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A general calculation method of calculating the spectrum of Lyapunov exponents is presented for n-dimensional nonlinear non-smooth systems by using the Poincaré map method.
In an associated Excel file (Online Resource 5), we have illustrated the autoregressive approach which consists of adjusting the series by an AR model of high enough order and calculating the spectrum of the corresponding process, without the restrictions on series length of the fast Fourier transform.
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While Bohr's theory worked for hydrogen, the simplest atom, it bogged down when theorists tried to calculate the spectrum of bigger atoms.
In this paper, we calculate the spectrum of curvature perturbation generated during the emergence of island.
With these expressions, we calculated the spectrum of refractive index (Figure 3, circles).
SOFTSUSY is a program which accurately calculates the spectrum of superparticles in the Minimal Supersymmetric Standard Model (MSSM).
The gray line shows a time window from 12.00 to 1.77 s before the arrival time of the P wave, which was used to calculate the spectrum of a noise in (b).
Climente et al. calculated the spectrum of a Mn ion in a p-type InAs quantum disk in a magnetic field as a function of the number of holes described by the Luttinger-Kohn Hamiltonian [10].
To test whether our model has one or more chaotic region(s) and how wide it (they) is (are), we calculated the spectrum of global Lyapunov exponents of the model at different hyperpolarization levels.
Spectra collected by the photodiode array were analyzed by singular-value decomposition to calculate the spectrum of a reaction intermediate using KinTek Explorer (KinTek Corp).
We calculated the spectrum of cosine values by comparing each gene to a particular seed and divided the resulting cosine value distribution into 16 even sections from −1 to 1.
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