713 research outputs found
LP-VIcode: a program to compute a suite of variational chaos indicators
An important point in analysing the dynamics of a given stellar or planetary
system is the reliable identification of the chaotic or regular behaviour of
its orbits. We introduce here the program LP-VIcode, a fully operational code
which efficiently computes a suite of ten variational chaos indicators for
dynamical systems in any number of dimensions. The user may choose to
simultaneously compute any number of chaos indicators among the following: the
Lyapunov Exponents, the Mean Exponential Growth factor of Nearby Orbits, the
Slope Estimation of the largest Lyapunov Characteristic Exponent, the Smaller
ALignment Index, the Generalized ALignment Index, the Fast Lyapunov Indicator,
the Othogonal Fast Lyapunov Indicator, the dynamical Spectra of Stretching
Numbers, the Spectral Distance, and the Relative Lyapunov Indicator. They are
combined in an efficient way, allowing the sharing of differential equations
whenever this is possible, and the individual stopping of their computation
when any of them saturates.Comment: 26 pages, 9 black-and-white figures. Accepted for publication in
Astronomy and Computing (Elsevier
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy
A recently introduced chaos detection method, the Relative Lyapunov Indicator
(RLI) is investigated in the cases of symplectic mappings and continuous
Hamiltonian systems. It is shown that the RLI is an efficient numerical tool in determining
the true nature of individual orbits, and in separating ordered and chaotic
regions of the phase space of dynamical systems. A comparison between the RLI
and some other variational indicators are presented, as well as the recent applications
of the RLI to various problems of dynamical astronomy
Solid-State Spectral Light Source System
A solid-state light source combines an array of light-emitting diodes (LEDs) with advanced electronic control and stabilization over both the spectrum and overall level of the light output. The use of LEDs provides efficient operation over a wide range of wavelengths and power levels, while electronic control permits extremely stable output and dynamic control over the output. In this innovation, LEDs are used instead of incandescent bulbs. Optical feedback and digital control are used to monitor and regulate the output of each LED. Because individual LEDs generate light within narrower ranges of wavelengths than incandescent bulbs, multiple LEDs are combined to provide a broad, continuous spectrum, or to produce light within discrete wavebands that are suitable for specific radiometric sensors
The relative Lyapunov indicators : Theory and application to dynamical astronomy
A recently introduced chaos detection method, the Relative Lyapunov Indicator (RLI) is investigated in the cases of symplectic mappings and continuous Hamiltonian systems. It is shown that the RLI is an efficient numerical tool in determining the true nature of individual orbits, and in separating ordered and chaotic regions of the phase space of dynamical systems. A comparison between the RLI and some other variational indicators are presented, as well as the recent applications of the RLI to various problems of dynamical astronomy.Instituto de AstrofÃsica de La Plat
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