Use of phase space representation to investigate points of geodynamical interest

Bartha, G; Doufexopoulou, M; Massinas, B

dc.contributor.author	Bartha, G	en
dc.contributor.author	Doufexopoulou, M	en
dc.contributor.author	Massinas, B	en
dc.date.accessioned	2014-03-01T01:32:22Z
dc.date.available	2014-03-01T01:32:22Z
dc.date.issued	2009	en
dc.identifier.issn	1217-8977	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20100
dc.subject	Geoidal signal	en
dc.subject	GPS measurements	en
dc.subject	Nonlinear time series analysis	en
dc.subject	Phase space	en
dc.subject	Visual recurrence analysis	en
dc.subject.other	Chaotic behaviors	en
dc.subject.other	Continental scale	en
dc.subject.other	Dynamical model	en
dc.subject.other	Frequency domains	en
dc.subject.other	Motion equations	en
dc.subject.other	Neutral zone	en
dc.subject.other	Nonlinear time-series analysis	en
dc.subject.other	Phase space	en
dc.subject.other	Phase space representation	en
dc.subject.other	Phase spaces	en
dc.subject.other	Recurrence analysis	en
dc.subject.other	Small area	en
dc.subject.other	Time dependent	en
dc.subject.other	Time-delay method	en
dc.subject.other	Chaotic systems	en
dc.subject.other	Equations of motion	en
dc.subject.other	Global positioning system	en
dc.subject.other	Hamiltonians	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Phase space methods	en
dc.subject.other	Time series	en
dc.subject.other	Time series analysis	en
dc.subject.other	geodynamics	en
dc.subject.other	geoid	en
dc.subject.other	GPS	en
dc.subject.other	kinematics	en
dc.subject.other	reconstruction	en
dc.subject.other	time series	en
dc.subject.other	transform	en
dc.title	Use of phase space representation to investigate points of geodynamical interest	en
heal.type	journalArticle	en
heal.identifier.primary	10.1556/AGeod.44.2009.4.4	en
heal.identifier.secondary	http://dx.doi.org/10.1556/AGeod.44.2009.4.4	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	The kinematical behavior of points on an area of geodynamical interest is analyzed in a low - dimensional Riemann phase space in contrast to classic approaches that operate in time or frequency domains or in physical space. The phase space is reconstructed from series derived from regularly repeated GPS measurements that were transformed into a unified terrestrial frame. For the reconstruction the time-delay method was used, a concept in nonlinear time series analysis as developed by Packard (Packard et al. 1980) and proved by Takens (Takens 1981). The underlying dynamical model is a Hamiltonian motion equation so the reconstructed space is extended according to holonomic conjugated Hamiltonian coordinates. The GPS measurements are selected from a small area of geodynamical interest after its investigation based on analysis of raw geoidal signals (Doufexopoulou et al. 2006). Points from a neutral zone are used also for comparison purposes. The investigation aims to show that there exist significant differences in essential features of the chaotic behavior of the dynamical systems derived from the points of geodynamical interest and those from the neutral zone (in level of determinism and stability, in attractors, etc.). The method can be used to detect and investigate areas with geodynamical interest where already exist time dependent GPS measurements and at a large, continental scale.	en
heal.publisher	AKADEMIAI KIADO RT	en
heal.journalName	Acta Geodaetica et Geophysica Hungarica	en
dc.identifier.doi	10.1556/AGeod.44.2009.4.4	en
dc.identifier.isi	ISI:000272763000004	en
dc.identifier.volume	44	en
dc.identifier.issue	4	en
dc.identifier.spage	419	en
dc.identifier.epage	427	en