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Bifurcation Analysis of a Planar Piecewise Linear System of Focus–Focus Type.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Nov2023, Vol. 33 Issue 14, p1-20. 20p. - Publication Year :
- 2023
-
Abstract
- This paper is devoted to discussing the sliding bifurcation phenomena of a planar piecewise linear system with two zones separated by a straight line. We consider those systems for which in each zone there is precisely one real focus. By introducing Poincaré map and defining proper displacement function, some results on the existence of crossing periodic orbits, sliding periodic orbits, sliding-crossing periodic orbits and sliding homoclinic connections are obtained. Moreover, we establish some conditions for the simultaneous occurrence of crossing and sliding periodic orbits and show a concrete example. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POINCARE maps (Mathematics)
*ORBITS (Astronomy)
*EIGENFUNCTIONS
*LINEAR systems
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 33
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 173810492
- Full Text :
- https://doi.org/10.1142/S0218127423501651