منابع مشابه
Discontinuity 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 کاملClassification of Processes by the Lyapunov Exponent
This paper deals with the problem of the discrimination between wellpredictable and not-well-predictable time series. One criterion for the separation is given by the size of the Lyapunov exponent, which was originally defined for deterministic systems. However, the Lyapunov exponent can also be analyzed and used for stochastic time series. Experimental results illustrate the classification bet...
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 کاملMeasuring the Lyapunov exponent using quantum mechanics.
We study the time evolution of two wave packets prepared at the same initial state, but evolving under slightly different Hamiltonians. For chaotic systems, we determine the circumstances that lead to an exponential decay with time of the wave packet overlap function. We show that for sufficiently weak perturbations, the exponential decay follows a Fermi golden rule, while by making the differe...
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...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1999
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(99)00043-9