| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Autonoma Barcelona, Dept Matemat, Barcelona, Catalonia - Spain
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 45, n. 2 SEP 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In Leonov and Kuznetsov (2013), the authors shown numerically the existence of a limit cycle surrounding the unstable node that system (1) has in the positive quadrant for specific values of the parameters. System (1) is one of the Belousov-Zhabotinsky dynamical models. The objective of this paper is to prove that system (1), when in the positive quadrant Q has an unstable node or focus, has at least one limit cycle, and when f=2/3, q=epsilon 2/2, and epsilon > 0 sufficiently small this limit cycle is unique. (AU) | |
| FAPESP's process: | 19/21181-0 - New frontiers in Singularity Theory |
| Grantee: | Regilene Delazari dos Santos Oliveira |
| Support Opportunities: | Research Projects - Thematic Grants |