Global dynamics of coupled standard maps

T. Manos, Ch Skokos, T. Bountis

Research output: Contribution to journalConference article

6 Citations (Scopus)

Abstract

Understanding the dynamics of multi-dimensional conservative dynamical systems (Hamiltonian flows or symplectic maps) is a fundamental issue of nonlinear science. The Generalized ALignment Index (GALI), which was recently introduced and applied successfully for the distinction between regular and chaotic motion in Hamiltonian systems [1], is an ideal tool for this purpose. In the present paper we make a first step towards the dynamical study of multi-dimensional maps, by obtaining some interesting results for a 4-dimensional (4D) symplectic map consisting of N = 2 coupled standard maps [2]. In particular, using the new GALI3 and GALI4 indices, we compute the percentages of regular and chaotic motion of the map equally reliably but much faster than previously used indices, like GALI2 (known in the literature as SALI).

Original languageEnglish
Pages (from-to)367-371
Number of pages5
JournalAstrophysics and Space Science Proceedings
Issue number202449
DOIs
Publication statusPublished - Jan 1 2009
EventConference on Chaos in Astronomy, 2007 - Athens, Greece
Duration: Sep 17 2007Sep 20 2007

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Hamiltonians
dynamical systems
Dynamical systems
alignment
index
science

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Computer Science Applications
  • Spectroscopy
  • Space and Planetary Science
  • Nuclear and High Energy Physics

Cite this

Global dynamics of coupled standard maps. / Manos, T.; Skokos, Ch; Bountis, T.

In: Astrophysics and Space Science Proceedings, No. 202449, 01.01.2009, p. 367-371.

Research output: Contribution to journalConference article

Manos, T. ; Skokos, Ch ; Bountis, T. / Global dynamics of coupled standard maps. In: Astrophysics and Space Science Proceedings. 2009 ; No. 202449. pp. 367-371.
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