The Jacobi Stability of a Lorenz-Type Multistable Hyperchaotic System with a Curve of Equilibria
2019 ◽
Vol 29
(05)
◽
pp. 1950062
◽
Keyword(s):
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.
2018 ◽
Vol 33
(2)
◽
pp. 255
2016 ◽
Vol 14
(4)
◽
pp. 377-391
◽
Keyword(s):
2021 ◽
Vol 31
(04)
◽
pp. 2150052
2016 ◽
Vol 13
(06)
◽
pp. 1650079
◽
Keyword(s):
1993 ◽
Vol 24
(6)
◽
pp. 1577-1596
◽
1990 ◽
Vol 56
(530)
◽
pp. 2116-2122
Keyword(s):
Keyword(s):