The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy
| Autor: | Sándor, Zsolt, Maffione, Nicolas Pablo |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Earth and Planetary Astrophysics (astro-ph.EP)
RLI Ciencias Físicas Dark Matter Halo Planetary System FOS: Physical sciences Física purl.org/becyt/ford/1.3 [https] Nonlinear Sciences - Chaotic Dynamics Giant Planet purl.org/becyt/ford/1 [https] Astronomía Ciencias Naturales Chaotic Orbit Relative Lyapunov Indicator Chaotic Dynamics (nlin.CD) Hamiltonian systems CIENCIAS NATURALES Y EXACTAS Ciencias Exactas Regular Orbit Astrophysics - Earth and Planetary Astrophysics |
| Zdroj: | RID-UNRN (UNRN) Universidad Nacional de Río Negro instacron:UNRN CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET |
| Popis: | 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. 39 pages, 21 figures. Non proof read version of the paper accepted in Lecture Notes in Physics |
| Databáze: | OpenAIRE |
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