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Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method

Cincotta, Pablo Miguel et al · Springer Verlag Berlín · 2016

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Author / responsible party
Cincotta, Pablo Miguel et al
Publisher
Springer Verlag Berlín
Year
2016
Language
English

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Springer-Verlag Berlin Heidelberg(Review por invitación)In this chapter we discuss in a pedagogical way and from the verybeginning the "Mean Exponential Growth factor of Nearby Orbits method" (MEGNO), that has proven, in the last ten years, to be efficient to investigate 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 measure 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 dynamical systems are discussed and an overview of the stability studies presentin the literature encompassing quite different dynamical systems is provided. Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina Fil: Giordano, Claudia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina

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APA 7

Cincotta, P. M. E. A. (2016). Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method. Springer Verlag Berlín. http://hdl.handle.net/11336/143164

MLA

Cincotta, Pablo Miguel et al. Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method. Springer Verlag Berlín, 2016. http://hdl.handle.net/11336/143164.

Chicago

Cincotta, Pablo Miguel et al. 2016. Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method. Springer Verlag Berlín. http://hdl.handle.net/11336/143164.

Harvard

Cincotta, P. M. E. A. 2016, Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method, Springer Verlag Berlín, available at: http://hdl.handle.net/11336/143164 [Accessed 7 Aug. 2026].

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Title
Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method
Author / contributors
Cincotta, Pablo Miguel et al
Publisher
Springer Verlag Berlín
Publication year
2016
Language
English

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DYNAMICAL SYSTEMS; CHAOS; https://purl.org/becyt/ford/1.3; https://purl.org/becyt/ford/1
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