大自由度非線形システムの動的縮約による解釈可能なデータ記述

项目来源

日本学术振兴会基金(JSPS)

项目主持人

中尾 裕也

项目受资助机构

東京科学大学

立项年度

2025

立项时间

未公开

项目编号

25H01468

研究期限

未知 / 未知

项目级别

国家级

受资助金额

4550000.00日元

学科

学術変革領域研究(Ⅱ)

学科代码

未公开

基金类别

学術変革領域研究(A)

关键词

動的縮約;非線形システム;データ記述;

参与者

未公开

参与机构

東京科学大学,工学院;

项目标书摘要:Outline of · · · Start:実世界を記述する普遍的なモデルである大自由度非線形力学システムに対して、作用素論、統計数理、機械学習、時系列解析などを駆使して、そこからシステムの大局的な挙動を記述する低次元の鍵となる構造を抽出し、その低次元モデルを求める動的縮約の方法を発展させることにより、大規模データの背後にある本質的な力学構造を、解釈可能な形で得ようとすることを目的とする。

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  • 1.Dy···ic···de···co···si···n ··· d···ct··· o···ll···ry···an···nt···ti···y ··· s···si···an···mo···ne···re···ar···ti··

    • 关键词:
    • LATTICE BOLTZMANN METHOD; FLUID-FLOWS; PATTERNS; SYSTEMS
    • Ta···a,···ta···Na···, ···oy·
    • 《CH···》
    • 2026年
    • 36卷
    • 7期
    • 期刊

    Dy···ic···de···co···si···n ···D)··· a···ta···iv···mo··· d···mp···ti···te···iq···th···ex···ct···oh···nt···at···em···al···ru···re···ro···ig···im···io··· t···-s···es···ta···y ···om···in···he···na···s ···o ···et··· m···s,···ch···so···te···it··· s···le···eq···cy···d ···ro··· r···, ··· e···le··· n···ra···od···de···po···io···nd···me···on···ty···du···on··· c···le···yn···ca···ys···s.···we···, ···n ··· i···pp···d ···tr···ie···dy···ic···ev···if···la··· n···er··· m···s ··· u···, ···re···ns···ff···lt··· i···rp··· h···th··· m···s ···tr···te··· t···tr···ie···be···io···In···is···ud···we···op··· a···mp···ex···si···of···D ···t ···il···te···xt···ti···of···ci···to···tr···ie···ac···it···y ···ro···in···im···ar···g ···li···es···r ··· D···mo··· b···d ···sp···it···nd···oo···es···eg···ri···io···Th···ap···ac···na···s ··· i···ti···at··· o···yn···ca··· s···if···nt···de···nd···tr···io···f ···ir···an···nt···ti···ie···pr···di···a ···e ···er···ta··· r···es···at··· o···on···ea···dy···ic···We···lu···at···he···li···y ···th···ro···ed···th···us··· a···mp···ex···le···d ···n ···ly··· t···lu···fl···da···of···la···ar···rf··· w··· e···bi···g ···ns···t ···av···. ···de···st···e ···t ···ca···ap···e ··· t···or···st···tu···of···de···ti···io···th···ar···ot···ce···bl···it···he···an···d ··· m···od·

    ...
  • 2.Em···en···of···gh···or··· i···ra···on···n ···te···of···up··· K···mo···os···la···s ···h ···e ···ay

    • 关键词:
    • Timing circuits;High-order;Higher-order;Kuramoto models;Kuramoto oscillators;Numerical stability analysis;Pairwise couplings;Second orders;Three-body interaction;Time delayed;Time-delays
    • Fu···, ···um···ag···Ke···ke···ol···Ri···rd···in···Bo···ak··· H···ya
    • 《Ph···ca···ev··· E》
    • 2026年
    • 114卷
    • 1期
    • 期刊

    We···ow···at···gh···or··· i···ra···on···at···ll···me··· f··· t···-d···ye···ai···se···up···g ···Ku···ot···sc···at···. ···ex···di···th···el···d ···rw··· c···li···to···e ···on···rd··· w···er··· a···la···re···ur···to···de···os···si···bo···pa···is···nd···re···od···nt···ct···s.···me···al···mu···io···an···ta···it···na···is···mo···ra···th···th···hr···bo···Ku···ot···od···an···he···me···la··· p···wi···Ku···ot···od···ex···it···al···ti···y ···si···nt···nc···ni···io···ra···ti··· u···r ···ro···at···on···io··· I···ar···ul··· t···bi···bi···y ···si···in···e ···e-···ay···Ku···ot···od···is···co···ed···r ···th···hr···bo···in···ac···ns···ur···nd···s ···ea···ha···im···el··· c···be···ca···ef···ti···y ···hi···r-···er···te···ti···, ···vi···g ···in···ht···to···w ···pl··· d···ys···ap···ol···ti···dy···ic···© ···6 ···ri··· P···ic···So···ty·

    ...
  • 3.Ch···ra···at···on···di···te···yp···ra···

    • 关键词:
    • ;Directed hypergraphs;Dynamical state;High-order;Higher-order;Many-body interactions;Nonreciprocal;Pairwise couplings;Real-world system;Symmetric network;Synchronization patterns
    • Tc···da···eu···, ···me···ar···ti···im···o;···ao···ir···;M···o,···cc···o
    • 《Ph···ca···ev··· E》
    • 2026年
    • 113卷
    • 5期
    • 期刊

    Ch···ra···at···ar···yn···on···ti···pa···rn···n ···ch···he···t ··· i···he···t ···io···co···st··· s···em···f ···nt···l ···il···or···Th···el···ve···en···no···as···tr···ed···gn···ca···in···es···nd···s ···n ···el···na···ed···ev···in···ev···l ···es··· d···mi··· s···es···os···tu···s ···ol···re···ro··· p···wi···co···in··· w···e ···h ···il···or···er···an···ec···es···e ···e ···er···io···ro···ei···or··· o···, ···s ···ng···de··· v···sy···tr···ne···rk···Ho···er···ea···or···sy···ms···te···xh···t ···re···ro···, ···pa···is···ma···bo··· i···ra···on···Pr···ou···tu···s ···e ···wn···at···im··· s···es···e ···e ···si···in···e ···se··· o···on···ip···al···ir···e ···er···io··· w···e ···y ··· e···er··· o···rv···he···he···te···ti··· a···re···ro··· a···hi···r-···er···an···od··· I···hi···or···we···ve···ga···th···me···nc···f ···me···st···s ···no···ci···ca···ig···-o···r ···uc···es···al··· m···re···d ···er···ph···wh··· w···om···e ···h ···ir···rr···on···g ···wo···, ··· w···bs···e ···t ···e ···es··· c···er···ta··· c···em···e ··· t···ir···io···it···wh··· h···no···ee···re···us···ob···ve···n ··· a···nc···We···so···mp··· t···ef···t ···no···ci···ca···nt···ct···s ···we···hi···r-···er···d ···rw··· c···li···, ··· w···in···um···ca··· t··· c···er···ta··· a···ar···er···br···er···ra···er···ng···he···on···er··· h···er···de···nt···ct···s ···n ···th···or···po···ng···tw··· c···, ···on···at··· t···im···t ···di···ti···li···an···he···fe···of···gh···or··· i···ra···on···Fi···ly···he···tu···of···as···hi···as···s ···n ···th···va···at···th···gh···as···ed···io···he···. ···26···er···n ···si··· S···et··

    ...
  • 4.Fl···er···pp···si···En···ce···t ···Co···ed···nl···ar···rf···s ···h ···er···te···Mi··· I···ra···on·

    • 关键词:
    • Aeroelasticity;Aviation;Fighter aircraft;Structural dynamics;Structural optimization;Time delay;Wings;Amplitude death;Coupling strengths;Flight safety;Flutter suppression;Linear combinations;Nonlinear airfoil;Novel strategies;Structural nonlinearities;Structural reliability;Time-delayed couplings
    • Li···Qi···ol···Ri···rd···ak··· H···ya···, ···g
    • 《AI···Jo···al》
    • 2026年
    • 64卷
    • 3期
    • 期刊

    Fl···er···pp···si···fa···it···s ··· i···ov···nt··· s···ct···l ···ia···it···o ···ur···he···ig···sa···y ···an···rc···t.··· t··· s···y,··· p···os··· n···l ···at··· f···en···gi···th···mp···ud···ea···(A···re···e ···en···ce···ut··· s···re···on··· t···co···ed···en···al···rf···s ···h ···uc···al···nl···ar···. ···ci···al··· w···nt···uc···n ···er···te···mi··· c···li···st···eg···i.··· a···ne···co···na···n ···in···mi···nt···st···an···s ···pl··· a···in···mi···nt···me···la··· c···li···be···en···o ···fo···. ···er···l ···ul···on···re···rf···ed··· r···al···e ···lu···e ···ha···ms··· d···er··· c···li···sc···ri···on···e ···am···be···io···of···e ···pl···ai···il···st···. ··· o···in···re···ts···di···e ···t ··· c···le···ir···l ···te···ex···ie··· t···ex···te···D ···av···s ···hi··· c···ai···an···of···e ···pl··· s···ng···an···im···el···d ···am···rs···he···nt···ou···ix···co···in···av··· t···on··· o···D ···r ···ar··· p···me··· s···of···up···g ···en··· t··· t···co···nu··· p···ly···me···la··· c···li··· M···ov··· t···pr···nc···f ···er···te···in···ac···ns···n ···d ···a ···th···en···ge···t ···th···D ···io··· i···, ···tt···su···es···n ···an···en···Ou···in···gs···pp··· t···st···tu··· d···gn···d ···im···ti···of··· a···ra···wi···fo···it···ti···th···nw···ed···ro···st···in···bi···y ···av···s.···20···by··· L··· R···ar···Mu···, ···oy···ak···an···on···u.··· A···na···cs···d ···ro···ti··· I···

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  • 5.Ti···de··· e···dd···s ···ch···ct···ze···e ···br···f ···ic···in···um···s ···ng···po···ic···Da···An···si···a ···dy··· s···he··· a···re···da··

    • 关键词:
    • NEURAL-NETWORKS
    • Sa··· G···se···ak··· H···ya···ol···Ri···rd·
    • 《EU···EA···HY···AL···UR···-S···IA···OP···》
    • 2026年
    • 期刊

    Ti···e ···ow···s ···di···ng···h ···we···so···s ···n ···n ···y ···re···e ···e ···ch···d ···dn···, ···yi···an···po···nt···le··· m···c,···st···en···ec···it···, ··· s···ch···ra···io··· a···oa···s,···ch··· f···ue··· a···ys···or···ch··· l···ni··· o···n ···rl··· s···le···ar···er···ic···f ···nd···op···gi··· D··· A···ys···(T··· c···ca···re···mp··· p···er··· b···it···pp···at··· t···im··· h···be···li···ed···ar··· b···us···t ···un···ar···w ···re···se···so··· e···ct···ly···r ···. ···th···st···, ···in···ti···e ··· d···er··· t··· d···y ···ed···gs···fe···TD···es···s.···in···ot···yn···ti···nd···al···di···ig···s,··· i···ti···ti···de···s ···t ···an···th···et···io···f ···mo··· s···ct···s.···r ···di··· s··· t··· s···if···de···s,···la··· t···ra···on···f ··· f···am···al···ri··· a···w ··· t···ev··· k···ha···ni···ea···es···d ···ti···is···et···n ···eg···an···on···te··· h···on···. ··· m···od··· e···ct··· f···sy···et···an···ea···us···l ···tr···nt···un···an···pe···th···ay···r ···ur···or··· w···h ···ld···te···it··· m··· c···le···ou··· u···g ···he···im···io··· e···dd···s ··· a···ti···l ···si···nc···ta···ti···

    ...
  • 6.Di···ng···hi···pa···is···nd···gh···or··· i···ra···on···n ···pl···os···la···s ···m ···e ···ie·

    • 关键词:
    • PHASE; SYNCHRONIZATION; NETWORK
    • Su···ei···;H···, ···ge···i;···i,···ro···;N···o,···ro···Ko···as··· R···a
    • 《CO···NI···IO···PH···CS》
    • 2025年
    • 9卷
    • 1期
    • 期刊

    Rh···mi···he···en···wh··· a···ub···it··· i···io···ic···sy···ms···re···pi···ly···de··· a···ys···s ···co···ed···mi···yc···os···la···s.···ti···in··· m···em···ca···od···fr···ex···im···al···ta··· a···ss···ia···te···n ···er···nd··· t···dy···ic···f ···l-···ld···mp··· s···em···In···up··· o···ll···r ···te··· i···ti···ng···e ···e ···in···ac···n ···g.···ai···se··· t···e-···y)··· c···le···ng···ca··· d···er··· i···ra···on···an···hi··· s···la···yn···ca···ta··· i···xp···me···l ···di···ns···n ···s ···dy···e ···e ···el···d ···et··· b···d ···th···da···ve···SS···Le··· A···lu···Sh···ka···an···el···io···pe···or···o ···er···e ···er···io···am··· o···ll···rs···om···me···ri···da··· T···pr···se···et··· s···es···ll···de···fi···th···yp···f ···er···io···nd···fe···nd···du···pa···is···nd···re···od···ou···ng···Th···gh···st···ti···na···is··· s···he··· d···se··· w···av···em···tr···d ···t ··· m···od···tp···or···tw···as···ne···th···, ···SO···d ··· (···in··· L···t ···ar···, ···ac···at··· i···rr··· t···to···og···nd···re···h ···co···in···be···en···ci···to··· F···he···re···he···op···d ···ho···s ···li···to···ma···ra···ne···rk···ta···em···tr···ng···s ···ct···l ···li··· F···ll···we···te···th···et··· t···or···en···l ···il···or···ys···s,···cl···ng···os···xh···ti···th···ef···at··· o···im···cy···s ··· t···e ···h ···r-···y ···er···io··· T···e ···ul···su···st···at···r ···ho···s ···ro···in···oo···or···en···yi···in···ac···n ···ha···ms··· o···ll···ry···st···.

    ...
  • 7.Ph··· a···en···er···r ···id···ta···iv···sy···ro···at··· o···hy···ic···at···em···al···tt···s

    • 关键词:
    • Couplings;Diffusion in liquids;Diffusion in solids;Dynamics;Learning systems;Machine learning;Auto encoders;Data driven;Field variables;High-dimensional;Higher-dimensional;Limit-cycle;Low dimensional;Phase description;Reaction diffusion systems;Spatiotemporal patterns
    • Ya···a,···ic···o;···um···Ry···uk···, ···;T···a,···ni···o;···ao···ir···
    • 《Ph···ca···ev··· E》
    • 2025年
    • 112卷
    • 6期
    • 期刊

    We···es··· a···ch···-l···ni···me···d ··· d···-d···en···nc···ni···io···f ···th··· s···io···po··· p···er···in···ac···n-···fu···n ···te··· E···nd··· t···ph··· a···en···er···aw··· e···l.···ha···4,···31···(2···) ···4-···0 ···10···5.···57··· f···lo···im···io··· o···ll···rs···e ···el···a ···me···k ···ma···ig···im···io··· f···d ···ia···s ···th···ea···on···ff···on···st···to···w-···en···na···at··· v···ab··· c···ac···iz··· t···as···to··· p···e ··· a···it···s ···th···ie···va···bl··· T··· y···ds···re···ed···as···es···pt··· o···he···mi···yc···un···ly··· t···rh···mi···pa···te···ra···yn···cs··· a···ta···iv···ma···r.··· p···os··· m···od··· d···e ··· s···em···on···he···ng···ia···ir···io···f ··· l···t ···le···na···ng···as···on···l ···ho···in···in···mp···ud···ev···io··· W··· e···pl···of··· o···ll···ng···ot···nd··· s···al···ve···n ··· F···Hu···Na···o ···ct···-d···us··· s···em···e ···w ···t ··· m···od···hi···s ···id···nc···ni···io···n ···h ···er···e-···ed···d ···pl···-b···d ···ti···. ···se···su··· d···ns···te···e ···en···l ···da···dr···n ···se···sc···ti···ba··· o···he···as···ut···co··· f···sy···ro···at··· o···ig···im···io··· s···io···po··· d···mi··· ©···25···er···n ···si··· S···et··

    ...
  • 8.Th···y ···ph··· r···ct··· f··· h···rg···hs··· s···li···l ···pl···s:···ge···al···ut···o ···he···rd···Ku···ot···od···

    • 关键词:
    • Couplings;Oscillators (electronic);Oscillators (mechanical);Topology;Coupled oscillators;High-order;High-order interaction;Higher-order;Hyper graph;Kuramoto models;Paradigmatic models;Phase model;Phase reduction;Simplicial complex
    • Le··· I···;M···o,···cc···o;···a,···ig···mi···ka···Hi···a
    • 《Ph···ca··· N···in··· P···om···》
    • 2025年
    • 482卷
    • 期刊

    Ku···ot···yp···od··· a···pa···ig···ic···de···in···e ···dy··· c···le···sc···at···, ···ce···ey···ov··· a···mp···ex···na···n ···th···ol···ti···sy···ro···at··· t···si···n.···ei···ni···sa···y ···es···om···e ···>f··· ...

  • 9.Qu···um···in···n ··· P···os···la···: ···n-···ed···mi···yc···os···la··· e···bi···g ···nt···sy···ro···at···

    • 关键词:
    • Circuit oscillations;Magnetic moments;Oscillators (mechanical);Quantum entanglement;Quantum optics;Arnold tongue;Coupled oscillators;Frequency entrainment;High spins;Large spin;Limit-cycle oscillators;Mutual synchronization;Optical-;Quantum spin;Van der Pol's oscillators
    • Ka··· Y···ru···ka···Hi···a
    • 《Ph···ca···ev··· R···ar··》
    • 2025年
    • 7卷
    • 4期
    • 期刊

    We···tr···ce···qu···um···in···n ··· P···(v··· o···ll···r ···a ···to···ic···mo··· o···ua···m ···n-···ed···mi···yc···os···la···s,···ic···oi···de···it···he···an··· o···ca···dP···ci···to···n ··· h···-s··· l···t.···e ···te···s ···cr···d ···a ···sy···mi···yc···os···la··· i···he···mi···ss···l ···im···t ···ge···in···mb···, ···ib···ng···eq···cy···tr···me···to···pe···di···ri··· E··· i···he···al···t ···n-···as···mu···l ···ch···iz···on···rn··· t···ue···an···nt···le···t ···gu···in···o ···si···iv··· c···le···sc···at···, ··· c···ec···e ···ch···iz···on··· a···to···l ···pl···os···la···s ··· c···rl···bs···ed···he···op···d ···nt···sp···vd···sc···at···wi···pr···de···us···l ···tf··· f···an···zi···qu···um···in···nc···ni···io···© ···5 ···ho··· P···is··· b···he···er···n ···si··· S···et··

    ...
  • 10.Da···dr···n ···se···nt··· f···li···-c···e ···il···or···nd···pa···al···se···ti··

    • 关键词:
    • Oscillators (electronic);Real time systems;Data driven;Limit-cycle oscillators;Oscillator dynamics;Partial observation;Phase reduction;Phase variables;Phase-Control;Real-world problem;Reduction theory;Single phasis
    • Ya···a,···ic···o;···ur···No···is···at···Yu···u;···ao···ir···
    • 《64···IE···Co···re··· o···ec···on···d ···tr··· C···20··》
    • 2025年
    • December 9, 2025 - December 12, 2025
    • Ri···e ···ei··· B···il
    • 会议

    Co···ol···g ···th··· s···em···ty···al···mo···ed··· l···t-···le···ci···to··· i···n ···or···t ···je···in···al···rl···ro···ms···ha···re···ti···th···y,···ic···im···fi···th···ul···im···io··· o···ll···r ···te···de···ea···np···to···si···e ···se···ri···e,··· u···ul···r ···ly···g ··· o···ll···r ···am···. ···th···on···l ···li···-c···e ···il···or···it···nk···n ···am···, ··· o···ll···r ···se···ou···be···ti···ed···om···me···ri···un··· p···ia···bs···at··· i···ea···im···In···is···ud···we···es··· a···ut···co···-b···d ···ho···or···ti···in···he···ci···to···ha···us··· d···y ···ed···g ···ob···ve···ta···va···bl··· W···va···te···e ···er··· t···ph··· e···ma···n ···or···de···ea···np··· a···ap··· t···me···d ···ph···-r···ct···-b···d ···db··· c···ro···f ···ua···yn···on···ti···of···o ···il···or···nd···pa···al···se···ti··· T···ef···ti···es···f ··· m···od··· i···st···ed··· n···ri··· e···pl···us··· t···ty··· o···im···cy··· o···ll···rs···he···ua···La···u ··· H···ki···ux··· m···ls··· 2··· I···.

    ...
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