{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T12:39:01Z","timestamp":1769171941402,"version":"3.49.0"},"reference-count":56,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2000,11]]},"abstract":"<jats:p> We discuss cross-spectral analysis and report applications for the investigation of human tremors. For the physiological tremor in healthy subjects, the analysis enables to determine the resonant contribution to the oscillation and allows to test for a contribution of reflexes to this tremor. Comparing the analysis of the relation between the tremor of both hands in normal subjects and subjects with a rare abnormal organization of certain neural pathways proves the involvement of central structures in enhanced physiological tremor. The relation between the left and the right side of the body in pathological tremor shows a specific difference between orthostatic and all other forms of tremor. An investigation of EEG and tremor in patients suffering from Parkinson's disease reveals the tremor-correlated cortical activity. Finally, the general issue of interpreting the results of methods designed for the analysis of bivariate processes when applied to multivariate processes is considered. We discuss and apply partial cross-spectral analysis in the frame of graphical models as an extention of bivariate cross-spectral analysis for the multivariate case. <\/jats:p>","DOI":"10.1142\/s0218127400001663","type":"journal-article","created":{"date-parts":[[2003,5,7]],"date-time":"2003-05-07T08:18:55Z","timestamp":1052295535000},"page":"2595-2610","source":"Crossref","is-referenced-by-count":36,"title":["CROSS-SPECTRAL ANALYSIS OF TREMOR TIME SERIES"],"prefix":"10.1142","volume":"10","author":[{"given":"J.","family":"TIMMER","sequence":"first","affiliation":[{"name":"Zentrum f\u00fcr Datenanalyse und Modellbildung and Department of Physics, University of Freiburg, Eckerstr. 1, 79104 Freiburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"LAUK","sequence":"additional","affiliation":[{"name":"Zentrum f\u00fcr Datenanalyse und Modellbildung and Department of Physics, University of Freiburg, Eckerstr. 1, 79104 Freiburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"H\u00c4U\u00dfLER","sequence":"additional","affiliation":[{"name":"Zentrum f\u00fcr Datenanalyse und Modellbildung and Department of Physics, University of Freiburg, Eckerstr. 1, 79104 Freiburg, Germany"},{"name":"Department of Neurology and Clinical Neurophysiology, University of Freiburg, Breisacher Str. 64, 79110 Freiburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V.","family":"RADT","sequence":"additional","affiliation":[{"name":"Zentrum f\u00fcr Datenanalyse und Modellbildung and Department of Physics, University of Freiburg, Eckerstr. 1, 79104 Freiburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"K\u00d6STER","sequence":"additional","affiliation":[{"name":"Department of Neurology and Clinical Neurophysiology, University of Freiburg, Breisacher Str. 64, 79110 Freiburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"HELLWIG","sequence":"additional","affiliation":[{"name":"Department of Neurology and Clinical Neurophysiology, University of Freiburg, Breisacher Str. 64, 79110 Freiburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"GUSCHLBAUER","sequence":"additional","affiliation":[{"name":"Department of Neurology and Clinical Neurophysiology, University of Freiburg, Breisacher Str. 64, 79110 Freiburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C. H.","family":"L\u00dcCKING","sequence":"additional","affiliation":[{"name":"Department of Neurology and Clinical Neurophysiology, University of Freiburg, Breisacher Str. 64, 79110 Freiburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"EICHLER","sequence":"additional","affiliation":[{"name":"Institute for Applied Mathematics, University  of Heidelberg, Im Neuenheimer Feld 294, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G.","family":"DEUSCHL","sequence":"additional","affiliation":[{"name":"Department of Neurology, University of Kiel, Niemannsweg 147, 24105 Kiel, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/0924-980X(96)95533-2"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1007\/BF00365087"},{"key":"p_6","first-page":"1","volume":"16","author":"Brillinger D. R.","year":"1996","journal-title":"Revista de Econometrica"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1007\/BF00839142"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1007\/BF00317968"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1136\/jnnp.52.1.130-a"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1093\/brain\/114.1.381"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0270(97)00100-3"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1007\/s001840000055"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1001\/archneur.1991.00530240051018"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1097\/00004691-199603000-00002"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1002\/mds.870131303"},{"key":"p_18","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1152\/jn.1976.39.2.370","volume":"39","author":"Elble R. J.","year":"1976","journal-title":"J. Neurophysiol."},{"key":"p_19","doi-asserted-by":"publisher","DOI":"10.1016\/0013-4694(78)90106-2"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1212\/WNL.36.2.225"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1097\/00004691-199603000-00004"},{"key":"p_23","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1152\/jappl.1970.29.1.103","volume":"29","author":"Fox J. R.","year":"1970","journal-title":"J. Appl. Physiol."},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1007\/BF00204112"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1016\/S0079-6107(96)00009-0"},{"key":"p_26","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/58.3.469"},{"key":"p_27","first-page":"806","volume":"111","author":"Hellwig B.","year":"2000","journal-title":"Electroencephalogr. Clin. Neurophysiol."},{"key":"p_28","doi-asserted-by":"publisher","DOI":"10.1007\/BF00229862"},{"key":"p_29","doi-asserted-by":"publisher","DOI":"10.1016\/0013-4694(75)90056-5"},{"key":"p_30","doi-asserted-by":"publisher","DOI":"10.1097\/00004691-199110000-00004"},{"key":"p_31","first-page":"359","volume":"32","author":"Iaizzo P. A.","year":"1992","journal-title":"Electromyogr. Clin. Neurophysiol."},{"key":"p_32","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1152\/jn.1938.1.2.87","volume":"1","author":"Jaspar H. H.","year":"1938","journal-title":"J. Neurophys."},{"key":"p_33","doi-asserted-by":"publisher","DOI":"10.1109\/TBME.1983.325120"},{"key":"p_34","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(98)00066-8"},{"key":"p_35","doi-asserted-by":"publisher","DOI":"10.1002\/1531-8249(199903)45:3<384::AID-ANA15>3.0.CO;2-J"},{"key":"p_36","first-page":"1774","volume":"110","author":"Lauk M.","year":"1999","journal-title":"Electroenceph. Clin. Neurophys."},{"key":"p_37","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-2607(99)00012-7"},{"key":"p_39","doi-asserted-by":"publisher","DOI":"10.1093\/brain\/117.3.531"},{"key":"p_40","doi-asserted-by":"crossref","first-page":"754","DOI":"10.1523\/JNEUROSCI.08-03-00754.1988","volume":"8","author":"Lenz F. A.","year":"1988","journal-title":"J. Neurosci."},{"key":"p_41","doi-asserted-by":"publisher","DOI":"10.1113\/jphysiol.1970.sp009018"},{"key":"p_42","first-page":"7","volume":"2","author":"Llin\u00e1s R.","year":"1995","journal-title":"Chap."},{"key":"p_43","first-page":"335","volume":"80","author":"L\u00fccking C.-H.","year":"1999","journal-title":"Adv. Neurol."},{"key":"p_44","doi-asserted-by":"publisher","DOI":"10.1002\/mds.870030201"},{"key":"p_46","doi-asserted-by":"crossref","first-page":"1929","DOI":"10.1152\/jappl.1991.71.5.1929","volume":"71","author":"Pozos R. S.","year":"1991","journal-title":"J. Appl. Physiol."},{"key":"p_48","doi-asserted-by":"publisher","DOI":"10.1002\/1531-8257(200001)15:1<84::AID-MDS1014>3.0.CO;2-K"},{"key":"p_49","doi-asserted-by":"publisher","DOI":"10.1016\/0079-6107(89)90004-7"},{"key":"p_51","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1152\/jn.1939.2.1.36","volume":"2","author":"Schwab R. S.","year":"1939","journal-title":"J. Neurophys."},{"key":"p_52","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1152\/jn.1980.44.1.40","volume":"44","author":"Stiles R. N.","year":"1980","journal-title":"J. Neurophys."},{"key":"p_53","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1152\/jn.1983.50.2.327","volume":"50","author":"Stiles R. N.","year":"1983","journal-title":"J. Neurophysiol."},{"key":"p_54","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.3291"},{"key":"p_55","doi-asserted-by":"publisher","DOI":"10.1007\/BF00202568"},{"key":"p_56","doi-asserted-by":"publisher","DOI":"10.1016\/0924-980X(96)94658-5"},{"key":"p_57","doi-asserted-by":"publisher","DOI":"10.1002\/bimj.4710390713"},{"key":"p_58","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127498001157"},{"key":"p_59","doi-asserted-by":"publisher","DOI":"10.1007\/s004220050439"},{"key":"p_60","doi-asserted-by":"publisher","DOI":"10.1007\/s004220050440"},{"key":"p_61","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-9473(98)00106-6"},{"key":"p_62","doi-asserted-by":"publisher","DOI":"10.1063\/1.166494"},{"key":"p_63","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.60.1773"},{"key":"p_64","doi-asserted-by":"publisher","DOI":"10.1212\/WNL.46.5.1359"},{"key":"p_65","doi-asserted-by":"publisher","DOI":"10.1212\/WNL.36.9.1241"},{"key":"p_67","first-page":"248","volume":"43","author":"Young R. R.","year":"1980","journal-title":"J. Physiol."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127400001663","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:15:17Z","timestamp":1565129717000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127400001663"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,11]]},"references-count":56,"aliases":["10.1016\/s0218-1274(00)00166-3"],"journal-issue":{"issue":"11","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2000,11]]}},"alternative-id":["10.1142\/S0218127400001663"],"URL":"https:\/\/doi.org\/10.1142\/s0218127400001663","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,11]]}}}