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Continuity of the Lyapunov Exponent for analytic quasi-perodic cocycles with singularities
the Lyapunov Exponent analytic quasi-perodic cocycles singularities Harper's model
2011/7/29
Abstract: We prove that the Lyapunov exponent of quasi-periodic cocyles with singularities behaves continuously over the analytic category. We thereby generalize earlier results, where singularities w...
Effects of uncertainties and errors on Lyapunov control
Effects uncertainties errors Lyapunov control
2010/11/4
Lyapunov control (open-loop) is often confronted with uncertainties and errors in practical applications. In this paper, we analyze the robustness of Lyapunov control against the uncertainties and er...
The elusive nature of the Lyapunov regime in the Loschmidt echo
The elusive nature Lyapunov regime Loschmidt echo
2010/10/21
The Loschmidt echo is a measure of the stability and reversibility of quantum evolution under perturbations of the Hamiltonian. One of the expected and most relevant characteristics of this quantity f...
Lyapunov,Floquet,and singular vectors for baroclinic waves
Lyapunov Floquet singular vectors baroclinic waves
2009/11/12
The dynamics of the growth of linear disturbances to a chaotic basic state is analyzed in an asymptotic model of weakly nonlinear, baroclinic wave-mean interaction. In this model, an ordinary differen...
Analysis of Effectiveness of Lyapunov Control for Non-generic Quantum States
Analysis Lyapunov Control Non-generic Quantum States
2010/4/12
A Lyapunov-based control design for natural trajectory-tracking problems is analyzed for quantum states where the analysis in the generic case is not applicable. Using dynamical systems tools we show ...
Analysis of Lyapunov Method for Control of Quantum States
Analysis Lyapunov Method Quantum States
2010/4/12
The natural trajectory tracking problem is studied for generic quantum states represented by density operators. A control design based on the Hilbert-Schmidt distance as a Lyapunov function is conside...
基于量子分子动力学模型,系统地研究了从48Ca到298114一系列核素在不同温度下的最大Lyapunov指数、密度涨落以及体系多重碎裂之间的关系.发现最大Lyapunov指数随温度变化有一峰值出现(该峰值所对应的温度为"临界温度"),在该临界温度时体系的密度涨落达到最大,碎块的质量分布能够给出较好的PowerLaw指数.通过对最大Lyapunov指数与密度涨落随时间变化行为的研究,发现密度涨落的时...