Recently some authors [Z. Wenpeng and W. Tingting, Appl. Math. Comput. 218 (10) (2012), 6164–6167; T. Komatsu and V. Laohakosol, J. Integer Seq. 13 (5) (2010), Article 10.5.8.] computed partial in…nite sums including reciprocal usual Fibonacci, Pell and generalized order-k Fibonacci numbers. In this paper we will present generalizations of earlier results by considering more generalized higher ...

downwards line segments in the recurrence plots because it is Single beats from ECG recording were used to demonstrate opposite in direction to the downwards part of the S wave. how the nonlinear dynamical analysis method of recurrence The effect is more prominent in figure (d) because the rise in plots can be used to qualitatively describe data. the signal is more gradual. Kevwords: nonlinear ...

Given a set of time series, our goal is to identify prototypes that cover the maximum possible amount of occurring subsequences regardless of their order. This scenario appears in the context of the automotive industry, where the goal is to determine operational profiles that comprise frequently recurring driving behavior patterns. This problem can be solved by clustering, however, standard dis...

Recurrence plot based methods are highly efficient and widely accepted tools for the investigation of time series or one-dimensional data. We present an extension of the recurrence plots and their quantifications in order to study recurrent structures in higher-dimensional spatial data. The capability of this extension is illustrated on prototypical 2D models. Next, the tested and proved approa...

A graphical method based on recurrence plots is used in the reconstruction of the phase space from a time series of measurements. It is demonstrated that if the embedding delay and dimension are correctly chosen, the recurrence plot of a smooth dynamical system has a particularly simple form. It is shown how to use recurrence plots to determine the correct embedding parameters so that reliable ...