࢆ㸪ᅗ 1 ࡟♧ࡍࡼ࠺࡞ 10cm™7cm ࡢ୸ࡳࢆᖏࡧࡓᙧ≧ࡢᐜჾ࡟ᐇ⿦ࡋࡓ㸬⬦Ἴࣔࢪ ࣮ࣗࣝ࡟ࡣ⾑ᾮࡸᚰ⮚ࢆ࢖࣓࣮ࢪࡋࡓ㉥Ⰽࡢ *1 :බ❧ࡣࡇࡔ࡚ᮍ᮶኱Ꮫ, {b1007017, g2110032, sakura} @fun.ac.jp *1 : Future University-Hakodate エンタテインメントコンピューティング 2010

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LED ࢆ౑⏝ࡋ㸪ྠᮇࣔࢪ࣮ࣗࣝ࡟ࡣ࣍ࢱࣝࡢⓎ ගࢆ࢖࣓࣮ࢪࡋࡓ⥳Ⰽࡢ LED ࢆ౑⏝ࡋࡓ㸬LED ࡢ᫂⁛ไᚚ࡟ࡣ PIC(Microchip, 16F873A)ࢆ౑⏝ ࡋࡓ㸬࣍ࢱࣝࡢࡼ࠺࡞ᰂࡽ࠿࠸ගࢆᐇ⌧ࡍࡿࡓࡵ㸪 LED ࡢගࢆ༙㏱᫂࡞ࢩࣜࢥ࣮࡛ࣥ࣎ࣝᣑᩓࡉࡏ ࡓ㸬⬦Ἴࣔࢪ࣮ࣗࣝࡣᢿືࢆ⾲⌧ࡍࡿࣔࢪ࣮ࣗࣝ ࡛࠶ࡿࡇ࡜࠿ࡽ㸪㤳࠿ࡽ࠿ࡅ࡚ᚰ⮚௜㏆࡟௜ࡅࡽ ࢀࡿࡼ࠺࡟ࡋࡓ(ᅗ 2)㸬ࡲࡓ㸪࣮ࣘࢨ࣮ࡢ࿘ᅖ࡟ ࣍ࢱࣝࡀᏑᅾࡋ࡚࠸ࡿࡼ࠺࡞✵㛫ࢆࢹࢨ࢖ࣥࡍ ࡿࡓࡵ㸪ྠᮇࣔࢪ࣮ࣗࣝࡣቨ㠃࡟ྲྀࡾ௜ࡅࡽࢀࡿ ௙ᵝ࡜ࡋࡓ(ᅗ 3)㸬  ᅗ 1. ⬦Ἴࣔࢪ࣮ࣗࣝ(ᕥ)࡜ྠᮇࣔࢪ࣮ࣗࣝ(ྑ㸧 Fig. 1 Cardio pulse module and Synchronous module



ᅗ 2. ⬦Ἴࣔࢪ࣮ࣗࣝ╔⏝ࡢᵝᏊ Fig. 2 A subject wearing cardio pulse module

ᅗ 3. ྠᮇࣔࢪ࣮ࣗࣝࡢቨ㠃㓄⨨ Fig. 3 The synchronous module attached

on a wall ⬦Ἴࣔࢪ࣮ࣗࣝࡣ㸪⪥ᮕ࡟⿦╔ࡋࡓ࢖࣮ࣖࢧࣥ ࢧ㸦Senoh㸧࡟ࡼࡾࣔࢽࢱ࣮ࡉࢀࡿ⬦Ἴ࡟ྜࢃࡏ ࡚ LED ࡀ᫂⁛ࡍࡿࡼ࠺ᵓᡂࡉࢀࡓ㸬࢖࣮ࣖࢭࣥ ࢧ࣮ෆ࡟ࡣ㉥እࡢⓎගࢲ࢖࣮࢜ࢻ࡜ࣇ࢛ࢺࢲ࢖ ࣮࢜ࢻࡀᑐྥࡍࡿᙧ࡛ෆⶶࡉࢀ㸪⪥ᮕࡢ⾑୰࣊ࣔ ࢢࣟࣅࣥ㔞࡟౫Ꮡࡋ࡚ኚ໬ࡍࡿ㉥እ⥺ࡢ㏱㐣ග ᙉᗘ࡟ࡼࡾ㠀౵く࡛⾑ᾮࡢ⬦ືࢆ᳨ฟࡋ࡚࠸ࡿ㸬 ⬦Ἴࣔࢪ࣮ࣗࣝࡢ LED ࡢ᫂⁛ගࡣ㸪⬦Ἴࡢࣆ࣮ ࢡ᳨ฟ๓ࡣ᳨ฟࡉࢀࡓ⬦Ἴ࡟ྜࢃࡏ࡚᫂ࡿࡃ࡞ ࡾ㸪ࣆ࣮ࢡᚋࡣᣦᩘ㛵ᩘ࡟ࡼࡗ࡚ᬯࡃ࡞ࡿࡼ࠺࡟ ไᚚࡋࡓ㸬 ྠᮇࣔࢪ࣮ࣗࣝࡣ㸪⬦Ἴࣔࢪ࣮ࣗࣝࡢගࢆཷග ࡋ࡞ࡀࡽ᫂⁛ࡍࡿ㸬ࡑࡢᅇ㊰ࢆᅗ 4 ࡟♧ࡍ㸬 ᅗ 4. ྠᮇࣔࢪ࣮ࣗࣝࡢᅇ㊰ᅗ Fig. 4 Schematic circuit diagram ofsynchronous

module

᫂⁛ࡢྠᮇ໬࣓࢝ࢽࢬ࣒ࡣࣉࣟࢢ࣒ࣛ࡜ࡋ࡚

PIC࡟᭩ࡁ㎸ࡲࢀ㸪⌧ẁ㝵࡛௨ୗࡢ 2 ㏻ࡾࡢࣔࢪ

࣮ࣗࣝࢆᵓᡂࡋࡓ㸬

୍ࡘࡣ㸪van der Pol ᪉⛬ᘧࡢ⮬ບ᣺ື࡟ࡼࡗ࡚ ᫂⁛ࡍࡿࣔࢪ࣮ࣗࣝ࡜ࡋࡓ㸬ࡑࡢእຊ㡯࡟㸪௚ࡢ ࣔࢪ࣮ࣗࣝࡢ᫂⁛࡜ࡢᕪ࡟ẚ౛ࡋࡓຊࢆຍ࠼ࡿ ࡇ࡜࡛஫࠸ࡢࣔࢪ࣮ࣗࣝࡀ⤖ྜࡉࢀ㸪ᮏ᮶ࡢᘬࡁ ㎸ࡳࡀ㉳ࡁࡿࡇ࡜ࡀᮇᚅࡉࢀࡿ㸬ࡇࡢࢩࢫࢸ࣒࡛ ᐇ㝿࡟ᮏ᮶ࡢᘬࡁ㎸ࡳࡀᐇ⌧ࡉࢀࡿ࠿ྰ࠿ࢆ᳨ ウࡋࡓ㸬ලయⓗ࡟ࡣᘧ(1), (2)࡟♧ࡍ㸦2 ࡘࡢ㠀⥺ ᙧࡢ᣺ࡾᏊࢆࣂࢿ࡛⤖ྜࡋࡓࡼ࠺࡞⣔ࢆ᝿ᐃࡋ ࡓ㸧ᚤศ᪉⛬ᘧࢆࣝࣥࢤࢡࢵࢱἲ࡛ᕪศ໬ࡋ㸪PIC

(3)

࡟⤌ࡳ㎸ࢇࡔ㸬    = −  sin− (− ) − (− ) ࣭࣭࣭࣭࣭(1)    = −  sin− (− ) − (− ) ࣭࣭࣭࣭࣭(2) ࡓࡔࡋ1㸪2ࡣ 2 ࡘࡢ᣺ࡾᏊࡢࡑࢀࡒࢀࡢ᣺ࢀゅ㸪 0ࡣ᣺ࡾᏊ࡟ാࡃᙉไຊ࣭᚟ඖຊࡀධࢀ᭰ࢃࡿゅ ᗘ㸪g ࡣ㔜ຊຍ㏿ᗘ㸪l ࡣ᣺ࡾᏊࡢ㛗ࡉ㸪ࡣᙉไ ຊ࣭᚟ඖຊࡢᙉࡉ㸪k ࡣ 2 ࡘࡢ᣺ࡾᏊࡢ㛫ࡢ⤖ྜ ᙉᗘ࡜ࡍࡿ㸬 ࡇࡢ1㸪2ࢆࡑࢀࡒࢀࡢࣔࢪ࣮ࣗࣝࡢගᙉᗘ࡜ ࡋࡓ㸬ᘧ(1)࡟࠾ࡅࡿ2ࡣ㸪ࣔࢪ࣮ࣗࣝ 1 ࡢཷග ⣲Ꮚ࡛ ᐃࡉࢀࡓࣔࢪ࣮ࣗࣝ 2 ࡢගᙉᗘ㸪ᘧ(2) ࡟࠾ࡅࡿ1ࡣ㸪ࣔࢪ࣮ࣗࣝ 2 ࡢཷග⣲Ꮚ࡛ ᐃࡉ ࢀࡓࣔࢪ࣮ࣗࣝ 1 ࡢගᙉᗘ࡜ࡋࡓ㸬 ࡶ࠺୍ࡘࡣ㸪ᚰᢿ࡟ྠᮇࡍࡿ᫂⁛ගࡢࣜࣛࢡࢮ ࣮ࢩࣙࣥຠᯝࢆホ౯ࡍࡿࡓࡵࡢᐇ㦂࡟࠾࠸࡚㸪᮲ ௳ࢆࢥࣥࢺ࣮ࣟࣝࡍࡿࡓࡵ࡟㸪ᐜ᫆࡟ྠᮇࡋ࡚ᨃ ఝⓗ࡞ᘬࡁ㎸ࡳࢆࡳࡏࡿࣔࢪ࣮ࣗࣝ࡜ࡋࡓ㸬ࡇࢀ ࡟ࡣ㸪௚ࡢ᫂⁛ࣔࢪ࣮ࣗࣝ࿘ᮇ࡜఩┦ࡢ᳨ฟࢆ⾜ ࠸㸪࿘ᮇࡢᕪ࡜఩┦ᕪࢆ 0 ࡟㏆࡙ࡅࡿࡼ࠺࡞ࣇ࢕ ࣮ࢻࣂࢵࢡไᚚࢆᦚ㍕ࡋࡓ㸬 4㸬㸬࣍ࢱࣝࣔࢪ࣮ࣗࣝࡢᘬࡁ㎸ࡳ

๓❶࡛♧ࡋࡓ࣍ࢱࣝࣔࢪ࣮ࣗࣝࡀ㸪van der Pol ᪉⛬ᘧ࡟ࡼࡗ࡚ᮏ᮶ࡢᘬࡁ㎸ࡳࢆ㉳ࡇࡍࡇ࡜ࢆ ☜ㄆࡋࡓ㸬2 ࡘࡢྠᮇࣔࢪ࣮ࣗࣝࡢࡑࢀࡒࢀ࡟㸪 ᘧ(1)㸪(2)ࢆ⤌ࡳ㎸ࢇࡔ㸬஧ࡘࡢࣔࢪ࣮ࣗࣝࡢཷ ග⣲Ꮚࢆᑐྥࡉࡏ㸪ࡑࢀࡒࢀࡢ᫂⁛ගࡢගᙉᗘࢆ ィ ࡋࡓ㸬࠶ࡽ࠿ࡌࡵࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡗ࡚ ☜ᐇ࡟ᘬࡁ㎸ࡴ࡜᝿ᐃࡉࢀࡓ0㸪࡜ k ࢆ⏝࠸࡚㸪 ࣛࣥࢲ࣒࡞ึᮇ್࡛┦஫స⏝ࢆ㛤ጞࡋࡓ㸬ࡑࡢ඾ ᆺⓗ࡞⤖ᯝࢆᅗ 5 ࡟♧ࡍ㸬ᐇ㦂㛤ጞ┤ᚋࡣ఩┦࡟ ࡎࢀࡀ࠶ࡾ࡞ࡀࡽࡶ㸪ḟ➨࡟ࡑࡢࡎࢀࡀ࡞ࡃ࡞ࡾ㸪 ྠᮇࡋ࡚࠸ࡃᵝᏊࢆ☜ㄆ࡛ࡁࡓ㸬

ᅗ 5. van der Pol ᪉⛬ᘧࢆ⤌ࡳ㎸ࢇࡔྠᮇࣔࢪ ࣮ࣗࣝࡢᘬࡁ㎸ࡳ

Fig. 5 Entrainment phenomena of synchronous module with van der Pol equation

5㸬ࣜࣛࢡࢮ࣮ࢩࣙࣥຠᯝࡢホ౯ ࣜࣛࢡࢮ࣮ࢩࣙࣥࢩࢫࢸ࣒ࠕ࣍ࢱࣝࠖࡢࣜࣛࢡ ࢮ࣮ࢩࣙࣥຠᯝ࡟ࡘ࠸࡚ホ౯ࡍࡿࡓࡵ࡟㸪⬻Ἴࡢ ࿘Ἴᩘᡂศ࠿ࡽȘἼࡢࣃ࣮࣡ࢆゎᯒࡋࡓ㸬 50 cmࡢ㛫㝸ࢆ࠶ࡅ࡚⬦Ἴࣔࢪ࣮ࣗࣝ࡜ᨃఝᘬ ࡁ㎸ࡳྠᮇࣔࢪ࣮ࣗࣝࢆ㓄⨨ࡋࡓ㸬⬦Ἴࣔࢪ࣮ࣗ ࣝࡣ⿕㦂⪅ഃ࡟㓄⨨ࡉࢀ㸪ྠᮇࣔࢪ࣮ࣗࣝࡣ⿕㦂 ⪅ࡢዟ࡟㓄⨨ࡉࢀࡓ㸬ᬯᐊෆ࡛㸪⿕㦂⪅࡟ྠᮇࣔ ࢪ࣮ࣗࣝࡢ᫂⁛ࢆぢࡘࡵࡿࡼ࠺࡟ᩍ♧ࡋ㸪࠿ࡘ⬦ Ἴࣔࢪ࣮ࣗࣝࡢ᫂⁛ࡶど㔝࡟ධࡿࡼ࠺࡟⎔ቃタ ᐃࢆ⾜ࡗࡓ㸬⿕㦂⪅ࡣ೺ᗣ࡞ 22㹼24 ṓࡢ⏨ዪ 5 ே࡜ࡋࡓ㸬⿕㦂⪅࡟ࡣᴦ࡞ጼໃ࡛࠿ࡘ㌟యࢆື࠿ ࡉࡎ࡟ LED ࡢ᫂⁛ࢆぢࡘࡵࡿࡼ࠺࡟ᩍ♧ࡋࡓ㸬 ୖグࡢࡼ࠺࡞᮲௳࡛㸪⬦Ἴࣔࢪ࣮ࣗࣝ࡜ྠᮇࣔ ࢪ࣮ࣗࣝࡢ᫂⁛่⃭ࡀどぬ่⃭࡜ࡋ࡚୚࠼ࡽࢀ㸪 㛤ጞࡢྜᅗ࡜ඹ࡟ 1 ศ㛫ࡢ⬻Ἴィ ࢆ⾜࠸㸪8 Hz 㹼13 Hz ࡢ࿘Ἴᩘᡂศ࠿ࡽȘἼࡢࣃ࣮࣡ࢆồࡵࡓ㸬 LED ࡢ᫂⁛่⃭ࡢヨ⾜㡰ᗎࡣ௨ୗࡢ㏻ࡾ࡛࠶ ࡿ㸬 1㸬 ྠᮇࣔࢪ࣮ࣗࣝࡢ᫂⁛࿘ᮇࡀ୍ᐃ(1sec) 2㸬 ྠᮇࣔࢪ࣮ࣗࣝࡢ᫂⁛ࡢ࿘ᮇ࡜఩┦ࡀ⬦Ἴ ࣔࢪ࣮ࣗࣝࡢ᫂⁛ࡢ࿘ᮇ࡜఩┦࡟ྠᮇ 1࡜ 2 ࡢヨ⾜ࢆ஺஫࡟ 4 ᅇ⧞ࡾ㏉ࡋࡓ㸬ࡇࡢ࡜ ࡁ㸪1 ヨ⾜ࡈ࡜࡟ 1 ศ㛫ࡢఇ᠁ࢆタࡅࡓ㸬 5.1 ィ ᪉ἲ ィ ࡢᴫ␎ᅗࢆᅗ 6 ࡟♧ࡍ㸬⬻Ἴࡢィ ࡣ㸪⬻ Ἴ ᐃ⏝㟁ゎ࣮࣌ࢫࢺ(᪥ᮏග㟁, Elefx)ࢆሬᕸࡋ ࡓ AgCl ⬻Ἴ⏝─㟁ᴟ(᪥ᮏග㟁, NE-155A)ࢆ⿕㦂

(4)

⪅ࡢ㢌㡬㒊࡜⪥ᮕ࡟㈞ࡾ௜ࡅ㸪ࡑࡢୖ࠿ࡽࢿࢵࢺ ࢆ࠿ࡪࡏ࡚ᅛᐃࡋ㸪ࡑࢀࡽࡢ㟁఩ᕪࢆィ ࡋࡓ㸬 ィ   ࡉ ࢀࡓ ⬻ Ἴࡣ ࢜ ࢩࣟ ࢫࢥ ࣮ ࣉ (᪥ ᮏ ග㟁 Memory Oscilloscope VC_11)࡛ቑᖜࡋ㸪A/D ኚ᥮ ჾ(AD Instruments, PowerLab/4SP)࡛ A/D ኚ᥮ࡉࢀ ࡚ࣃࢯࢥࣥ(IBM, X40)ࡢࣁ࣮ࢻࢹ࢕ࢫࢡ࡟グ㘓 ࡉࢀࡓ㸬ࡇࡢ࡜ࡁ㸪ቑᖜ⋡ࡣ 2 ୓ಸ㸪ࣁ࢖࢝ࢵࢺ ࣇ࢕ࣝࢱ࣮ࡢ㐽᩿࿘Ἴᩘࡣ 100 Hz㸪࣮ࣟ࢝ࢵࢺ ࣇ࢕ࣝࢱࡢ㐽᩿࿘Ἴᩘࡣ 0.5 Hz ࡜ࡋࡓ㸬ィ ࡣ PowerLab (PowerLab / 4SP, ADInstrument Systems ) ࢆ⏝࠸ࡓ㸬ධຊ⠊ᅖࡣs5 V㸪ࢧࣥࣉࣜࣥࢢ࿘Ἴ ᩘࡣ 1 kHz ࡛グ㘓ࡋࡓ㸬ࡲࡓ㸪ィ ࡣ㸪ࣀ࢖ࢬ㝖 ཤࡢࡓࡵ࡟㖡ࡢ⥙࡛そࢃࢀࡓࢩ࣮ࣝࢻ࣮࣒ࣝ (180cm™180cm™180cm)ෆ࡛⾜ࡗࡓ㸬

ᅗ 6. ᐇ㦂⎔ቃ

Fig. 6 Environment of experiment 5.2 ゎゎᯒ᪉ἲ ஧ࡘࡢ LED ࡢ᫂⁛ࡢ࿘ᮇ࡜఩┦ࡢ㛵ಀᛶ࡜㸪 ࡑࢀࡽ࡜ȘἼ࡜ࡢ㛵ಀᛶࢆㄪ࡭ࡿࡓࡵ࡟┦஫┦ 㛵㛵ᩘࢆồࡵࡓ㸬ᮏᐇ㦂࡛ࡣ㸪⬦Ἴࣔࢪ࣮ࣗࣝ࡜ ྠᮇࣔࢪ࣮ࣗࣝࡢ᫂⁛่⃭ࡢ┦஫┦㛵ࢆồࡵࡓ㸬 ࡲࡎ⬦Ἴࣔࢪ࣮ࣗࣝ࡜ྠᮇࣔࢪ࣮ࣗࣝࡢ᫂⁛่ ⃭࡟ᑐࡋ㸪4 ⛊㛫ࡢ᫬㛫❆ࢆタࡅ࡚┦஫┦㛵ࢆồ ࡵࡓ(ᅗ 7)㸬ࡑࡋ࡚┦஫┦㛵ࡢ್ࡀ᭱኱್ࢆྲྀࡿ ࡜ࡁࡢ㐜ࢀ᫬㛫ࢆȫ ࡜⨨ࡁ(ᅗ 8)㸪㐜ࢀ᫬㛫ࡢ᥎ ⛣ࢆࣉࣟࢵࢺࡋࡓࡶࡢࢆᅗ 9 ࡟♧ࡍ㸬 ᅗ 7. ஧ࡘࡢ LED ࡢ᫂⁛่⃭ࡢ┦஫┦㛵ࡢ ᴫ␎ᅗ

Fig. 7 Correlation of the two LED’s light

stimulation

ᅗ 8. ┦஫┦㛵ࡢ್ࡀ᭱኱್ࢆ࡜ࡿ࡜ࡁࡢ㐜 ࢀ᫬㛫

Fig. 8 Delay time at the maximum correlation

ᅗ 9. 㐜ࢀ᫬㛫ȫࡢ᥎⛣ Fig. 9 Shift of the delay time ȫ ᘬࡁ㎸ࡳࢆ㉳ࡇࡍ࡜ࡁࡢȫࡢኚ໬㔞࡛࠶ࡿ㸪㐜 ࢀ᫬㛫 dȫ࡜ȘἼࡢࣃ࣮࣡ࡢኚ໬ࢆࣉࣟࢵࢺࡋ ࡓ౛ࢆᅗ 10 ࡟♧ࡍ㸬

ᅗ 10. 㐜ࢀ᫬㛫 dȫ࡜ȘἼࡢ᫬㛫᥎⛣ Fig. 10 Time-series of delay time dτ and power

(5)

dȫ࡜ȘἼࡢࣃ࣮࣡ࡢ᫬㛫᥎⛣࡟࠾ࡅࡿ┦஫┦ 㛵࡟ࡘ࠸࡚඲⿕㦂⪅ࡢᖹᆒ್ࢆᅗ 11 ࡟♧ࡍ㸬ᶓ ㍈ࡣ㐜ࢀ᫬㛫ࢆᣦࡋ㸪⦪㍈ࡣ┦஫┦㛵ࡢ┦㛵ಀᩘ ࡢ್࡛࠶ࡿ㸬஧ࡘࡢ⥺ࢢࣛࣇࡢ࠺ࡕ㸪ᐇ⥺ࡀᘬࡁ ㎸ࡳࢆ㉳ࡇࡍ࡜ࡁࢆ♧ࡋ㸪Ⅼ⥺ࡀᘬࡁ㎸ࡳࢆ㉳ࡇ ࡉ࡞࠸࡜ࡁࡢヨ⾜࡛࠶ࡿ㸬㐜ࢀ᫬㛫ࡀ 0 ࡢ࡜ࡁ㸪 ᘬࡁ㎸ࡳࡀ࠾ࡇࡽ࡞࠸࡜ࡁ࡜ẚ㍑ࡋ࡚ᘬࡁ㎸ࡳ ࡀ㉳ࡇࡿ࡜ࡁ࡟ dȫ࡜ȘἼ࡜ࡢ┦஫┦㛵್ࡀࡸ ࡸ㧗࠸ഴྥ࡜࡞ࡗࡓ㸬 ᅗ 11. ȘἼࡢࣃ࣮࣡࡜㐜ࢀ᫬㛫ࡢᕪࡢ┦஫┦㛵 Fig. 11 Average of cross correlation between dτ

and power of alpha waves 6㸬㸬⪃ᐹ ᅗ 11 ࡟♧ࡍ⤖ᯝ࠿ࡽ㸪ᘬࡁ㎸ࡳࢆ㉳ࡇࡉ࡞࠸ ࢩࢫࢸ࣒ࡼࡾࡶᘬࡁ㎸ࡳࢆ㉳ࡇࡍࢩࢫࢸ࣒࡛┦ 㛵ࡀ㧗࠸ࡇ࡜ࡀ♧ࡉࢀࡓ㸬ࡇࡢࡇ࡜࠿ࡽ㸪ᘬࡁ㎸ ࡳࢆ㉳ࡇࡍࢩࢫࢸ࣒࡜ᘬࡁ㎸ࡳࢆ㉳ࡇࡉ࡞࠸ࢩ ࢫࢸ࣒࡜࡛ȘἼࡢฟ⌧ࡢ௙᪉࡟㐪࠸ࡀ࠶ࡿࡇ࡜ ࡀศ࠿ࡾ㸪ࡉࡽ࡟ LED ࡢ᫂⁛ࡀᘬࡁ㎸ࡳࢆ㉳ࡇ ࡍ࡜ࡁ࡜ȘἼࡢฟ⌧࡟㛵ಀᛶࡀ࠶ࡿࡇ࡜ࡀศ࠿ ࡗࡓ㸬 1ศ㛫ࡢヨ⾜ࡢ㛫ࡢȘἼࡢฟ⌧㢖ᗘ࡟ࡘ࠸࡚ࡣ㸪 ᘬࡁ㎸ࡳࡢ᭷ࡾ࣭↓ࡋ࡟ࡼࡗ࡚㢧ⴭ࡞ᕪࡀぢࡽࢀ ࡿࡇ࡜ࡣ↓࠿ࡗࡓ㸬ࡑࢀࡣ㸪ࡑࡶࡑࡶࡇࡢࡼ࠺࡞ ⎔ቃࡀȘἼࢆᘬࡁฟࡋࡸࡍ࠸ࡓࡵ㸪ȘἼࡀ㢖ฟࡋ ࡚࠸ࡿࡓࡵ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬ࡲࡓ㸪ᘬࡁ㎸ࡳ ࡢไᚚᶵᵓࡀ࡞ࡃ࡜ࡶ㸪അⓎⓗ࡟᫂⁛ࡢྠᮇࡣ㉳ ࡁ࡚࠸ࡿࡓࡵ㸪ࡑࡢᕪࡀ⾲ࢀ࡚࠸ࡿ࡜ࡋ࡚ࡶ㸪༢ ⣧࡟ȘἼࡢฟ⌧㢖ᗘ࡛ࡣẚ㍑᳨ウࡍࡿࡇ࡜ࡣ㞴 ࡋ࠸㸬ࡋ࠿ࡋ࡞ࡀࡽୖ㏙ࡢࡼ࠺࡟ᘬࡁ㎸ࡳࡢ࠶ ࡾ࣭࡞ࡋ࡟ࡼࡗ࡚ྠᮇ໬㐣⛬࡜ȘἼࡢฟ⌧࡜࡟ᕪ ࡀ࠶ࡾ㸪ᘬࡁ㎸ࡳ࡟ࡼࡗ࡚ࡑࡢ┦㛵ࡀ㧗࠸࡜࠸࠺ ࡇ࡜࠿ࡽ㸪ᘬࡁ㎸ࡳࢆ฼⏝ࡋࡓࢩࢫࢸ࣒࡛ࡣ㸪അ Ⓨⓗ࡞ྠᮇ࡜ࡣ␗࡞ࡿ࣓࢝ࢽࢬ࣒࡛᭷ຠ࡟ȘἼ ࢆㄏᘬࡋ࡚࠸ࡿ࡜⪃࠼ࡽࢀࡿ㸬 ᡃࠎࡢඛ⾜◊✲࡛ࡣ㸪ࣟ࣎ࢵࢺࡢ㐠ື࡟ࡑࢀࢆ ほ࡚࠸ࡿேࡢ⏕యಙྕࢆࣇ࢕࣮ࢻࣂࢵࢡࡋ࡚ࣂ ࢖࢜ࣇ࢕࣮ࢻࣂࢵࢡࢩࢫࢸ࣒ࢆᵓᡂࡍࡿ࡜㸪ࡑࡢ ࣟ࣎ࢵࢺࢆ↓ព㆑ࡢ࠺ࡕ࡟⏕≀ࡽࡋࡃឤࡌ࡚࠸ ࡿࡇ࡜ࡀ᫂ࡽ࠿࡟࡞ࡗ࡚࠸ࡿ[4]㸬ᮏ◊✲࡟࠾࠸ ࡚ࡶ㸪ᘬࡁ㎸ࡳไᚚ࡟ࡼࡿࣂ࢖࢜ࣇ࢕࣮ࢻࣂࢵࢡ ࢆᵓᡂࡍࡿࡇ࡜࡟ࡼࡗ࡚㸪ព㆑࡟ୖࡽ࡞࠸཯ᛂࡀ ㉳ࡁ࡚࠸ࡿࡇ࡜ࡀ᫂ࡽ࠿࡟࡞ࡗࡓ㸬ࣂ࢖࢜ࣇ࢕࣮ ࢻࣂࢵࢡࡢ⣔࡟࠾࠸࡚⏕యࡣ㸪⮬ศ࡟ಀࢃࡾ࡞ࡃ ࿘ᮇⓗ࡟ኚ໬ࡍࡿ⣔࡜⮬ศ࡟ಀࢃࡗ࡚ኚ໬ࡍࡿ ⣔ࢆ↓ព㆑ࡢ࠺ࡕ࡟ุูࡋ࡚▱ぬࡋ࡚࠸ࡿྍ⬟ ᛶࡀ࠶ࡿ㸬 ࡼࡗ࡚㸪ᘬࡁ㎸ࡳ⌧㇟ࡣࣜࣛࢡࢮ࣮ࢩࣙࣥࢩࢫ ࢸ࣒࡜ࡋ࡚᭷ຠ࡛࠶ࡿࡇ࡜ࡀ♧၀ࡉࢀࡓ㸬 ௒ᚋࡣ㸪ᮏ᮶ࡢᘬࡁ㎸ࡳࢆ౑⏝ࡋ㸪ࡼࡾ⮬↛࡞ ᘬࡁ㎸ࡳࡀ㉳ࡇࡾࡸࡍ࠸ࣔࢪ࣮ࣗࣝࢆ⏝࠸࡚ᐇ 㦂ࢆ⾜ࡗ࡚࠸ࡃᚲ⏝ࡀ࠶ࡿ㸬ࡑࡢࣔࢪ࣮ࣗࣝࢆ౑ ⏝ࡋ㸪ࣔࢪ࣮ࣗࣝࡢᩘࢆቑࡸࡍࡇ࡜࡛࣮ࣘࢨ࣮࡬ ࡢࣜࣛࢵࢡࢫຠᯝ࡟ࡘ࠸᳨࡚ドࡋ㸪ࡼࡾ᭷ຠ࡞ࢹ ࣮ࢱࢆᚓࡿࡇ࡜ࡀㄢ㢟࡛࠶ࡿ㸬 ཧ⪃ᩥ⊩ [1] ࢫࢸ࢕࣮ࣦ࣭ࣥࢫࢺࣟ࢞ࢵࢶ㸸͆SYNC ࡞ࡐ⮬↛ ࡣࢩࣥࢡࣟࡋࡓࡀࡿࡢ࠿͇㸪᪩ᕝ᭩ᡣ (2003) [2] 㔝ἑဴஓ㸪ᰩ⏣⿱㸪௚㸸͆࣍ࢱࣝࡢ㞟ᅋྠᮇⓎග ࢆᶍᨃࡋࡓ┦஫ᘬࡁ㎸ࡳࡢᐇ⌧͇㸪᪥ᮏᶵᲔᏛ఍㸪 Dynamics and Design Conference 2001 CD_ROMㄽ ᩥ㞟㸪No01_5 (2001)

[3] ᮌᮧᏹே㸪Ụཱྀṇ㐨㸸͆ࣃࣝࢫ᣺ືᏊࢆෆⶶࡋྠ ᮇⓎගࡍࡿ࣐࢖ࢥࣥ࣍ࢱࣝࡢ〇స͇㸪ᒣᙧ┴❧⏘ ᴗᢏ⾡▷ᮇ኱Ꮫᰯ⣖せ㸪no.8㸪p.34-37(2002) [4] Shigeru Sakurazawa, Keisuke Yanagihara, Yasuo

Tsukahara, Hitoshi Matsubara: Live Feeling on Movement of an Autonomous Robot Using a Biological Signal: Proc. of ICEC2005, LNCS 3711, p.p. 239-247, 2005

Fig. 3 The synchronous module attached  on a wall  ⬦Ἴࣔࢪ࣮ࣗࣝࡣ㸪⪥ᮕ࡟⿦╔ࡋࡓ࢖࣮ࣖࢧࣥࢧ㸦Senoh㸧࡟ࡼࡾࣔࢽࢱ࣮ࡉࢀࡿ⬦Ἴ࡟ྜࢃࡏ࡚LEDࡀ᫂⁛ࡍࡿࡼ࠺ᵓᡂࡉࢀࡓ㸬࢖࣮ࣖࢭࣥࢧ࣮ෆ࡟ࡣ㉥እࡢⓎගࢲ࢖࣮࢜ࢻ࡜ࣇ࢛ࢺࢲ࢖࣮࢜ࢻࡀᑐྥࡍࡿᙧ࡛ෆⶶࡉࢀ㸪⪥ᮕࡢ⾑୰࣊ࣔࢢࣟࣅࣥ㔞࡟౫Ꮡࡋ࡚ኚ໬ࡍࡿ㉥እ⥺ࡢ㏱㐣ග ᙉᗘ࡟ࡼࡾ㠀౵く࡛⾑ᾮࡢ⬦ືࢆ᳨ฟࡋ࡚࠸ࡿ㸬⬦Ἴࣔࢪ࣮ࣗࣝࡢLEDࡢ᫂⁛ගࡣ㸪⬦Ἴࡢࣆ࣮ࢡ᳨ฟ๓ࡣ᳨ฟࡉࢀࡓ⬦Ἴ࡟ྜࢃࡏ࡚᫂ࡿࡃ࡞ࡾ㸪ࣆ࣮ࢡᚋࡣᣦ
Fig. 5 Entrainment phenomena of synchronous  module with van der Pol equation
Fig. 9 Shift of the delay time  ȫ

参照

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