메뉴 건너뛰기




Volumn 13, Issue 6, 2003, Pages 519-577

Delay embeddings for forced systems. II. stochastic forcing

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84867960650     PISSN: 09388974     EISSN: 14321467     Source Type: Journal    
DOI: 10.1007/s00332-003-0534-4     Document Type: Article
Times cited : (154)

References (27)
  • 1
    • 0042431146 scopus 로고
    • Transversality in Manifolds of Mappings
    • Abraham R., 1963, Transversality in Manifolds of Mappings, Bull. Amer. Math. Soc., 69, 470-474.
    • (1963) Bull. Amer. Math. Soc. , vol.69 , pp. 470-474
    • Abraham, R.1
  • 3
    • 0019610283 scopus 로고
    • Generic observability of differentiable systems
    • Aeyels D., 1981, Generic Observability of Differentiable Systems, SIAM J. Control and Optimization, 19, 595-603.
    • (1981) SIAM J. Control and Optimization , vol.19 , pp. 595-603
    • Aeyels, D.1
  • 7
    • 0000948742 scopus 로고
    • A dynamical systems approach to modelling input-output systems
    • In M. Casdagli and S. Eubank, eds. Addison-Wesley, Reading, MA
    • Casdagli M., 1992, A Dynamical Systems Approach to Modelling Input-Output Systems. In M. Casdagli and S. Eubank, eds., Nonlinear Modelling and Forecasting, Addison-Wesley, Reading, MA.
    • (1992) Nonlinear Modelling and Forecasting
    • Casdagli, M.1
  • 8
    • 0024885063 scopus 로고
    • Modelling and analysis of non-linear time series
    • Chen S. and Billings S.A., 1989, Modelling and Analysis of Nonlinear Time Series, Int. J. Control, 50, 2151-2171. (Pubitemid 20647097)
    • (1989) International Journal of Control , vol.50 , Issue.6 , pp. 2151-2171
    • Chen, S.1    Billings, S.A.2
  • 9
    • 84968497720 scopus 로고
    • A setting for global analysis
    • Eells J., 1966, A Setting for Global Analysis, Bull. Amer. Math. Soc., 72, 751-807.
    • (1966) Bull. Amer. Math. Soc. , vol.72 , pp. 751-807
    • Eells, J.1
  • 10
    • 0013000625 scopus 로고
    • Calculus on vector bundles
    • Foster M.J., 1975, Calculus on Vector Bundles, J. London Math. Soc., 11, 65-73.
    • (1975) J. London Math. Soc. , vol.11 , pp. 65-73
    • Foster, M.J.1
  • 11
    • 0001331491 scopus 로고
    • Manifolds of cr mappings and applications to dynamical systems
    • Franks J., 1979, Manifolds of Cr Mappings and Applications to Dynamical Systems, Adv. in Math. Supplementary Studies, 4, 271-290.
    • (1979) Adv. in Math. Supplementary Studies , vol.4 , pp. 271-290
    • Franks, J.1
  • 13
    • 33947369542 scopus 로고
    • Embedding nonlinear dynamical systems
    • Internal Report, DRA, Malvern, UK
    • Huke J.P., 1993, Embedding Nonlinear Dynamical Systems, A Guide to Takens Theorem, Internal Report, DRA, Malvern, UK.
    • (1993) A Guide to Takens Theorem
    • Huke, J.P.1
  • 15
    • 0022011215 scopus 로고
    • Input-output parametric models for nonlinear systems, part II: Stochastic nonlinear systems
    • Leontaritis I.J. and Billings S.A., 1985, Input-Output Parametric Models for Nonlinear Systems, Part II: Stochastic Nonlinear Systems, Int. J. Control, 41, 329-344. (Pubitemid 15476364)
    • (1985) International Journal of Control , vol.41 , Issue.2 , pp. 329-344
    • Leontaritis, I.J.1    Billings, S.A.2
  • 17
    • 0002710392 scopus 로고
    • Some convergence theorems for stochastic learning operators
    • Norman M.F., 1968, Some Convergence Theorems for Stochastic Learning Operators, J. Math. Psychology, 5, 61-101.
    • (1968) J. Math. Psychology , vol.5 , pp. 61-101
    • Norman, M.F.1
  • 21
    • 0018468268 scopus 로고
    • Realization theory of discrete-time nonlinear systems, Part I: The bounded case
    • Sontag E.D., 1979b, Realization Theory of Discrete-Time Nonlinear Systems, Part I: The Bounded Case, IEEE Trans. Circuits and Systems, 26, 342-356.
    • (1979) IEEE Trans. Circuits and Systems , vol.26 , pp. 342-356
    • Sontag, E.D.1
  • 22
    • 0042848806 scopus 로고    scopus 로고
    • For differential equations with r parameters, 2r + 1 experiments are enough for identification
    • DOI 10.1007/s00332-002-0506-0
    • Sontag E.D., 2002, For Differential Equations with r Parameters, 2r + 1 Experiments Are Enough for Identification, J. Nonlinear Sci., 12, 553-583. (Pubitemid 135694338)
    • (2002) Journal of Nonlinear Science , vol.12 , Issue.6 , pp. 553-583
    • Sontag, E.D.1
  • 23
    • 0000738499 scopus 로고    scopus 로고
    • Delay embeddings for forced systems. I. Deterministic forcing
    • Stark J., 1999, Delay Embeddings for Forced Systems, Part I: Deterministic Forcing, J. Nonlinear Sci., 9, 255-332. (Pubitemid 129559092)
    • (1999) Journal of Nonlinear Science , vol.9 , Issue.3 , pp. 255-332
    • Stark, J.1
  • 24
    • 0009627551 scopus 로고    scopus 로고
    • In A .I. Mees, ed. Nonlinear Dynamics and Statistics, Birkḧauser, Basel
    • Stark J., 2001, Delay Reconstruction: Dynamics v. Statistics. In A.I. Mees, ed., Nonlinear Dynamics and Statistics, Birkḧauser, Basel.
    • (2001) Delay Reconstruction: Dynamics V. Statistics.
    • Stark, J.1
  • 26
    • 0003712165 scopus 로고
    • In D.A. Rand and L.-S. Young, eds., Dynamical Systems and Turbulence, Warwick 1980, Springer Verlag, Berlin
    • Takens F., 1980, Detecting Strange Attractors in Fluid Turbulence. In D.A. Rand and L.-S. Young, eds., Dynamical Systems and Turbulence, Warwick 1980, Springer-Verlag, Berlin.
    • (1980) Detecting Strange Attractors in Fluid Turbulence.
    • Takens, F.1
  • 27
    • 0029343657 scopus 로고
    • Orders of Input/Output differential equations and state space dimensions
    • Wang Y. and Sontag E.D., 1995, Orders of Input/Output Differential Equations and State Space Dimensions, SIAM J. Control Optim., 33, 1102-1126.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 1102-1126
    • Wang, Y.1    Sontag, E.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.