A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
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DOI：
10.1007/s10569-011-9373-z
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发表时间：
2011-08
影响因子：
1.6
通讯作者：
N. Maffione;L. Darriba;P. Cincotta;C. Giordano
中科院分区：
文献类型：
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作者：
N. Maffione;L. Darriba;P. Cincotta;C. Giordano
这项研究工作的目的是比较映射中混沌的几个变分指标的可靠性。包括Lyapunov指数、邻近轨道平均指数增长因子(MEGNO)、较小排列指数(SALI)、快速Lyapunov指数(FLI)、伸展数和相应光谱距离的动力学谱以及基于两个接近轨道之间差异的演化的相对Lyapunov指数(RLI)。本文提供的实验使我们能够可靠地建议一组混沌指标来分析一般映射。我们表明，由FLI和RLI(全局分析相图)和MEGNO和SALI(单独分析轨道)组成的程序包足以描述系统的动力学。
The aim of this research work is to compare the reliability of several variational indicators of chaos in mappings. The Lyapunov Indicator; the Mean Exponential Growth factor of Nearby Orbits (MEGNO); the Smaller Alignment Index (SALI); the Fast Lyapunov Indicator (FLI); the Dynamical Spectra of stretching numbers and the corresponding Spectral Distance and the Relative Lyapunov Indicator (RLI), which is based on the evolution of the difference between two close orbits, have been included. The experiments presented herein allow us to reliably suggest a group of chaos indicators to analyze a general mapping. We show that a package composed of the FLI and the RLI (to analyze the phase portrait globally) and the MEGNO and the SALI (to analyze orbits individually) is good enough to make a description of the systems’ dynamics.