منابع مشابه
Finite size Lyapunov exponent: review on applications
In dynamical systems, the growth of infinitesimal perturbations is well characterized by the Lyapunov exponents. In many situations of interest, however, important phenomena involve finite amplitude perturbations, which are ruled by nonlinear dynamics out of tangent space, and thus cannot be captured by the standard Lyapunov exponents. We review the application of the finite size Lyapunov expon...
متن کاملMaximal Lyapunov exponent at crises.
We study the variation of Lyapunov exponents of simple dynamical systems near attractor-widening and attractor-merging crises. The largest Lyapunov exponent has universal behaviour, showing abrupt variation as a function of the control parameter as the system passes through the crisis point, either in the value itself, in the case of the attractor-widening crisis, or in the slope, for attractor...
متن کاملDiscontinuity of the Lyapunov Exponent
We study discontinuity of the Lyapunov exponent. We construct a limit-periodic Schrödinger operator, of which the Lyapunov exponent has a positive measure set of discontinuities. We also show that the limit-periodic potentials, whose Lyapunov exponent is discontinuous, are dense in the space of limit-periodic potentials.
متن کاملPredicting the Prevalence of COVID-19 and its Mortality Rate in Iran Using Lyapunov Exponent
Background: COVID-19 was first reported in late December 2019 in Wuhan, China, and spread rapidly throughout the world including Iran. Objective The purpose of this paper is to predict the prevalence of coronavirus and the number of confirmed cases and deaths in Iran based on the theory of chaos and measuring the Lyapunov exponent. Methods: In this analytical study, the number of confirmed ca...
متن کاملEvaluating Lyapunov exponent spectra with neural networks
A method using discrete cross-correlation for identifying and removing spurious Lyapunov exponents when embedding experimen tal data in a dimension greater than the origina l system is introduce d. The method uses a distribution of calculated exponent values produced by modeling a single time series many times or multiple instances of a time series. For this task, global models are shown to com...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2004
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2003.10.029