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Planar quartic–quadratic fold–fold singularity of Filippov systems and its bifurcation.
- Source :
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Communications in Nonlinear Science & Numerical Simulation . Jul2024, Vol. 134, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- In this paper it is exhibited the bifurcation scenario concerning a typical singularity of planar piecewise smooth vector fields in two zones. This singularity is characterized by a quadratic contact of one vector field and a quartic contact of another vector field at the same point of the switching manifold. By means of a three parameter perturbation, we observe the presence of bifurcations like: Hopf Bifurcation, Sliding Hopf Bifurcation, the birth and annihilation of chaotic scenarios, among others. The two and three dimensional bifurcation diagrams are included. • quartic–quadratic fold singularity of planar piecewise smooth vector fields. • normal form of the quartic–quadratic fold singularity. • 3-parameter bifurcation of a planar piecewise smooth vector field. • Planar bifurcation diagrams. • tridimensional bifurcation diagram. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VECTOR fields
*HOPF bifurcations
*BIFURCATION diagrams
Subjects
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 134
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 177107103
- Full Text :
- https://doi.org/10.1016/j.cnsns.2024.108012