Title :
Local Manifolds and Closed Orbits of the Conjugate Lorenz-Type System
Author :
Liu, Yongjian ; Gan, Jingzhong
Author_Institution :
Sch. of Math. & Inf. Sci., Yulin Normal Univ., Yulin, China
Abstract :
The present work is devoted to investigating the dynamical entities of conjugate Lorenz-type system. The local manifold character are all analyzed when the parameters are varied. Moreover, the existence of singularly degenerate heteroclinic cycles for a suitable choice of the parameters is investigated. And all the closed orbits of the system are also proven rigorously to be non-planar but only to be curves in space.
Keywords :
conjugate gradient methods; curve fitting; closed orbit; conjugate Lorenz-type system; local manifold character; singularly degenerate heteroclinic cycle; Bifurcation; Chaos; Eigenvalues and eigenfunctions; Limit-cycles; Manifolds; Orbits; Space vehicles; closed orbit; conjugate Lorenz-type system; local manifold; singularly degenerate heteroclinic cycle;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1798-7
DOI :
10.1109/IWCFTA.2011.16
