IALP 13078
INSTITUTO DE ASTROFISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method
Autor/es:
PABLO CINCOTTA; C.M. GIORDANO
Revista:
LECTURE NOTES IN PHYSICS
Editorial:
Springer Verlag
Referencias:
Lugar: Berlin; Año: 2016 vol. 915 p. 93 - 128
ISSN:
0075-8450
Resumen:
In this chapter we discuss in a pedagogical way and from the very beginning the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method, that has proven, in the last ten years, to be efficient to investi- gate both regular and chaotic components of phase space of a Hamiltonian system. It is a fast indicator that provides a clear picture of the resonance structure, the location of stable and unstable periodic orbits as well as a mea- sure of hyperbolicity in chaotic domains which coincides with that given by the maximum Lyapunov characteristic exponent but in a shorter evolution time. Applications of the MEGNO to simple discrete and continuous dynam- ical systems are discussed and an overview of the stability studies present in the literature encompassing quite different dynamical systems is provided.
