RT Journal Article
T1 Study of a homoclinic canard explosion from a degenerate center
A1 Qin, Bo-Wei
A1 Chung, Kwok-Wai
A1 Algaba Durán, Antonio
A1 Rodríguez Luis, Alejandro José
AB Canard explosion is an appealing event occurring in singularly perturbed systems.In this phenomenon, upon variation of a parameter within an exponentially smallrange, the amplitude of a small limit cycle increases abruptly. In this letter weanalyze the canard explosion in a limit cycle related to a degenerate center (withzero Jacobian matrix). We provide a second-order approximation of the criticalvalue of the parameter for which the canard explosion occurs. Numerical results arecompared with the analytical predictions and excellent agreements are found. Asin this problem the canard explosion ends in a homoclinic connection, a very goodapproximation for the homoclinic curve in the parameter plane is also obtained.
PB Elsevier
SN 0893-9659
YR 2022
FD 2022
LK https://hdl.handle.net/10272/21705
UL https://hdl.handle.net/10272/21705
LA eng
NO Qin, B.-W., Chung, K.-W., Algaba, A., & Rodríguez-Luis, A. J. (2022). Study of a homoclinic canard explosion from a degenerate center. In Applied Mathematics Letters (Vol. 132, p. 108203). Elsevier BV. https://doi.org/10.1016/j.aml.2022.108203
NO 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 NaturalScience Foundation of China (No. 12001110).
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026