## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- Electronic Research Announcements
- Conference Publications
- AIMS Mathematics

CPAA

In this paper, we report the existence of twelve small limit cycles
in a planar system with 3rd-degree polynomial functions.
The system has $Z_2$-symmetry, with a saddle point, or a node, or a
focus point at the origin, and two focus points which are symmetric
about the origin. It is shown
that such a $Z_2$-equivariant vector field can have twelve small
limit cycles. Fourteen or sixteen small limit cycles, as expected before,
cannot not exist.

## Year of publication

## Related Authors

## Related Keywords

[Back to Top]