A novel Hilbert-twin (H-twin) method is introduced as an alternative method for the computation of the resonant frequency for exponentially damped free decays embedded in noise. We also present the comparison among the following methods used to compute the dynamic elastic modulus in solids: the parametric OMI (Optimization in Multiple Intervals), the Yoshida-Magalas (YM) interpolated discrete F...

Keywords: Discrete Homological nontrivial critical point Morse theory Local linking a b s t r a c t In this paper, the existence and multiplicity results of solutions are obtained for the discrete nonlinear two point boundary value problem (BVP) ÀD 2 uðk À 1Þ ¼ kf ðk; uðkÞÞ k 2 þ is a parameter. By using the critical point theory and Morse theory, we obtain that the above (BVP) has solutions fo...

If values that we monitor changes during discrete periods (for example, in discrete time intervals), the formula above leads to a difference equation or a dynamical system. In this case, we are dealing with a function that depends on discrete integer values – a sequence. Recall that a sequence of real numbers (indexed by nonnegative integers) can be given by listing its terms (for example, 1, 1...

Discretization is a process of dividing a continuous attribute into a finite set of intervals to generate an attribute with small number of distinct values, by associating discrete numerical value with each of the generated intervals. Discretization is usually performed prior to the learning process and has played an important role in data mining and knowledge discovery. The results of CAIM are...

Abstract: This paper addresses the problem of fault tolerant control over communication networks which induce time-varying delays in bounded intervals. The problem is formulated in a discrete-time setting by modeling the controlled plant which may be subject to failures as an uncertain discrete-time process connected to a discrete-time controller via a digital communication network. A procedure...

We explore the aging transition in a network of globally coupled Stuart-Landau oscillators under discrete time-dependent coupling. In this coupling, connections among are turned ON and OFF systematic manner, having either symmetric or an asymmetric time interval. discover that depending upon period duty cycle ON-OFF intervals, region shrinks drastically parameter space, therefore promoting rest...

We introduce ctsem, an R package for continuous time structural equation modeling of panel (N > 1) and time series (N = 1) data, using full information maximum likelihood. Most dynamic models (e.g., cross-lagged panel models) in the social and behavioural sciences are discrete time models. An assumption of discrete time models is that time intervals between measurements are equal, and that all ...

We applied spectral analysis on series of time intervals produced in a synchronization-continuation experiment. In the first condition intervals were produced by finger tapping, and in the second by an oscillatory motion of the hand. Results obtained in tapping were consistent with a discrete, event-based timing model. In the oscillatory condition, the spectra suggested a continuous, dynamic ti...

Perceptual rivalry, which implies binocular rivalry and ambiguous figure perception, is characterized by perceptual alternation between two stable interpretations of an unchanging stimulus. It is well known that the time intervals of alternation follow a gamma distribution (GD) commonly in various kinds of perceptual rivalry. A critical question is whether the GD reflects some general mechanism...