Back to Search
Start Over
Twenty-Six Crossing Limit Cycles Around One Singular Point in a Cubic Switching System.
- Source :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering; 2022, Vol. 32 Issue 10, p1-7, 7p
- Publication Year :
- 2022
-
Abstract
- In this paper, we obtain a lower bound for the maximum number of crossing limit cycles for cubic planar switching systems with two regions separated by a straight line. By pseudo Hopf bifurcation and -order Lyapunov constants, we prove that there exist cubic near-integrable switching systems with at least 26 small-amplitude limit cycles bifurcating from an elementary center after suitable perturbations. To the best of our knowledge, this is the best lower bound so far for the cubic class by using a first order analysis. [ABSTRACT FROM AUTHOR]
- Subjects :
- LIMIT cycles
HOPF bifurcations
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 32
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 158792153
- Full Text :
- https://doi.org/10.1142/S0218127422501589