1992 Fiscal Year Annual Research Report

時空カオス

Research Project

Project/Area Number	04044020
Research Institution	Tohoku University
Principal Investigator	沢田康次東北大学, 電気通信研究所, 教授 (80028133)
Co-Investigator(Kenkyū-buntansha)	HUGHES Chate サクレイ国立研究所, CNRS研究員 DAVID Bensim エコールノルマル, スペリウール, CNRS研究員 PATRICK Tabe エコールノルマル, スペリウール, CNRS研究員 VINCENT Croq エコールノルマル, スペリウール, CNRS研究員 YVES Couder エコールノルマル, スペリウール, CNRS研究員 PIERRE Coull ニース大学, 教授 BERNARD Perr エコールノルマル, スペリウール, CNRS研究員早川美徳東北大学, 電気通信研究所, 助手 (20218556) 那須野悟九州工業大学, 工学部, 講師 (90228073) 佐藤信一静岡大学, 教養部, 助教授 (30196240) 金子邦彦東京大学, 教養学部, 助教授 (30177513) 佐野雅巳東北大学, 電気通信研究所, 助教授 (40150263) 蔵本由紀京都大学, 理学部, 教授 (40037247)
Keywords	時空カオス / 位相不安定 / 結合写像系 / 局在構造 / 時空間インターミッテンシー / TDGL方程式 / パターン形成 / 液晶対流系
Research Abstract	沢田と佐野は、日仏の理論家(Coullet、佐々、坂口等)と協力して液晶対流中に現れる振動場が形成する局在したターゲットパターンとペースメーカーの生成メカニズムを実験的にも理験的にも明らかにした。また、Coulletの予言した動的ブロッホ壁が実験で観測されることを見い移し、その時空パターンの研究を開始した。蔵本のグループは解折を開始した。金子は、結合写像系を用いた時空カオスの研究で位相スリッブに基因する伝搬波状態を見い出した。これは、仏国訪問時に討議され、Croquette等により実験的確認された。早川は、ヴィスカスフィンガーにおけるパターン選択と振動解の条件を数値的に解折し、仏側の理論クループを訪問して議論を行った。那須野は、Chateの時空間インターミッテンシーの理論を実験的に検証すべく液晶系で実験を行い、Chateと討論を深めた。蔵本は、位相情報を持った神経回路における引き込みの理論を開発し、その情報処理に果す役割に関する研究に着手した。また振動子集団が引き込んで集団カオスと呼ばれる新状態を生じることを発見した。佐野は、亀裂の進行と振動の条件を実験的に明らかにし、理論家グループと解折を開始した。沢田等は、生体のパターン形成桟構解明のため細胞選別の新しいモデルを提案し、実験を行った。仏側では、Croquettが野崎ホール解を実験で初めて確認した。Chateや蔵本のグループは、TDGL方程式の相図を理論的に解明しつつあり、一次元の時空カオスの全貌の見通しを開いた。Couderは、植物の葉序に現れるパターンとフィボナッチ数列の関係を明らかにするモデルと実験の開発に成功した。Tabelingは、2液界面に生じる渦列の実験で位相ソリトンを見い出した。Bensimonは、脂質二重膜の形態と転移現象を調べ、トロイダル構造を発見し、その安定化条件を理論的に明らかにした。

Research Products
(28 results)

All Other

All Publications (28 results)

[Publications] M.SANO,K.SATO,S.NASUNO and H.KOKUBO: "Comples Dynamics of LocalizedTarget Pattern in Electrohydrodynamic Convection" Phys.Rev.A15. 46. 3540-3543 (1992)
[Publications] S.SASA,T.MIZUGUCHI,and M.SANO: "Open and Closed Phase Jump Lines in Two-dimensional CellularPatterns" Europhysics Letters. 19. 593-596 (1992)
[Publications] B.Janiaud,H.KOKUBO,and M.SANO: "Coupled Phase Instability of a Cellular Pattern" Phys.Rev.E.47. (1993)
[Publications] A.YUSE and M.SANO: "Transition of Crack Pattern in Quenched Glass Plate" Narure. (1993)
[Publications] H.KOKUBO,M.SANO,J.Beatrice,and Y.SAWADA: "Generation Mechanism of a Localized Target Pattern in Electrohydrodynamic Convection" J.Phys.Soc.Jpn.(1993)
[Publications] A.TANAKA and M.SANO: "Measurement of Kinetic Effect on the Concentration Field of Growing Dendrite" J.Crystal Growth. 125. 59-64 (1992)
[Publications] K.KANEKO and T.IKEGAMI: "Homeochaos:dynamic stability ofaa symbiotic network with population dynamics and evolving mutation rates" Physica D. 56. 406-429 (1992)
[Publications] K.KANEKO: "Global Traveling Wave Triggered by Local Phase Slips" Phys.Rev.Lett.69. 905-908 (1992)
[Publications] K.KANEKO: "Chaotic Traveling Waves in a Coupled Map Lattice" Physica D. (1993)
[Publications] T.YANAGITA and K.KANEKO: "CML Model for Convection" Phys.Lett.A. (1992)
[Publications] Y.KURAMOTO,T.AOYAGI,I.NISHIKAWA,T.Chawanya,and K.OKUDA: "Neural network model carrying phase information with application to collective dynamics" Progr.Theor.Phys.87. 1119-1126 (1992)
[Publications] S.NAKAGAWA and Y.KURAMOTO: "Collective Chaos" Progr.Theor.Phys.(1993)
[Publications] Carnevale,G.F.,McWilliams,J.C.,Pomeau,Y.,Weiss,J.B.,Young,W.R.: "Rates,pathways,and end states of nonlinear evolution in decaying two-dimensional turbulence" Phys.Fluids A ,Fluid Dyn. 4. 1314-1316 (1992)
[Publications] Frisch,T.,Pomeau,Y.,Rica,S.: "Transition to dissipation in a model of superflow" Phys.Rev.Lett. 69. 1644-1647 (1992)
[Publications] Pomeau,Y.: "Spontaneous breaking of two dimensional bent crystals" C.R.Acad.Sci.II,Mec.Phys.Chim.Sci.Terre Universe,. 314. (1992)
[Publications] Douady,S.,Couder,Y.: "Phyllotaxis as a physical selh-organized growth process" Phys.Rev.Lett,. 68. 2098-2101 (1992)
[Publications] Zocchi,G.,Tabeling,P.,Ben Amar,M.: "Saffman-Taylor plumes" Phys.Rev.Lett,. 69. 601-604 (1992)
[Publications] Pouliquen,O.,Chomaz,J.m.,Huerre,P.,Tabeling,P.: "Wave-number selection and phase solitons ib spatially forced temporal mixing layers" Phys.Rev.Lett,. 68. 2596-2599 (1992)
[Publications] M.SATO,H.TASHIRO,A.OIKAWA and Y.SAWADA: "Patterning in Hydra Cell Aggregates without the Sorting of Cells from Different Axial Origins" Dev.Biol.151. 111-116 (1992)
[Publications] K.SUGAWARA,H.AOYAMA,and Y.SAWADA: "Dynamics and Mechanism of Self-sustained Oscillation of Lipid Impregnated in a Single Hole" J.Phys.Soc.Jpn.(1993)
[Publications] Y.HAYAKAWA,S.SATO,and Y.SAWADA: "Scaling Properties of Silicon Surfaces Anodized in HF Agueous Solution" (1993)
[Publications] F.Graner and J.A.Glazier: "Simulation of Biological Cell Sorting Using a Two-Dimensional Extended Potts Model" Phys.Rev.Lett.69. 2013-2016 (1992)
[Publications] J.A.Grazier and F.Graner: "Simulation of the different adhesiondriven rearrangement of biological cells" Phys.Rev.E.47. (1993)
[Publications] Fourcade,B.,Mutz,M.,Bensimon,D.: "Experimental and theoretical srudy of toroidal vesicles" Phys.Rev.Lett.68. 2551-2554 (1992)
[Publications] Bensimon,D.,Mukamel,D.,Peliti,L.: "Quenched curvature disorder in polymerized membranes" Europhys.Lett,. 18. 269-274 (1992)
[Publications] Daviaud,F.,Lega,P.,Coullet,P.,Dubois,M.: "Spatio-temporal intermittency in a 1D convective pattern:theoretical model and experiments" Physica D. 55. 287-308 (1992)
[Publications] H.Chate: "Lyapunov Analysis of Spatiotemporal Intermittency" Europhys.Lett.
[Publications] H.Chate: "Spatiotemporal Intermittency regimes of the onedimensional complex Ginzburg-Landau equation" Nonlinearity.

1992 Fiscal Year Annual Research Report

時空カオス

Principal Investigator

沢田 康次 東北大学, 電気通信研究所, 教授 (80028133)

Research Products

[Publications] M.SANO,K.SATO,S.NASUNO and H.KOKUBO: "Comples Dynamics of LocalizedTarget Pattern in Electrohydrodynamic Convection" Phys.Rev.A15. 46. 3540-3543 (1992)

[Publications] S.SASA,T.MIZUGUCHI,and M.SANO: "Open and Closed Phase Jump Lines in Two-dimensional CellularPatterns" Europhysics Letters. 19. 593-596 (1992)

[Publications] B.Janiaud,H.KOKUBO,and M.SANO: "Coupled Phase Instability of a Cellular Pattern" Phys.Rev.E.47. (1993)

[Publications] A.YUSE and M.SANO: "Transition of Crack Pattern in Quenched Glass Plate" Narure. (1993)

[Publications] H.KOKUBO,M.SANO,J.Beatrice,and Y.SAWADA: "Generation Mechanism of a Localized Target Pattern in Electrohydrodynamic Convection" J.Phys.Soc.Jpn.(1993)

[Publications] A.TANAKA and M.SANO: "Measurement of Kinetic Effect on the Concentration Field of Growing Dendrite" J.Crystal Growth. 125. 59-64 (1992)

[Publications] K.KANEKO and T.IKEGAMI: "Homeochaos:dynamic stability ofaa symbiotic network with population dynamics and evolving mutation rates" Physica D. 56. 406-429 (1992)

[Publications] K.KANEKO: "Global Traveling Wave Triggered by Local Phase Slips" Phys.Rev.Lett.69. 905-908 (1992)

[Publications] K.KANEKO: "Chaotic Traveling Waves in a Coupled Map Lattice" Physica D. (1993)

[Publications] T.YANAGITA and K.KANEKO: "CML Model for Convection" Phys.Lett.A. (1992)

[Publications] Y.KURAMOTO,T.AOYAGI,I.NISHIKAWA,T.Chawanya,and K.OKUDA: "Neural network model carrying phase information with application to collective dynamics" Progr.Theor.Phys.87. 1119-1126 (1992)

[Publications] S.NAKAGAWA and Y.KURAMOTO: "Collective Chaos" Progr.Theor.Phys.(1993)

[Publications] Carnevale,G.F.,McWilliams,J.C.,Pomeau,Y.,Weiss,J.B.,Young,W.R.: "Rates,pathways,and end states of nonlinear evolution in decaying two-dimensional turbulence" Phys.Fluids A ,Fluid Dyn. 4. 1314-1316 (1992)

[Publications] Frisch,T.,Pomeau,Y.,Rica,S.: "Transition to dissipation in a model of superflow" Phys.Rev.Lett. 69. 1644-1647 (1992)

[Publications] Pomeau,Y.: "Spontaneous breaking of two dimensional bent crystals" C.R.Acad.Sci.II,Mec.Phys.Chim.Sci.Terre Universe,. 314. (1992)

[Publications] Douady,S.,Couder,Y.: "Phyllotaxis as a physical selh-organized growth process" Phys.Rev.Lett,. 68. 2098-2101 (1992)

[Publications] Zocchi,G.,Tabeling,P.,Ben Amar,M.: "Saffman-Taylor plumes" Phys.Rev.Lett,. 69. 601-604 (1992)

[Publications] Pouliquen,O.,Chomaz,J.m.,Huerre,P.,Tabeling,P.: "Wave-number selection and phase solitons ib spatially forced temporal mixing layers" Phys.Rev.Lett,. 68. 2596-2599 (1992)

[Publications] M.SATO,H.TASHIRO,A.OIKAWA and Y.SAWADA: "Patterning in Hydra Cell Aggregates without the Sorting of Cells from Different Axial Origins" Dev.Biol.151. 111-116 (1992)

[Publications] K.SUGAWARA,H.AOYAMA,and Y.SAWADA: "Dynamics and Mechanism of Self-sustained Oscillation of Lipid Impregnated in a Single Hole" J.Phys.Soc.Jpn.(1993)

[Publications] Y.HAYAKAWA,S.SATO,and Y.SAWADA: "Scaling Properties of Silicon Surfaces Anodized in HF Agueous Solution" (1993)

[Publications] F.Graner and J.A.Glazier: "Simulation of Biological Cell Sorting Using a Two-Dimensional Extended Potts Model" Phys.Rev.Lett.69. 2013-2016 (1992)

[Publications] J.A.Grazier and F.Graner: "Simulation of the different adhesiondriven rearrangement of biological cells" Phys.Rev.E.47. (1993)

[Publications] Fourcade,B.,Mutz,M.,Bensimon,D.: "Experimental and theoretical srudy of toroidal vesicles" Phys.Rev.Lett.68. 2551-2554 (1992)

[Publications] Bensimon,D.,Mukamel,D.,Peliti,L.: "Quenched curvature disorder in polymerized membranes" Europhys.Lett,. 18. 269-274 (1992)

[Publications] Daviaud,F.,Lega,P.,Coullet,P.,Dubois,M.: "Spatio-temporal intermittency in a 1D convective pattern:theoretical model and experiments" Physica D. 55. 287-308 (1992)

[Publications] H.Chate: "Lyapunov Analysis of Spatiotemporal Intermittency" Europhys.Lett.

[Publications] H.Chate: "Spatiotemporal Intermittency regimes of the onedimensional complex Ginzburg-Landau equation" Nonlinearity.

沢田康次東北大学, 電気通信研究所, 教授 (80028133)