期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 29, 期 5, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127419500627
关键词
Lorenz-type system; KCC-theory; Jacobi stability; hyperchaos; curve of equilibria
资金
- National Natural Science Foundation of China [11701104, 11626068, 11801096]
- Natural Science Foundation of Guangdong Province, China [2015A030310424]
- Higher School Characteristic Innovation Fund of Guangdong Province, China [2016KTSCX076]
- Natural Science Research Project of Guangdong Education Department, China [2017KQNCX122]
- major research program of Colleges and Universities in Guangdong province [2017KZDXM054]
In this paper, a 4D Lorenz-type multistable hyperchaotic system with a curve of equilibria is investigated by using differential geometry method, i.e. with KCC-theory. Due to the deviation curvature tensor and its eigenvalues, the curve of equilibria of this hyperchaotic system is proved analytically to be Jacobi unstable under a certain parameter condition, and a periodic orbit of this system is proved numerically to be also Jacobi unstable. Furthermore, the dynamics of contravariant vector field near the curve of equilibria and the periodic orbit are studied, respectively, and their results comply absolutely with the above analysis of Jacobi stability.
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