Estimation of initial conditions from a scalar time series

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dc.creatorMaybhate, Anil
dc.creatorAmritkar, R. E.
dc.date2000-02-17
dc.date.accessioned2026-07-07T05:32:41Z
dc.date.available2026-07-07T05:32:41Z
dc.descriptionWe introduce a method to estimate the initial conditions of a mutivariable dynamical system from a scalar signal. The method is based on a modified multidimensional Newton-Raphson method which includes the time evolution of the system. The method can estimate initial conditions of periodic and chaotic systems and the required length of scalar signal is very small. Also, the method works even when the conditional Lyapunov exponent is positive. An important application of our method is that synchronization of two chaotic signals using a scalar signal becomes trivial and instantaneous.
dc.description6 pages of revtex with 2 PostScript files for figures; submitted to Phys.Rev.Lett
dc.identifierhttps://arxiv.org/abs/nlin/0002024
dc.identifierhttp://arxiv.org/abs/nlin/0002024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79744
dc.subjectChaotic Dynamics
dc.titleEstimation of initial conditions from a scalar time series
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