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Detecting resonances in conservative maps using evolutionary algorithms |
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| Authors: | YG Petalas CG Antonopoulos MN Vrahatis |
| Institution: | a Computational Intelligence Laboratory (CI Lab), Department of Mathematics, University of Patras, GR-26110 Patras, Greece b University of Patras Artificial Intelligence Research Center (UPAIRC), University of Patras, GR-26110 Patras, Greece c Center for Research and Applications of Nonlinear Systems (CRANS), Department of Mathematics, University of Patras, GR-26110 Patras, Greece |
| Abstract: | 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. |
| Keywords: | 02 30 Ik 02 60 Pn 05 45 Pq 02 70 -c |
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