| Full text | |
| Author(s): |
da Cruz, Leonardo P. C.
;
Rezende, Alex C.
;
Torregrosa, Joan
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Qualitative Theory of Dynamical Systems; v. 24, n. 2, p. 19-pg., 2025-04-01. |
| Abstract | |
We study the simultaneous bifurcation of limit cycles in planar piecewise quadratic differential systems separated by a straight line. These limit cycles arise from a degenerate Hopf bifurcation at two equilibrium points in the positive and negative half-planes, as well as from an equilibrium on the separation line. All the limit cycles are of small amplitude. This bifurcation creates a configuration of limit cycles of type (3, 5, 3). Additionally, in each half-plane, the maximum number of small-amplitude hyperbolic limit cycles that a quadratic vector field can have is three. (AU) | |
| FAPESP's process: | 19/21181-0 - New frontiers in Singularity Theory |
| Grantee: | Regilene Delazari dos Santos Oliveira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 21/14987-8 - Bifurcation of limit cycles in smooth piecewise systems and an application in Medicine |
| Grantee: | Leonardo Pereira Costa da Cruz |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 22/14484-9 - Applications in biology of piecewise differential equations |
| Grantee: | Leonardo Pereira Costa da Cruz |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |