@article{10272/21705,
year = {2022},
url = {https://hdl.handle.net/10272/21705},
abstract = {Canard explosion is an appealing event occurring in singularly perturbed systems.
In this phenomenon, upon variation of a parameter within an exponentially small
range, the amplitude of a small limit cycle increases abruptly. In this letter we
analyze the canard explosion in a limit cycle related to a degenerate center (with
zero Jacobian matrix). We provide a second-order approximation of the critical
value of the parameter for which the canard explosion occurs. Numerical results are
compared with the analytical predictions and excellent agreements are found. As
in this problem the canard explosion ends in a homoclinic connection, a very good
approximation for the homoclinic curve in the parameter plane is also obtained.},
organization = {This work has been partially supported by the Ministerio de Econom´ıa y Competitividad, Spain (MTM2017-
87915-C2-1-P), by the Ministerio de Ciencia, Innovaci´on y Universidades, Spain (PGC2018-096265-B-I00)
and by the Consejer´ıa de Econom´ıa, Innovaci´on, Ciencia y Empleo de la Junta de Andaluc´ıa, Spain
(projects FQM-276, TIC-0130 and UHU-1260150). B.-W.Q. is also supported by the National Natural
Science Foundation of China (No. 12001110).},
publisher = {Elsevier},
title = {Study of a homoclinic canard explosion from a degenerate center},
doi = {10.1016/j.aml.2022.108203},
author = {Qin, Bo-Wei and Chung, Kwok-Wai and Algaba Durán, Antonio and Rodríguez Luis, Alejandro José},
}