Detecting resonances in conservative maps using evolutionary algorithms

Autor:	Michael N. Vrahatis, Tassos Bountis, Chris G. Antonopoulos, Y. G. Petalas
Rok vydání:	2009
Předmět:	Physics Optimization problem Integrable system Simple (abstract algebra) Numerical analysis Evolutionary algorithm Chaotic General Physics and Astronomy Global optimization Algorithm Task (project management)
Zdroj:	Physics Letters A. 373:334-341
ISSN:	0375-9601
DOI:	10.1016/j.physleta.2008.11.035
Popis:	Article history: Received 5 December 2007 Received in revised form 29 September A numerical method is proposed for detecting resonances of conservative maps which reduces this task to an optimization problem. We then solve this problem using evolutionary algorithms, which are methods for global optimization inspired by biological evolution. The proposed methodology is simple and can be easily applied to maps of arbitrary dimensions. In this Letter we apply it to several examples of 2- and 4-dimensional conservative maps, with quite promising results concerning integrability, the location of resonances and the presence of chaotic regions surrounding the island chains that correspond to these resonances.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::608ed76e1a908d5adeab856e6a1c706c https://doi.org/10.1016/j.physleta.2008.11.035 Zobrazit plný text záznamu Full Text from ScienceDirect