@conference{10902/36075, year = {2024}, month = {8}, url = {https://hdl.handle.net/10902/36075}, abstract = {Reconstructing the complex behavior of chaotic dynamical systems from time series is a challenging task, due to the high sensitivity to initial conditions and other factors. In this paper, we formulate this issue as an optimization problem, which is addressed through a bio-inspired swarm intelligence technique: the cuckoo search algorithm with Lévy flights. The method is applied to reconstruct several periodic and chaotic behaviors of the Hénon map, a popular two-dimensional chaotic map. Our graphical and numerical results show that the proposed method is able to obtain suitable values for the parameters under optimization and reconstruct different system behaviors with good accuracy.}, organization = {Akemi Gálvez and Andrés Iglesias thank the financial support from the project PDE-GIR of the European Union’s Horizon 2020 research and innovation programme, in the Marie Sklodowska-Curie Actions (MSCA) programme, with grant agreement of reference number H2020-MSCA-RISE-2017-778035, and also from the Agencia Estatal de Investigación (AEI) of the Spanish Ministry of Science and Innovation, for the grant of the Computer Science National Program with reference number PID2021-127073OB-I00 of the MCIN/AEI/10.13039/501100011033/FEDER, EU. Iztok Fister thanks the Slovenian Research Agency for the financial support under Research Core Funding No. P2-0042 - Digital twin. Iztok Fister Jr. thanks the Slovenian Research Agency for the financial support under Research Core Funding No. P2-0057.}, publisher = {Association for Computing Machinery}, publisher = {ISMSI 2024: 8th International conference on intelligent systems, metaheuristics & swarm intelligence, Virtual conference Singapore april 24-25, 2024, New York, Association for Computing Machinery, 2024}, title = {Cuckoo search algorithm with Lévy flights for reconstruction of periodic and chaotic orbits of the 2D hénon map}, author = {Gálvez Tomida, Akemi and Fister, Iztok and Deb, Suash and Fister Jr, Iztok and Iglesias Prieto, Andrés}, }