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Volumn 15, Issue 3, 2010, Pages 342-352

Coarse-graining autonomous ODE systems by inducing a separation of scales: Practical strategies and mathematical questions

Author keywords

Computational coarse graining methodology; Sequential multiscale modeling; Time averaging

Indexed keywords

AUGMENTED SYSTEMS; COARSE GRAINING; MULTI-SCALE MODELING; SEPARATION OF SCALE; TIME AVERAGING; TIME-SCALES;

EID: 77952280124     PISSN: 10812865     EISSN: 17413028     Source Type: Journal    
DOI: 10.1177/1081286508100972     Document Type: Article
Times cited : (8)

References (12)
  • 1
    • 0012227045 scopus 로고    scopus 로고
    • Singularly perturbed ordinary differential equations with dynamic limits
    • Artstein, Z. and Vigodner, A. Singularly perturbed ordinary differential equations with dynamic limits. Proceedings of the Royal Society of Edinburgh, 126A, 541-569 ( 1996 ). (Pubitemid 126766824)
    • (1996) Royal Society of Edinburgh - Proceedings A , vol.126 , Issue.3 , pp. 541-569
    • Artstein, Z.1    Vigodner, A.2
  • 2
    • 18244398201 scopus 로고    scopus 로고
    • Parametrized invariant manifolds: A recipe for multiscale modeling?
    • Acharya, A. Parametrized invariant manifolds: a recipe for multiscale modeling? Computer Methods in Applied Mechanics and Engineering, 194, 3067-3089 ( 2005 ).
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , pp. 3067-3089
    • Acharya, A.1
  • 3
    • 33745946430 scopus 로고    scopus 로고
    • Model reduction via parametrized locally invariant manifolds: Some examples
    • Sawant, A. and Acharya, A. Model reduction via parametrized locally invariant manifolds: some examples. Computer Methods in Applied Mechanics and Engineering, 195, 6287-6311 ( 2006 ).
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , pp. 6287-6311
    • Sawant, A.1    Acharya, A.2
  • 5
    • 33746323651 scopus 로고    scopus 로고
    • On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: Toward the derivation of constitutive laws of the rate type
    • Acharya, A. and Sawant, A. On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type. Journal of the Mechanics and Physics of Solids, 54, 2183-2213 ( 2006 ).
    • (2006) Journal of the Mechanics and Physics of Solids , vol.54 , pp. 2183-2213
    • Acharya, A.1    Sawant, A.2
  • 6
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence, in dynamical systems and turbulence
    • Springer, Berlin
    • Takens, F. Detecting strange attractors in turbulence, in Dynamical Systems and Turbulence, Lecture Notes in Mathematics, Vol. 898, pp. 366-381, ed. D. A. Rand and L. S. Young, Springer, Berlin, 1980.
    • (1980) Lecture Notes in Mathematics , vol.898 , pp. 366-381
    • Takens, F.1
  • 8
    • 41349096005 scopus 로고    scopus 로고
    • False neighbors and false strands: A reliable minimum embedding dimension algorithm
    • Kennel, M.B. and Abarbanel, H.D.I. False neighbors and false strands: a reliable minimum embedding dimension algorithm. Physical Review E, 66, 026209 ( 2002 ).
    • (2002) Physical Review E. , vol.66 , pp. 026209
    • Kennel, M.B.1    Abarbanel, H.D.I.2
  • 9
    • 43949165886 scopus 로고
    • Estimating correlation dimension from a chaotic time series: When does plateau onset occur?
    • Ding, M., Grebogi, C., Ott, E., Sauer, T. and Yorke, J.A. Estimating correlation dimension from a chaotic time series: when does plateau onset occur? Physica D, 69, 404-424 ( 1993 ).
    • (1993) Physica D , vol.69 , pp. 404-424
    • Ding, M.1    Grebogi, C.2    Ott, E.3    Sauer, T.4    Yorke, J.A.5
  • 10
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Eckmann J.-P. and Ruelle, D. Ergodic theory of chaos and strange attractors. Reviews of Modern Physics, 57, 617-656 ( 1985 ).
    • (1985) Reviews of Modern Physics , vol.57 , pp. 617-656
    • Eckmann, J.-P.1    Ruelle, D.2
  • 12
    • 0012995124 scopus 로고    scopus 로고
    • Discontinuous and non-differentiable functions and dimension increase induced by filtering chaotic data
    • Pecora, L.M. and Carroll, T.L. Discontinuous and non-differentiable functions and dimension increase induced by filtering chaotic data. Chaos, 6, 432-439 ( 1996 ).
    • (1996) Chaos , vol.6 , pp. 432-439
    • Pecora, L.M.1    Carroll, T.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.