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Pseudo and true singularly degenerate heteroclinic cycles of a new 3D cubic Lorenz-like system
- Source :
- Results in Physics, Vol 56, Iss , Pp 107243- (2024)
- Publication Year :
- 2024
- Publisher :
- Elsevier, 2024.
-
Abstract
- In contrast to the coexistence of infinitely many pseudo and true singularly degenerate heteroclinic cycles with nearby two-scroll hyperchaotic Lorenz-like attractors coined in four-dimensional systems, this note reports the ones with nearby bifurcated chaotic attractors in a new 3D cubic Lorenz-like system. Except for the rabbit head/boat shape two-scroll attractors, there exist globally exponentially asymptotically stable parabolic type equilibria and a pair of heteroclinic orbits. In addition, numerical simulations also validate the correctness of the theoretical analysis.
Details
- Language :
- English
- ISSN :
- 22113797
- Volume :
- 56
- Issue :
- 107243-
- Database :
- Directory of Open Access Journals
- Journal :
- Results in Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.9525ebd0c50424c98f385754b113cc5
- Document Type :
- article
- Full Text :
- https://doi.org/10.1016/j.rinp.2023.107243