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Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Jul2021, Vol. 31 Issue 9, pN.PAG-N.PAG. 17p. - Publication Year :
- 2021
-
Abstract
- Many natural phenomena can be modeled as discontinuous dynamical systems separated by a nonregular line. The number and distribution of limit cycles in discontinuous linear systems are important topics for research. In this paper, we focus on the limit cycles created by discontinuous planar piecewise linear systems separated by a nonregular line of center–center type, and prove that such systems have at most two limit cycles, which can be reached. Furthermore, the two limit cycles are nested and intersect the separation line at two points or four points, that is, either both intersect the separation line at two points or one intersects the separation line at two points and the other one at four points. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIMIT cycles
*LINEAR systems
*DYNAMICAL systems
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 31
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 151580938
- Full Text :
- https://doi.org/10.1142/S0218127421501364