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Volumn 3, Issue 1, 2016, Pages

A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems

Author keywords

Benchmarking; Delay vector variance; Signal nonlinearity; Structural dynamics; Wind turbine blade

Indexed keywords


EID: 84958092442     PISSN: None     EISSN: 20545703     Source Type: Journal    
DOI: 10.1098/rsos.150493     Document Type: Article
Times cited : (17)

References (41)
  • 2
    • 84873708364 scopus 로고    scopus 로고
    • Hurst exponent footprints from activities on a large structural system
    • Pakrashi V, Kelly J, Harkin J, Farrell A. 2013 Hurst exponent footprints from activities on a large structural system. Physica A 392, 1803-1817. (doi: 10. 1016/j. physa. 2012. 11. 004).
    • (2013) Physica A , vol.392 , pp. 1803-1817
    • Pakrashi, V.1    Kelly, J.2    Harkin, J.3    Farrell, A.4
  • 3
    • 79251597214 scopus 로고    scopus 로고
    • Application of the continuous wavelet transform on the free vibrations of a steel-concrete composite railway bridge
    • ülker-Kaustell M, Karoumi R. 2011 Application of the continuous wavelet transform on the free vibrations of a steel-concrete composite railway bridge. Eng. Struct. 33, 911-919. (doi: 10. 1016/j. engstruct. 2010. 12. 012).
    • (2011) Eng. Struct , vol.33 , pp. 911-919
    • ülker-Kaustell, M.1    Karoumi, R.2
  • 4
    • 79955721946 scopus 로고    scopus 로고
    • Integrated seismic early warning and structural health monitoring of critical civil infrastructures in seismically prone areas
    • Rainieri C, Fabbrocino G, Cosenza E. 2011 Integrated seismic early warning and structural health monitoring of critical civil infrastructures in seismically prone areas. Struct. Health Monit. 10, 291-308. (doi: 10. 1177/1475921710373296).
    • (2011) Struct. Health Monit , vol.10 , pp. 291-308
    • Rainieri, C.1    Fabbrocino, G.2    Cosenza, E.3
  • 5
    • 84925945317 scopus 로고    scopus 로고
    • Development and validation of an automated operational modal analysis algorithm for vibration-based monitoring and tensile load estimation
    • Rainieri C, Fabbrocino G. 2015 Development and validation of an automated operational modal analysis algorithm for vibration-based monitoring and tensile load estimation. Mech. Syst. Signal Process. 60, 512-534. (doi: 10. 1016/j. ymssp. 2015. 01. 019).
    • (2015) Mech. Syst. Signal Process , vol.60 , pp. 512-534
    • Rainieri, C.1    Fabbrocino, G.2
  • 6
    • 84943139163 scopus 로고    scopus 로고
    • Damage and nonlinearities detection in wind turbine blades based on strain field pattern recognition. FBGs, OBR and strain gauges comparison
    • Sierra-Pérez J, Torres-Arredondo MA, Güemes A. 2016 Damage and nonlinearities detection in wind turbine blades based on strain field pattern recognition. FBGs, OBR and strain gauges comparison. Compos. Struct. 135, 156-166. (doi: 10. 1016/j. compstruct. 2015. 08. 137).
    • (2016) Compos. Struct , vol.135 , pp. 156-166
    • Sierra-Pérez, J.1    Torres-Arredondo, M.A.2    Güemes, A.3
  • 7
    • 67349128320 scopus 로고    scopus 로고
    • Statistical pattern recognition for Structural Health Monitoring using time series modeling: Theory and experimental verifications
    • Gul M, Catbas FN. 2009 Statistical pattern recognition for Structural Health Monitoring using time series modeling: theory and experimental verifications. Mech. Syst. Signal Process. 23, 2192-2204. (doi: 10. 1016/j. ymssp. 2009. 02. 013).
    • (2009) Mech. Syst. Signal Process , vol.23 , pp. 2192-2204
    • Gul, M.1    Catbas, F.N.2
  • 8
    • 84904105834 scopus 로고    scopus 로고
    • Damage detection and calibration from beam-moving oscillator interaction employing surface roughness
    • Jaksic V, O' Connor A, Pakrashi V. 2014 Damage detection and calibration from beam-moving oscillator interaction employing surface roughness. J. Sound Vibr. 333, 3917-3930. (doi: 10. 1016/ j. jsv. 2014. 04. 009).
    • (2014) J. Sound Vibr , vol.333 , pp. 3917-3930
    • Jaksic, V.1    O' Connor, A.2    Pakrashi, V.3
  • 9
    • 84938676166 scopus 로고    scopus 로고
    • Detecting the nonlinearity in time series from continuous dynamic systems based on delay vector variance method
    • Hou S, Li Y, Zhao S. 2007 Detecting the nonlinearity in time series from continuous dynamic systems based on delay vector variance method. Int. J. Eng. Appl. Sci. 3, 258-263.
    • (2007) Int. J. Eng. Appl. Sci , vol.3 , pp. 258-263
    • Hou, S.1    Li, Y.2    Zhao, S.3
  • 10
    • 0345792394 scopus 로고    scopus 로고
    • Surrogate time series
    • Schreiber T, Schmitz A. 2000 Surrogate time series. Physica D 142, 346-382. (doi: 10. 1016/s0167-2789(00)00043-9).
    • (2000) Physica D , vol.142 , pp. 346-382
    • Schreiber, T.1    Schmitz, A.2
  • 11
    • 44049111332 scopus 로고
    • Testing for nonlinearity in time series: The method of surrogate data
    • Theiler J, Eubank S, Longtin A, Galdrikian B, Doyne Farmer J. 1992 Testing for nonlinearity in time series: the method of surrogate data. Physica D 58, 77-94. (doi: 10. 1016/0167-2789(92)90102-S).
    • (1992) Physica D , vol.58 , pp. 77-94
    • Theiler, J.1    Eubank, S.2    Longtin, A.3    Galdrikian, B.4    Doyne Farmer, J.5
  • 12
    • 33747376872 scopus 로고    scopus 로고
    • Testing for nonlinearity in irregular fluctuations with long-term trends
    • Nakamura T, Small M, Hirata Y. 2006 Testing for nonlinearity in irregular fluctuations with long-term trends. Phys. Rev. E 74, 026205. (doi: 10. 1103/PhysRevE. 74. 026205).
    • (2006) Phys. Rev. E , vol.74
    • Nakamura, T.1    Small, M.2    Hirata, Y.3
  • 13
    • 43949122562 scopus 로고    scopus 로고
    • Evidence consistent with deterministic chaos in human cardiac data: Surrogate and nonlinear dynamical modeling
    • Zhao Y, Sun J, Small M. 2008 Evidence consistent with deterministic chaos in human cardiac data: surrogate and nonlinear dynamical modeling. Int. J. Bifurcation Chaos 18, 141-160. (doi: 10. 1142/ S0218127408020197).
    • (2008) Int. J. Bifurcation Chaos , vol.18 , pp. 141-160
    • Zhao, Y.1    Sun, J.2    Small, M.3
  • 14
    • 84928318058 scopus 로고    scopus 로고
    • Testing for linear and nonlinear Gaussian processes in nonstationary time series
    • Rios RA, Small M, deMello RF. 2015 Testing for linear and nonlinear Gaussian processes in nonstationary time series. Int. J. Bifurcation Chaos 25, 1550013. (doi: 10. 1142/S0218127415500133).
    • (2015) Int. J. Bifurcation Chaos , vol.25
    • Rios, R.A.1    Small, M.2    deMello, R.F.3
  • 15
    • 0002516341 scopus 로고
    • Phase-randomized surrogates can produce spurious identifications of non-random structure
    • Rapp PE, Albano AM, Zimmerman ID, Jiménez-Montaño MA. 1994 Phase-randomized surrogates can produce spurious identifications of non-random structure. Phys. Lett. A 192, 27-33. (doi: 10. 1016/0375-9601(94)91010-3).
    • (1994) Phys. Lett. A , vol.192 , pp. 27-33
    • Rapp, P.E.1    Albano, A.M.2    Zimmerman, I.D.3    Jiménez-Montaño, M.A.4
  • 16
    • 0000810560 scopus 로고    scopus 로고
    • Practical implementation of nonlinear time series methods: The TISEAN package
    • Hegger R, Kantz H, Schreiber T. 1999 Practical implementation of nonlinear time series methods: the TISEAN package. Chaos 9, 413-433. (doi: 10. 1063/1. 166424).
    • (1999) Chaos , vol.9 , pp. 413-433
    • Hegger, R.1    Kantz, H.2    Schreiber, T.3
  • 17
    • 1142267539 scopus 로고    scopus 로고
    • The delay vector variance method for detecting determinism and nonlinearity in time series
    • Gautama T, Mandic DP, Hulle MMV. 2004 The delay vector variance method for detecting determinism and nonlinearity in time series. Physica D 190, 167-176. (doi: 10. 1016/j. physd. 2003. 11. 001).
    • (2004) Physica D , vol.190 , pp. 167-176
    • Gautama, T.1    Mandic, D.P.2    Hulle, M.M.V.3
  • 18
    • 0000202504 scopus 로고
    • Chaos and deterministic versus stochastic non-linear modelling
    • Casdagli M. 1992 Chaos and deterministic versus stochastic non-linear modelling. J. R. Stat. Soc. B 54, 303-328. (doi: 10. 2307/2346130).
    • (1992) J. R. Stat. Soc. B , vol.54 , pp. 303-328
    • Casdagli, M.1
  • 19
    • 0000541993 scopus 로고    scopus 로고
    • Discrimination power of measures for nonlinearity in a time series
    • Schreiber T, Schmitz A. 1997 Discrimination power of measures for nonlinearity in a time series. Phys. Rev. E 55, 5443. (doi: 10. 1103/PhysRevE. 55. 5443).
    • (1997) Phys. Rev. E , vol.55 , pp. 5443
    • Schreiber, T.1    Schmitz, A.2
  • 20
    • 29444452036 scopus 로고
    • Exceptional events as evidence for determinism
    • Kaplan DT. 1994 Exceptional events as evidence for determinism. Physica D 73, 38-48. (doi: 10. 1016/0167-2789(94)90224-0).
    • (1994) Physica D , vol.73 , pp. 38-48
    • Kaplan, D.T.1
  • 21
    • 35949006791 scopus 로고
    • Determining embedding dimension for phase-space reconstruction using a geometrical construction
    • Kennel MB, Brown R, Abarbanel HDI. 1992 Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev. A 45, 3403-3411. (doi: 10. 1103/PhysRevA. 45. 3403).
    • (1992) Phys. Rev. A , vol.45 , pp. 3403-3411
    • Kennel, M.B.1    Brown, R.2    Abarbanel, H.D.I.3
  • 24
    • 0037528175 scopus 로고    scopus 로고
    • Indications of nonlinear structures in brain electrical activity
    • Gautama T, Mandic DP, Hulle MMV. 2003 Indications of nonlinear structures in brain electrical activity. Phys. Rev. E 67, 046204. (doi: 10. 1103/PhysRevE. 67. 046204).
    • (2003) Phys. Rev. E , vol.67
    • Gautama, T.1    Mandic, D.P.2    Hulle, M.M.V.3
  • 25
    • 0038105083 scopus 로고    scopus 로고
    • Signal nonlinearity in fMRI: A comparison between BOLD and MION
    • Gautama T, Mandic DP, Hulle MMV. 2003 Signal nonlinearity in fMRI: a comparison between BOLD and MION. IEEE Trans. Med. Imag. 22, 636-644. (doi: 10. 1109/TMI. 2003. 812248).
    • (2003) IEEE Trans. Med. Imag , vol.22 , pp. 636-644
    • Gautama, T.1    Mandic, D.P.2    Hulle, M.M.V.3
  • 26
    • 40749140764 scopus 로고    scopus 로고
    • On the characterization of the deterministic/stochastic and linear/nonlinear nature of time series
    • Mandic DP, Chen M, Gautama T, Van Hulle MM, Constantinides A. 2008 On the characterization of the deterministic/stochastic and linear/nonlinear nature of time series. Proc. R. Soc. A 464, 1141-1160. (doi: 10. 1098/rspa. 2007. 0154).
    • (2008) Proc. R. Soc. A , vol.464 , pp. 1141-1160
    • Mandic, D.P.1    Chen, M.2    Gautama, T.3    Van Hulle, M.M.4    Constantinides, A.5
  • 27
    • 84870790679 scopus 로고    scopus 로고
    • The effect of aging on nonlinearity and stochastic nature of heart rate variability signal computed using delay vector variance method
    • Kuntamalla S, Reddy RGL. 2011 The effect of aging on nonlinearity and stochastic nature of heart rate variability signal computed using delay vector variance method. Int. J. Comput. Appl. 14, 40-44. (doi: 10. 5120/1837-2470).
    • (2011) Int. J. Comput. Appl , vol.14 , pp. 40-44
    • Kuntamalla, S.1    Reddy, R.G.L.2
  • 29
    • 0002060398 scopus 로고    scopus 로고
    • Interdisciplinary application of nonlinear time series methods
    • Schreiber T. 1999 Interdisciplinary application of nonlinear time series methods. Phys. Rep. 308, 1-64. (doi: 10. 1016/S0370-1573(98)000 35-0).
    • (1999) Phys. Rep , vol.308 , pp. 1-64
    • Schreiber, T.1
  • 31
    • 84921329594 scopus 로고    scopus 로고
    • Dynamic response signatures of a scaled model platform for floating wind turbines in an ocean wave basin
    • Jaksic V, O'Shea R, Cahill P, Murphy J, Mandic DP, Pakrashi V. 2015 Dynamic response signatures of a scaled model platform for floating wind turbines in an ocean wave basin. Phil. Trans. R. Soc. A 373, 20140078. (doi: 10. 1098/rsta. 2014. 0078).
    • (2015) Phil. Trans. R. Soc. A , vol.373
    • Jaksic, V.1    O'Shea, R.2    Cahill, P.3    Murphy, J.4    Mandic, D.P.5    Pakrashi, V.6
  • 33
    • 84938703041 scopus 로고    scopus 로고
    • A delay vector variance based marker for an output-only assessment of structural changes in tension leg platforms
    • Jaksic V, Wright C, Mandic DP, Murphy J, Pakrashi V. 2015 A delay vector variance based marker for an output-only assessment of structural changes in tension leg platforms. J. Phys. Conf. Ser. 628, 012059. (doi: 10. 1088/1742-6596/628/1/012059).
    • (2015) J. Phys. Conf. Ser , vol.628
    • Jaksic, V.1    Wright, C.2    Mandic, D.P.3    Murphy, J.4    Pakrashi, V.5
  • 34
    • 84941928815 scopus 로고    scopus 로고
    • Estimation of nonlinearities from pseudodynamic and dynamic responses of bridge structures using the Delay Vector Variance method
    • Jaksic V, Mandic DP, Karoumi R, Basu B, Pakrashi V. 2015 Estimation of nonlinearities from pseudodynamic and dynamic responses of bridge structures using the Delay Vector Variance method. Physica A: Statistical Mechanics and its Applications 441, 100-120. (doi: 10. 1016/ j. physa. 2015. 08. 026).
    • (2015) Physica A: Statistical Mechanics and its Applications , vol.441 , pp. 100-120
    • Jaksic, V.1    Mandic, D.P.2    Karoumi, R.3    Basu, B.4    Pakrashi, V.5
  • 37
    • 39749147182 scopus 로고    scopus 로고
    • Detecting the nonlinear determinism of a room acoustic system using surrogates
    • Xu Z-L, Wang Y-Y, Zhou J-L, He P-Y. 2007 Detecting the nonlinear determinism of a room acoustic system using surrogates. J. Sichuan Univ. 39, 155-158.
    • (2007) J. Sichuan Univ , vol.39 , pp. 155-158
    • Xu, Z.-L.1    Wang, Y.-Y.2    Zhou, J.-L.3    He, P.-Y.4
  • 39
    • 84920769308 scopus 로고    scopus 로고
    • The code is provided under the GNU General Public License (GPL)
    • Mandic DP. 2010 A Delay Vector Variance toolbox for MATLAB. The code is provided under the GNU General Public License (GPL). Available from: http: //www. commsp. ee. ic. ac. uk/∼mandic/dvv. htm.
    • (2010) A Delay Vector Variance toolbox for MATLAB
    • Mandic, D.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.