Converting a general 3-d autonomous quadratic system to an extended lorenz-type system
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 475-488 |
| Journal / Publication | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 16 |
| Issue number | 2 |
| Publication status | Published - Sept 2011 |
Link(s)
Abstract
A problem of reducing a general three-dimensional (3-D) autonomous quadratic system to a Lorenz-type system is studied. Firstly, under some necessary conditions for preserving the basic qualitative properties of the Lorenz system, the general 3-D autonomous quadratic system is converted to an extended Lorenz-type system (ELTS) which contains a large class of existing chaotic dynamical systems. Secondly, some different canonical forms of the ELTS are obtained with the aid of various nonsingular linear transformations and normalization techniques. Thirdly, the conjugate systems of the ELTS are defined and discussed. Finally, a sufficient condition for the nonexistence of chaos in such ELTS is derived.
Research Area(s)
- Bifurcation analysis, Lorenz-type system, Three-dimensional autonomous quadratic system
Citation Format(s)
Converting a general 3-d autonomous quadratic system to an extended lorenz-type system. / Hua, Cuncai; Chen, Guanrong; Li, Qunhong et al.
In: Discrete and Continuous Dynamical Systems - Series B, Vol. 16, No. 2, 09.2011, p. 475-488.
In: Discrete and Continuous Dynamical Systems - Series B, Vol. 16, No. 2, 09.2011, p. 475-488.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
